Limit in A Sentence

    1

    A bill vetoed by the governor becomes a law if it is approved by two-thirds of the members present in each house; and a bill not returned by the governor within six days (excepting Sunday; before 1908 the constitutional limit was three days) after its presentation to him becomes a law unless the return of the bill is prevented by the adjournment of the legislature.

    2

    A constitutional amendment of 1890 permits the re-election of the president without limit, the original clause prohibiting such a re-election.

    3

    A convincing argument backed by a previously stated policy may limit escalation of a crisis.

    4

    A further saving of juice was sometimes possible if the market prices of sugar were such as to compensate for the cost of evaporating an increased quantity of added water, but a limit was imposed by the fact that water might be used in excess.

    5

    A large part of Spalato is actually within the limit of the palace; and many modern houses are built against its ancient walls and incorporate parts of them, not only on the inner but also on the outer side.

    6

    A limit is placed on our knowledge of astrophysics which, up to the present time, we have found no means of overstepping.

    7

    A limit to homogeneity of radiation is ultimately set by the so-called Doppler effect, which is the change of wave-length due to the translatory motion of the vibrating molecule from or towards the observer.

    8

    A more natural limit is afforded by the presence of the chief deciduous trees - oak, beech, ash and sycamore.

    9

    A separate limit of 0.05 microgram/kg aflatoxin M 1 is applicable in milk and milk products.

    10

    A sermon which he preached before the Synod at St Andrews against the dissoluteness of the clergy gave great offence to the provost, who cast him into prison, and might have carried his resentment to the extremest limit had not Alesius contrived to escape to Germany in 1532.

    11

    A wonderfully accurate register, or successive superposition of each block, is got mainly by the skill of the printer, who is assisted only by a mark defining one corner and another mark showing the opposite side limit.

    12

    According to Nordenskjold r it numbers only twenty-nine species of mammals, of which seven are marine and seventeen or eighteen may be safely considered as living beyond the forest limit.

    13

    According to the Kachin Hill Tribes Regulation of 1895, administrative responsibility is accepted by the British government on the left bank of the Irrawaddy for the country south of the Nmaikha, and on the right bank for the country south of a line drawn from the confluence of the Malikha and Nmaikha through the northern limit of the Laban district and including the jade mines.

    14

    According to theory, there would be no well-defined lower limit; on the other side, the external vibration cannot be efficient if it tends to produce divisions whose length is less than the circumference of the jet.

    15

    African coast, lying between the Syrtis Major and Marmarica, the western limit being Arae Philaenorum, and the eastern a vague line drawn inland from the head of the gulf of Platea (Bomba).

    16

    After considerable hesitation Menelek sent, early in December, a note to the powers, in which, after thanking them for their intentions, he stipulated that the agreement should not in any way limit his own sovereign rights.

    17

    All metals are elastic to this extent that a change of form, brought about by stresses not exceeding certain limit values, will disappear on the stress being removed.

    18

    Although in general there is no limit on the amount of interest which a borrower may agree to pay, equity has always been ready to grant relief from unconscionable bargains.

    19

    Among these are the precise extent of demand, the limit of the inevitable fall in price with largely increased production, the cost of labour as increasing amounts are required, and the effect of changed conditions on the output of " wild " rubber and the competition of the new plantations which are being established in tropical America.

    20

    An inferior limit for the final collection is given by the Septuagint translation.

    21

    Analytical investigations revealed the existence of series or sequences which had no limit to the number of terms, as for example the fraction 1/(1 - x) which on division gives the series.

    22

    And a continuous force may be regarded as the limit of a succession of infinitesimal instantaneous impulses.

    23

    And how can we limit the day of the Lord entirely to the second Advent and the parousia?

    24

    And what is the time limit for such reactions?

    25

    And with this agrees a pottery cylindrical vessel, with official stamp on it (ΔHM0ΣION, &c.), and having a fine black line traced round the inside, near the top, to show its limit; this seems to be probably very accurate, and contains 58.5 cub.

    26

    Another defect is its relatively low elastic limit.

    27

    Any MSP may lodge amendments at Stage 2, and there is no limit on the number of amendments that may be lodged.

    28

    Apical cell, p. Wall marking limit between the plerome k, initial segment of root-cap. P and the pleriblem Pb.

    29

    Approximately its south border ran from a point slightly east of Tehuantepec to the bay of Honduras, and its north limit was that of the modern states of Michoacan and Guanajuato, then cutting across San Luis Potosi to a point just above Tampico.

    30

    As 6t is indefinitely diminished, the vector OU will tend to a definite limit OV; this is adopted as the definitiov of the velocity of the moving point at the instant t.

    31

    As a group they are cosmopolitan, their northern limit approaching that of the permanently frozen subsoil, while in the southern hemisphere the southern point of Patagonia forms the farthest limit.

    32

    As early as 1872 the operations of foreign sealers attracted the attention of the United States government, but any precautions then taken seem to have been directed against the capture of seals on their way through the passages between the Aleutian Islands, and no claim to jurisdiction beyond the three-mile limit appears to have been put forward.

    33

    As far as the Khabur Mesopotamia seems to have been a wellinhabited country from at least the 15th century B.C., when it constituted the Hittite kingdom of Mitanni, down to about the 12th century A.D., and the same is true of the country on the Syrian side of the Euphrates as far as the eastern limit of the Palmyrene.

    34

    As originally defined, argon included small proportions of these gases, but it is now preferable to limit the name to the principal constituent and to regard the newer gases as "companions of argon."

    35

    As soon as the march of conquest had reached its natural limit, slavery began to be modified; and when the empire was divided into the several states which had grown up under it, and the system of defence characteristic of the middle ages was substituted for the aggressive system of antiquity, slavery gradually disappeared, and was replaced by serfdom.

    36

    As the development of embryo and endosperm proceeds within the embryo-sac, its wall enlarges and commonly absorbs the substance of the nucellus (which is likewise enlarging) to near its outer limit, and combines with it and the integument Fruit and to form the seed-coat; or the whole nucellus and even the integument may be absorbed.

    37

    As the same limit is applied by him to all transcendent rational " ideals," and especially to those which refer to the content of the notion of the world, and, like all psychological and ontological "ideals," belong to the imaginary transcendent, his conclusion is that reason, in transcending experience, logically conceives " ideals," but never logically infers corresponding realities.

    38

    As the temperature 0" is lowered, the area of the cycle increases, but since W can never exceed H', there must be a zero limit of temperature at which the pressure would vanish and the area of the cycle become equal to the whole heat absorbed at the higher temperature.

    39

    As this is not the incorporation of either into the living sobstance, but is only its manufacture into the complex substances which we find in the plant, it seems preferable to limit the term assimilation to the processes by which foods are actually taken into the protoplasm.

    40

    As this struggle is of too complex a nature to be described in detail, we must limit ourselves to a summary of its leading episodes.

    41

    At such pressures all but the strongest rocks will be strained beyond their limit of elasticity.

    42

    At the age of twenty-two (1799), he was elected to a constitutional convention in Kentucky; at twenty-six, to the Kentucky legislature; at twenty-nine, while yet under the age limit of the United States constitution, he was appointed to an unexpired term (1806-1807) in the United States Senate, where, contrary to custom, he at once plunged into business, as though he had been there all his life.

    43

    At the congress of Vienna (November 1814) the principle was acknowledged that the slave trade should be abolished as soon as possible; but the determination of the limit of time was reserved for separate negotiation between the powers.

    44

    At the date of the issue of the circular the agreements with France and Portugal had partially defined the boundaries of the Free State on the lower river, and the 30th degree of longitude east of Greenwich was recognized as the limit of its extension eastwards.

    45

    At the limit of dilution, when the concentration of a solution approaches zero, we have seen that thermodynamical theory, verified by experiment, shows that the osmotic pressure has the same value as the gas pressure of the same number of molecules in the same space.

    46

    At the present time compilers of strata maps generally limit themselves to two or three colours, in various shades, with green for the lowlands, brown for the hills and blue for the sea.

    47

    At Tsaritsyn the great river reaches its extreme south-western limit, and is there separated from the Don by an isthmus only 45 m.

    48

    Barley is the most hardy of all cereal grains, its limit of cultivation extending farther north than any other; and, at the same time, it can be profitably cultivated in sub-tropical countries.

    49

    Before it had been made known in sundry portions to the fathers, it had been kept in heaven by the angels, and to its observance there was no limit in time or in eternity.

    50

    Before Nerazzini could reach Adis Ababa, Rudini, in order partially to satisfy the demands of his Radical supporters for the abandonment of the colony, announced in the Chamber the intention of Italy to limit her occupation to the triangular zone between the points Asmar, Keren and Massawa, and, possibly, to withdraw to Massawa alone.

    51

    Behind rise rugged masses of rock, the southern wall of the Anjera country, practically closed to Europeans, and across the valley are the hills which form the northern limit of the still more impenetrable Rif.

    52

    Berry-yielding plants are found everywhere, even on the goltsy, at the upper limit of tree vegetation; on the lower grounds they are an article of diet.

    53

    Beyond a certain limit no mechanical disruption of the body could hasten the process of decomposition.

    54

    Blending with these at their upper limit and continuing above them are clumps of mountain mahogany, which sometimes attains a height of 20 or 30 ft.

    55

    Boscovich himself, in order to obviate the possibility of two atoms ever being in the same place, asserts that the ultimate force is a repulsion which increases without limit as the distance diminishes without limit, so that two atoms can never coincide.

    56

    Bounded south, as stated, by the Zwaarteberg, further east by the Zuurberg (of the coast chain), its northern limit is the mountain range which, under various names, such as Nieuwveld and Sneeuwberg, forms the wall of the inner plateau.

    57

    Buffalo from its position at the eastern limit of deep draught lake navigation is a city of first rate commercial importance.

    58

    But although the argument from gratings is instructive and convenient in some respects, its use has tended to obscure the essential unity of the principle of the limit of resolution whether applied to telescopes or microscopes.

    59

    But in 1860 the annexation Nice and the adjoining territory to France brought the political frontier farther east, to a point between Mentone and Ventimiglia which constitutes no natural limit.

    60

    But in the treaty of 1894 between the United States and Japan there is nothing to limit the free immigration of Japanese; and several companies have been formed to promote it.

    61

    But just as he maintained at the time of the conflict, and after, that there would have been no Crimean War had not the British government convinced the tsar that it was in the hands of the peace party, so now he believed that a bold policy would prevent or limit war, and at the worst put off grave consequences which otherwise would make a rapid advance.

    62

    But the mystery latent in our ideas of space and time is, that " something in the mind " irresistibly hinders us from allowing the possibility of any limit to either.

    63

    But the surface-tension, acting on a cylindric column of liquid whose length exceeds the limit of stability, begins to produce enlargements and contractions in the stream as soon as the liquid has left the orifice, and these inequalities in the figure of the column go on increasing till it is broken up into elongated fragments.

    64

    But there is a limit of imperturbability, and when that limit is reached, the subsequent passion is desperately vehement.

    65

    But this limit varies greatly with different individuals and with age for the same individual.

    66

    But this marked the limit of his triumph.

    67

    But this was looked on as too near the limit of safety to be relied on, and in 1899 subsidiary weirs were started across both branches of the river a short distance below the two barrages.

    68

    But this was the limit of his offensive possibilities, and the weather presently brought operations to a close for the time being.

    69

    But this was the limit of the Swedish advance.

    70

    But time and again they unite to defend the status quo and to seek to limit progressive reform.

    71

    But, as he refused to limit his ministrations to one sect, the Seceders and he parted company, and without their countenance he made a tour through the principal towns of Scotland, the authorities of which in most instances presented him with the freedom of the burgh, in token of their estimate of the benefits to the community resulting from his preaching.

    72

    But, he added, as the Ego is not conscious of this self-determining activity, but forgets itself, the non-Ego seems to be something independent, a foreign limit, a thing in itself, or per se.

    73

    By considering the circle as the limit of a polygon, it follows that the formulae (iii) and (v) of § 26 hold for a right circular cylinder and a right circular cone; i.e.

    74

    By the Constitution the tax rate is limited to $5 on the thousand, and, as the rate of taxation has increased faster than the taxable property, the state has been forced to contract several temporary loans since 1901, none of which has exceeded $200,000, the limit for each year set by the Constitution.

    75

    Captain Christopher Billopp made the trip within the time limit and was rewarded with a grant of 1163 acres at the south end of the island.

    76

    Cedrus atlantica, a variety of Abies Pinsapo, Juniperus thurifera, Callitris quadrivalvis, occur in the north-west region, which may be regarded as the southern limit of the Mediterranean region.

    77

    Chrome steel, which usually contains about 2% of chromium and o 80 to 2% of carbon, owes its value to combining, when in the " hardened " or suddenly cooled state, intense hardness with a high elastic limit, so that it is neither deformed permanently nor cracked by extremely violent shocks.

    78

    Clearly, if the excesses are frequent, the limit must be too low; if infrequent, all the physical and administrative complication involved in the system is employed to very little purpose.

    79

    Comparing the old constitutions with the new ones, it may be said that the note of those enacted in the first thirty or forty years of the republic was their jealousy of executive power and their careful safeguarding of the rights of the citizen; that of the second period, from 1820 to the Civil War (186165), the democratization of the suffrage and of institutions generally; that of the third period (since the war to the present day), a disposition to limit the powers and check the action of the legislature, and to commit power to the hands of the whole people voting at the polls.

    80

    Count Rostopchin paused, feeling that he had reached the limit beyond which censure was impossible.

    81

    Critics who limit their view to the Kritik of Pure Reason, and there, in all probability, to the first or constructive portion of the work, must necessarily fail to interpret the doctrines of the Kantian system, which do not become clear or definite till the system has been developed.

    82

    Dawes found the best method for the purpose in question was to limit the aperture of the object-glass by a diaphragm having a double circular aperture, placing the line joining the centres of the circles approximately in the position angle under measurement.

    83

    Dean's patience with bureaucracy was thin during the best of times, but dealing with various branches of social services over the past winter stretched and frazzled his tolerance to the limit.

    84

    Descending to the lowlands on either side of the plateau, the temperature rises steadily until the upper limit of the tropical region, called tierras calientes, is reached, where the climate is hot, humid and unhealthy, as elsewhere in the forested coastal plains of tropical America.

    85

    Diplomatic interviews, exhausting journeys, impressive mass meetings, brilliant literary propaganda - all these methods were employed by him to the utmost limit of self-denial.

    86

    Don't limit it just to plants.

    87

    Drastic measures were necessary to limit expenditure and to provide new sources of revenue.

    88

    During the reign of Maria Theresa, and to a greater extent during that of her son Joseph II., many changes in the internal administration of the Habsburg realm took place which all tended to limit yet further the autonomy of Bohemia.

    89

    Each singular kind presents itself as a limit separating two kinds of inferior singularity; the cuspidal separates the crunodal and the acnodal, and these last separate from each other the complex and the simplex.

    90

    Eight hours is the limit of a day's work in mines and smelters.

    91

    Enrolment ceased to be obligatory, lasted only for a year, and the limit of age was dispensed with.

    92

    Eschenhagen 2 first designed a set of magnetographs in which this idea of small moment of inertia was carried to its useful limit, the magnets only weighing 1 .

    93

    Even in the contrary case, the thickness of the plate must not exceed a certain limit, dependent upon the purity of the spectrum.

    94

    Even where a large number of the somites have fused, there is generally a marked change in the character of the appendages after the fifth pair, and since the integumental fold which forms the carapace seems to originate from this point, it is usual to take the fifth somite as the morphological limit of the cephalon throughout the class.

    95

    Every simple continued fraction must converge to a definite limit; for its value lies between that of the first and second convergents and, since f ?n _ _1 I, L t.

    96

    Except in the south, towards Bohemia, where the Erzgebirge forms at once the limit of the kingdom and of the empire, the boundaries are entirely political.

    97

    F His point was that there are no things in themselves different from minds or acting on them; that man is no product of things; nor does his thinking arise from passive sensations caused by things; nor is the end of his existence attainable in a world of things; but that he is the absolute free activity constructing his own world, which is only his own determination, his self-imposed limit, and means to his duty which allies him with God.

    98

    Finally, it concludes with the limit (6pos) of goods.

    99

    Finally, the substance is reconverted into the first state at the temperature 0", completing the cycle by the abstraction of a quantity of heat By the application of the first law, the difference of the quantities of heat absorbed and evolved in the cycle must be equal to the work represented by the area of the cycle, which is equal to (p' - p") (v" - v') in the limit when the difference of pressure is small.

    100

    Finally, the treatise concludes with saying that the limit of gentlemanliness has thus been stated, meaning that its limit is the service and contemplation of God and the control of desire by reason.

    101

    First it finds the limit of goods of fortune in that desire and possession of them which will conduce to the contemplation of God, whereas that which prevents the service and contemplation of God is bad.

    102

    Flora.The Alpine flora, which is found in the United States only on the tops of those mountains which rise above the limit of trees, consists principally of a variety of plants which bloom as soon as the snow melts and for a short season make a brilliant display of colors.

    103

    For a quarter of the year the flocks and herds are fed on the upper pastures; but the true limit of the wealth of a district is the number of animals that can be supported during the long winter, and while one part of the population is engaged in tending the beasts and in making cheese and butter, the remainder is busy cutting hay and storing up winter food for the cattle.

    104

    For given values of n and 0 we have two possible values of i,l provided n exceed a certain limit.

    105

    For the acid variety of this process, which does not remove sulphur, this most harmful element must be held below a limit which is always low, though it varies somewhat with the use to which the steel is to be put.

    106

    For this reason there is sometimes employed two very narrow threads lying beside one another, and which limit the image as nearly as possible.

    107

    Fortunately its embrittling effect on cast iron is very much less than on steel, so that the upper limit or greatest tolerable proportion of phosphorus, instead of being o.10 or better 0.08% as in the case of rail steel, may be put at 0.50% in case of machinery castings even if they are exposed to moderate shocks; at 1.60% for gas and water mains in spite of the gravity of the disasters which extreme brittleness here might cause; and even higher for castings which are not exposed to shock, and are so thin that the iron of which they are made must needs be very fluid.

    108

    Friction-CouplingsFriction is useful as a means of communicating motion where sudden changes either of force or velocity take place, because, being limited in amount, it may be so adjusted as to limit the forces which strain the pieces of the mechanism within the bounds of safety.

    109

    From 1897 to 1903 the efforts of the Street Railway Companies of Chicago to extend their franchise, and of the city of Chicago to secure municipal control of its street railway system, resulted in the statute of 1903, which provided for municipal ownership. But the proposed issue under this law of bonds with which Chicago was to purchase or construct railways would have increased the city's bonded indebtedness beyond its constitutional limit, and was therefore declared unconstitutional in April 1907 by the supreme court of the state.

    110

    From its mouth to the limit of navigability from the sea the river is in British territory; above that point it flows through French territory.

    111

    From the close of the Permian period, which marks the limit of the Upper Palaeozoic floras, to the .period immediately preceding the apparently sudden appearance of Angiosperms, we have a succession of floras differing from one another in certain minor details, but linked together by the possession of many characters in common.

    112

    From the Fraunhofer formula I =X/n sin a one can immediately deduce the limit to the diffraction constant I, so that the banding by an objective of fixed numerical aperture can be perceived.

    113

    Galileo received, as the result of a conference between Cardinals Bellarmin and Del Monte, a semi-official warning to avoid theology, and limit himself to physical reasoning.

    114

    Garnet, it is true, claimed to limit the justification of equivocation to cases " of necessary defence from injustice and wrong or of the obtaining some good of great importance when there is no danger of harm to others," and he could justify his conduct in lying to the council by their own conduct towards him, which included treacherous eavesdropping and fraud, and also threats of torture.

    115

    Greece for her part had a minor objective in Epirus - a region of which the northern limit was vague - and as a major objective Salonika and the Aegean littoral beyond, not to mention more remote objects in Asia Minor.

    116

    Hares, for a long period extinct, were reintroduced about 1830, rabbits are very numerous, and the northern limit of the hedgehog is drawn at Lerwick.

    117

    Having been appointed president of one of the chambers of the court of cassation, he devoted himself entirely to judicial work until his retirement, under the age limit, on the 31st of May 1860.

    118

    He accepts this fact; he does not inquire why mind finds itself obliged to add without limit and to divide without limit.

    119

    He also carried to a very extreme limit his views of nomenclature, which were certainly not in accordance with those held by most zoologists,, though this is a matter so trifling as to need no details in illustration.

    120

    He at once brought his second line back to oppose them, but while he was doing so the French leader filled up the gap between himself and the frontal assailants by posting infantry around Wagnelee, and also guns on the neighbouring hill whence their fire enfiladed both halves of the enemy's army up to the limit of their ranging power.

    121

    He burned phosphorus in air standing over mercury, and showed that (1) there was a limit to the amount of phosphorus which could be burned in the confined air, (2) that when no more phosphorus could be burned, one-fifth of the air had disappeared, (3) that the weight of the air lost was nearly equal to the difference in the weights of the white solid produced and the phosphorus burned, (4) that the density of the residual air was less than that of ordinary air.

    122

    He did not indeed declare war against France; bitt he sought to set a limit to her conquests in the winter, though he had not sought to set a limit to the conquests of the allied sovereigns in the preceding summer.

    123

    He drove the speed limit - no more, no less.

    124

    He made a wretched emissary, and there was no limit to his arrogance, noisiness and indiscretion.

    125

    He resolved to suppress many abuses, but, above all things, to check feudalism and limit the power of the nobles.

    126

    He was handicapped by the mutual jealousy of the Saxons and the Poles, and a struggle broke out in Poland which was only ended when the king promised to limit the number of his army in that country to 18,000 men.

    127

    Helmholtz in 1871 is the ` foundation of the important doctrine of the microscopic limit.

    128

    Hence he united theoretical and practical reason, which Kant had separated, and both with will, which Kant had distinguished; for he held that the Ego, in positing the non-Ego, posits both its own limit and its own means to the end, duty, by its activity of thinking which requires will.

    129

    Hermon is referred to as a northern limit, and Salecah is alluded to in addition to the other cities already mentioned.

    130

    Hibil, at the instance of the supreme God, also taught men about the world of light and the aeons, and especially gave them to know that not P'tahil but another was their creator and supreme God, who as "the great king of light, without number, without limit," stands far above him.

    131

    His charities were without limit; thus he contributed £300,000 for the relief of the sufferers from the Bengal famine of 1873-1874, and it is computed that during his possession of the raj he expended at least f 2,000,000 on charities, works of public utility, and charitable remissions of rent.

    132

    His chief administrative reforms were designed to secure centralized government and to limit the jurisdiction of feudal courts.

    133

    His map formed a parallelogram measuring 75,800 stadia from Usisama (Ushant island) or Sacrum Promontorium in the west to the mouth of the Ganges and the land of the Coniaci (Comorin) in the east, and 46,000 stadia from Thule in the north to the supposed southern limit of Libya.

    134

    His personal tastes, apart from his activities as a Maecenas, being economical, he endeavoured also to limit public expenditure, in a way which was not always a benefit to the country.

    135

    However we may interpret the lower limit of this period, the literature which it embraces is immense.

    136

    Howie had nearly reached his limit when he heard someone enter the room!

    137

    I broke the speed limit wasting no time getting there.

    138

    Ibex live habitually at a greater height than chamois or any other Alpine mammals, their vertical limit being the line of perpetual snow.

    139

    If 2R be the diameter of the objectglass and D the distance of the object, the angle subtended by AP is E/D, and the angular resolving power is given by X/2 D sin a = X/2 R (3) This method of derivation (substantially due to Helmholtz) makes it obvious that there is no essential difference of principle between the two cases, although the results are conveniently stated in different forms. In the case of the telescope we have to deal with a linear measure of aperture and an angular limit of resolution, whereas in the case of the microscope the limit of resolution is linear, and it is expressed in terms of angular aperture.

    140

    If a formal proof be desired, it may be obtained by introducing into the integral a factor such as P, in which h is ultimately made to diminish without limit.

    141

    If H could be increased without limit, so also could the tractive force.

    142

    If the contamination exceed a certain limit, the scrapings remain quite dead.

    143

    If the effort varies by insensible gradations, the energy exerted is the integral or limit towards which that sum approaches continually as the divisions of the path are made smaller and more numerous, and is expressed by JPds.

    144

    If the ego be a striving power, then of necessity a limit must be set by which its striving is manifest.

    145

    If the ego be pure activity, free activity, it can only become aware of itself by positing some limit.

    146

    If the limit be drawn at a population of 2500 (a truer division) the urban.

    147

    If we suppose the diameter of the lens to be given (2R), and its focal length f gradually to increase, the original differences of phase at the image of an infinitely distant luminous point diminish without limit.

    148

    If, as suffices for all practical purposes, we limit the application of the formulae to points in advance of the plane at which the wave is supposed to be broken up, we may use simpler methods of resolution than that above considered.

    149

    In 119 as tribune he proposed a law intended to limit the influence of the nobles at elections.

    150

    In 1300 the outer ring of walls was completed, the earlier circumvallation being marked by the limit of the Altstadt (old city).

    151

    In 1784 Virginia agreed to the extension of the line and to the establishment of the western limit (the present boundary between Pennsylvania and Ohio) as the meridian from a point on the Mason and Dixon line five degrees of longitude west of the Delaware river.

    152

    In 1812 it reaches its extreme limit, Moscow, and then, with remarkable symmetry, a countermovement occurs from east to west, attracting to it, as the first movement had done, the nations of middle Europe.

    153

    In 1834, in the Tennessee constitutional convention he endeavoured to limit the influence of the slaveholders by basing representation in the state legislature on the white population alone.

    154

    In 1885 a state law placed a limit on the contractable debt and upon the taxation rate of the city.

    155

    In 1904 Sturdza was able to exceed the proposed limit of annual expenditure, £8,740,000, owing to a great increase in the value 1901-5.

    156

    In 1917 he was made commanding-general, U.S. army, but later in the year retired, having reached the age limit.

    157

    In all cases, however, there is a limit, and after it is reached the ordinary effects of these substances are seen.

    158

    In all other cases there must be an upper anda lower limit to the altitude.

    159

    In Astrolabe i Bay the limit is 6; with the more degraded tribes it is 3, or, as in Torres straits, they have names only for 1 and 2; 3 is 2 +1.

    160

    In creased length necessitated an increase in the diameter of the main tube to limit the amplitude of the vibrations caused by being pushed through the water.

    161

    In either of the above cases, and generally in any case where a number is known to be within a certain limit on each side of the stated value, the limit of error is expressed by the sign =.

    162

    In fact, as mentioned in the article Mouse, there is no possibility of defining the term "rat" when used in a sense other than as relating to the two species above mentioned; while there is also no hard-and-fast limit between the terms "rats" and "mice" when these are likewise employed in their now extended sense, "rats" being merely larger "mice," and vice versa.

    163

    In fact, as the span increases a point is reached at which the dead weight of the superstructure becomes so large that a limit is imposed to any further increase of span.

    164

    In fact, Rashi never went farther than from the Seine to the Rhine; the utmost limit of his travels were the academies of Lorraine.

    165

    In Gymnosperms, where vessels and fibres are absent, the late summer wood is composed of radially narrow thick-walled tracheids, the wood of the succeeding spring being wide-celled and thin-walled, so that the limit of the years growth is very well marked.

    166

    In Lake county, for example, very much of the argentiferous ore that is too low for remunerative extraction (limit 1903 about $12.00 per ton) is used for fluxes.'

    167

    In like manner several of the western forms suited to drier climates find their eastern limit in Kumaon.

    168

    In limiting the diameter at the tuyeres to 122 ft., the height of the boshes to one which will keep their upper end below the region of pastiness, and their slope to one over which the burning coke will descend freely, we limit the width of the furnace at the top of the boshes and thus complete the outline of the lower part of the furnace.

    169

    In mathematics, the term " infinite " denotes the result of increasing a variable without limit; similarly, the term " infinitesimal," meaning indefinitely small, denotes the result of diminishing the value of a variable without limit, with the reservation that it never becomes actually zero.

    170

    In most cases this is not possible; and we have first to consider the convergence of the sequence or of the series which it represents, and then to determine its limit by indirect methods.

    171

    In my practice, I limit caudal epidural anesthesia to children who are still small enough for their mothers to carry.

    172

    In November 1899 he was put in command of the South Atlantic Station, and in October 1901 he retired from active service upon reaching the age limit.

    173

    In order that numerical results obtained by summing the first few terms of a series may be of any value, it is usually necessary that the series should converge to a limit; but there are exceptions to this rule.

    174

    In some parts of the Alps the limit maybe set at about 8000 ft.

    175

    In some species it is possible that they have scarcely more than one day's existence, but others are far longer lived, though the extreme limit is probably rarely more than a week.

    176

    In the 4th century, however, Philippus of Theangela in south Caria describes Leleges still surviving as serfs of the true Carians, and Strabo, in the 1st century B.C., attributes to the Leleges a well-marked group of deserted forts, tombs and dwellings which ranged (and can still be traced) from the neighbourhood of Theangela and Halicarnassus as far north as Miletus, the southern limit of the "true Carians" of Pherecydes.

    177

    In the case of diagnosis of congenital anomaly, there is no upper limit.

    178

    In the case of imperfect gases, all the available experimental evidence shows that the specific volume tends towards its ideal value, V =Re/p, in the limit, when the pressure is indefinitely reduced and the molecules are widely separated so as to eliminate the effects of their mutual actions.

    179

    In the case of young children the limit is probably two.

    180

    In the cattle classes, aged beasts of huge size and of considerably over a ton in weight used to be common, but in recent years the tendency has been to reduce the upper limit of age, and thus to bring out animals ripe for the butcher in a shorter time than was formerly the case.

    181

    In the countries which bound its northern limit it is not frequently met with, but in South America it is quite common, and Don Felix de Azara states that when the Spaniards first settled in the district between Montevideo and Santa Fe, as many as two thousand were killed yearly.

    182

    In the eastern Himalaya the ordinary winter limit of snow is 6000 ft.

    183

    In the Forth bridge for members in which the stress varied from o to a maximum frequently, the limit was 5.0 tons per sq.

    184

    In the great fir forests of the north the limit set in respect of cutting down living trees for sawing and export is a diameter of the trunk, without bark, of 84 in.

    185

    In the latter case the United States, after the purchase of Alaska, vainly attempted to assert dominion beyond the three-mile limit.

    186

    In the limit of dilution when n is very small compared with N this gives Raoult's experimental law that the relative lowering is n/N, which we deduced from the osmotic law, and conversely from which the osmotic law follows, while for more concentrated solutions agreement is obtained by assigning arbitrary values to a, which, as we have seen, is 5 in the case of cane-sugar.

    187

    In the limit then, when the concentration of the solution becomes vanishingly small, theory shows that the osmotic pressure is equal to the pressure of a gas filling the same space.

    188

    In the middle of the 19th century the southern limit of the Kachins was 200 m.

    189

    In the motion consequent on any slight disturbance the total energy T+V is constant, and since T is essentially positive it follows that V can never exceed its equilibrium value by more than a slight amount, depending on the energy of the disturbance, This implies, on the present hypothesis, that there is an upper limit to the deviation of each co-ordinate from its equilibrium value; moreover, this limit diminishes indefinitely with the energy of the original disturbance.

    190

    In the Nicomachean as in the Eudemian Ethics the limit above moral virtue is right reason, or prudence, which is right reason on such matters; and above prudence wisdom, for which prudence gives its orders; while wisdom is the intelligence and science of the most venerable objects, of the most divine, and of God.

    191

    In the north-east, between the Lot and its tributary the Truyere, lies the lonely pastoral plateau of the Viadene, dominated by the volcanic mountains of Aubrac, which form the north-eastern limit of the department and include its highest summit (4760 ft.).

    192

    In the north, its boundary skirts the river Wawa; in the west, it corresponds with the eastern limit of the Nicaraguan highlands; in the south, it is drawn along the river Rama.

    193

    In the north, where the province borders Semipalatinsk, it includes the western parts of the Tarbagatai range, the summits of which (10,000 ft.) do not reach the limit of perpetual snow.

    194

    In the Northern Alps the pine forests rarely surpass the limit of 6000 ft.

    195

    In the present survey we shall limit ourselves to the great formative periods in this literature - in Judaism to 200 B.C. t0 A.D.

    196

    In the southern coalfields it is usually known by the miners' name of " Farewell rock," from its marking the lower limit of possible coal working.

    197

    In the tropical zone large figs abound, Terminalia, Shorea (sal), laurels, many Leguminosae, Bombax, Artocarpus, bamboos and several palms, among which species of Calamus are remarkable, climbing over the largest trees; and this is the western limit of Cycas and Myristica (nutmeg).

    198

    In Turkey, and above all in Egypt, it has been found necessary greatly to limit the sphere and influence of the canonical jurists and to introduce institutions nearer to Western legal usage.

    199

    Incubation, however, is so difficult a thing to determine that it is unwise to lay down any positive limit.

    200

    Indeed, no limit has yet been found to the temperature which can be reached, if matters are so arranged that not only the carbon and silicon of the pig iron, but also a considerable part of the metallic iron which is the iron itself, are oxidized by the blast; or if, as in the Walrand-Legenisel modification, after the combustion of the initial carbon and silicon of the pig iron has already raised the charge to a very high temperature, a still further rise of temperature is brought about by adding more silicon in the form of ferro-silicon, and oxidizing it by further blowing.

    201

    Instead of science proceeding at the slow speed of time, the only limit on its progress will be processor speed—and those two speeds hardly can be compared.

    202

    It appears that the contraction which followed the initial extension of the iron reached a limit in fields of i 000 or 1100.

    203

    It became necessary to enforce the terms of that convention, under which the fishermen of the United States could not pursue their avocations within the three miles' limit, tranship cargoes of fish in Canadian ports, or enter them except for shelter, water, wood or repairs.

    204

    It has been commonly thought that the production of cotton in the south is limited by the amount that can be picked, but this limit is evidently very remote.

    205

    It has been conjectured that the "estuary" here mentioned refers to the Baltic, the existence of which as a separate sea was unknown to all ancient geographers; but the obscure manner in which it is indicated, as well as the inaccuracy of the statements concerning the place from whence the amber was actually derived, both point to the sort of hearsay accounts which Pytheas might readily have picked up on the shores of the German Ocean, without proceeding farther than the mouth of the Ems, Weser or Elbe, which last is supposed by Ukert to have been the limit of his voyage in this direction.

    206

    It is apparently the northern limit of what was once a vast basaltic plain stretching from Goona to Belgaum, "one of the most gigantic outpourings of volcanic matter in the world."

    207

    It is difficult, however, to limit its action, and glacial acetic and nitric acids are preferable for this purpose.

    208

    It is evident that, in this case, P ' p2, are two series of positive integers increasing without limit if the fraction does not terminate.

    209

    It is highly characteristic of the Malacostraca, however, that the trunk-limbs are divided into two sharply defined tagmata corresponding to the thoracic and abdominal regions respectively, the limit between the two being marked by the position of the male genital openings.

    210

    It is in this sense that the name Numidia is used by Polybius and all historians down to the close of the Roman republic. The Numidians, as thus defined, were divided into two great tribes, - the lvlassyli on the east, and the Massaesyli on the west - the limit between the two being the river Ampsaga, which enters the sea to the west of the promontory called Tretum, now known as the Seven Capes.

    211

    It is not likely that such a result will ever be fully attained in practice; but the case is worth stating, in order to show that there is no theoretical limit to the concentration FIG.

    212

    It is the limit of navigation on the Irrawaddy, and the terminus of the railway from Rangoon and Sagaing.

    213

    It is the supreme duty, therefore, of all states to place some limit on these increasing armaments, and find some means of averting the calamities which threaten the whole world."

    214

    It is true that as much might be inferred from Persons the testimony of the romance writers; historical empowered evidence, however, tends to limit the proposition, and to confer the sounder conclusion appears to be, as Sir Harris Knighthood.

    215

    It is very doubtful whether this pressure is ever reached, but such a limit rather than that of the vertical stress must be considered when the height of a dam demands it.

    216

    It may be remarked that this is a limit separating the two cases where the intersections are all real, and where they are one real, two imaginary.

    217

    It may have some limit in theory, because there is an optimal arrangement of atoms in the universe; but for practical purposes, it has no limit.

    218

    It runs from the mouth of Loch Ryan in a sinuous north-easterly direction, keeping near the northern limit of the region till it reaches the basin of the Nith, where it quits the Uplands altogether, descends into the lowlands of Ayrshire, and, after circling round the headwaters of the Nith, strikes south-eastwards across half the breadth of the Uplands, then sweeps north and eastwards between the basins of the Clyde, Tweed and Annan, and then through the moors that surround.

    219

    It seems almost as though this branch had reached its limit, and as though any further developments can only be a question of duplication of the existing facilities so as to print from a greater number of cylinders than, say, an octuple machine.

    220

    It thus appears that each successive invasion had a more easterly western limit, and that the gradual narrowing of the range of plague, which began in the 17th century, was still going on.

    221

    It was decided that the United States had no jurisdiction in the Bering Sea beyond the three miles' limit, but the court also made regulations to prevent the wholesale slaughter of fur-bearing seals.

    222

    It was deprived of this privilege in 1891, when only the harbour was declared to be outside the customs limit.

    223

    It was intended as a temporary tax for war purposes only, and was repealed in 1802, but was reimposed when the war recommenced in 1803, with the limit of abatement reduced to £150.

    224

    It was not, however, possible to limit the imperial responsibility as Bismarck intended.

    225

    It was shown by Young that, to do this with the least total number of teeth, the velocity ratio of each elementary combination should approximate as nearly as possible to 3.59., This would in many cases give too many axes; and, as a useful practical rule, it may be laid down that from 3 to 6 ought to be the limit of the velocity ratio of an elementary combination in wheelwork.

    226

    It was to be applied by redemption at the best price possible on the market, until that price stood at £T66.66, when, if the rate of interest served were 1%, it was to proceed by drawings; if the interest were anything more than 1%, and less than 3%, the limit of price for redemption was to be raised to U75; if the interest were between 3% and 4% inclusive, the limit was to be raised to par.

    227

    It was to be, as it were, a Chinese wall, marking the definite limit of the Roman world.

    228

    It will thus be seen that the far north and far south alike decreased in population, the decline being largely due to physical conditions, though it need not be supposed that the limit of population was reached in either area.

    229

    Its debt limit is 2% on the assessed valuation, and even that low maximum is not often reached.

    230

    Its eastern limit in Europe is a line from Konigsberg to the Caucasus; thence through China it is continued by varietal forms to Japan.

    231

    Its members were to reach the limit of woo years in happiness and peace.

    232

    Its northern limit was the crest of Mt.

    233

    Its principal river is the Rapel, sometimes considered as the southern limit of the Inca empire.

    234

    Khorasan to the Perso-Afghan border, its western limit being indicated by a long line to the northwest from near Shiraz, taking in the whole upper country to the Russian frontier and the Elburz; (2) the provinces south and south-west of the Caspian; (3) a narrow strip of wooded country south-west of the Zagros range, from the Diyala River in Turkey in Asia to Shiraz; (4) the Persian side of the Shatt-el-Arab, and Aralictan, east of the Tigris; and (5) the shores of the Persian Gulf and Baluchistan.

    235

    Koenig constructed a series of bars forming a harmonicon, the frequency of each bar being calculable, and he found the limit to be between 16,000 and 24,000.

    236

    Land which is neither cultivable nor under forest (marsh land or, in the northern mountainous districts, land above the upper limit of the forests) amounts to 61% in the far north and 36% in the Smaland highlands, but only to 15% in the central plains and in Skane.

    237

    Let A be the dead load and B the live load, producing stress in a bar; p =B / A the ratio of live to dead load; f i the safe working limit of stress for a bar subjected to a dead load only and f the safe working stress in any other case.

    238

    Limit entry by Chinese to the program to those with previous foreign language learning experience and proven aptitude?

    239

    Local indebtedness is limited to 5% of the assessed value of the local property, but incorporated cities may by special vote increase this limit.

    240

    Logically they are apparently taxes upon the dead, as they limit the area of bequest, but they are felt by the living who receive the estate as if the burden of taxation fell on them.

    241

    London Bridge is to outward appearance the up-river limit of the port.

    242

    Lord Kelvin assumed as a superior limit of k, the ratio of amplitude to wave-length, the value io 2, which is a very safe limit.

    243

    Lord Rayleigh,' who has also investigated vibrating systems giving series of lines approaching a definite limit of " root," remarks that by dynamical reasoning we are always led to equations giving the square of the period and not the period, while in the equation representing spectral series the simplest results are obtained for the first power of the period.

    244

    Louth, Kildare and a part of Meath, and within this (1509- narrow limit the earls of Kildare were really more 1547).

    245

    Many trees of the eastern forest, such as basswood, sugar, river and red maple, red, white and black ash, red and rock elm, black and bur oak, white and red pine and red cedar find their western limit here.

    246

    Maybe she was stretching her behavior to the limit, like a slingshot—pulling it tight until it snapped back, with stinging pain.

    247

    Meanwhile, his great rival Coke, whose constant tendency to limit the prerogative by law and precedent had made him an object of particular dislike to James, had on two points come into open collision with the king's rights.

    248

    Meanwhile, the same considerations had not been applied to time, so that in the days of Zeno of Elea time was still regarded as made up of a finite number of ` moments,' while space was confessed to be divisible without limit.

    249

    Moreover, still further tq limit the power of the doge, the number of ducal councillors was raised from two to six.

    250

    Moreover, the limit of vertical depth at which rope of even the best quality will support its own weight only, with a proper margin of safety, is, say, io,000 to 12,000 ft.; and with the load the safe working limit of depth would be reached at 7000 to 8000 ft.

    251

    Most of the eastern part of England is " arable," while the western and northern part is " grass," the boundary between the sections being the western limit of Hampshire, Berkshire, Oxfordshire, Warwickshire, Leicestershire, Nottinghamshire, and of the East Riding of Yorkshire.

    252

    Nature must not be conceived as merely abstract limit to the infinite striving of spirit, as a mere series of necessary thoughts for mind.

    253

    Neither group is represented in Australasia; Celebes being the eastern limit of the Bovidae.

    254

    Nevertheless, from 1851 to 1855, Sedgwick, in his writings on the British palaeozoic deposits, insisted on the independence of the Cambrian system, and though Murchison had pushed his Silurian system downward in the series of rocks, Sedgwick adhered to the original grouping of his Cambrian system, and even proposed to limit the Silurian to the Ludlow and Wenlock beds with the May Hill Sandstone at the base.

    255

    Nevertheless, though overpowered in the end, the Khazars had protected the plains of Europe from the Mahommedans, and made the Caucasus the limit of their conquests.

    256

    Nickel steel, which usually contains from 3 to 3.50% of nickel and about 0.25% of carbon, combines very great tensile strength and hardness, and a very high limit of elasticity, with great ductility.

    257

    North of the Satpuras is,the rich valley of the Nerbudda, which may be said to begin towards the north of the Jubbulpore district and to extend westward through the district of Narsinghpur as far as the western limit of Hoshangabad, a distance of nearly 300 m.

    258

    Of 1500 species of herbaceous plants in the Red river basin, it is estimated that fully half reach here their geographical limit or limit of frequent occurrence.

    259

    Of course if you are over the speed limit you will get a full audible alert including voice warnings.

    260

    On the east the limit of the Uganda Protectorate in 1901 was the thalweg of Lake Rudolf and a line drawn from the south-eastern coast of that lake south along the edge of the Laikipia and Kikuyu escarpments to the frontier of German East Africa.

    261

    On the south the limit was undefined, but understood to be the margin of the desert, some distance north of the oasis of Augila (Aujila).

    262

    On this occasion some supplementary articles were added to the charter; these were intended to limit the taxing power of the crown.

    263

    On this point the provincial synods of Illiberis (Elvira) in 305 and of Ancyra in 315 subsequently came to conflicting decisions, the council of Elvira forbidding the reception of offenders into communion during life, and the council of Ancyra fixing a limit to the penalty in the same cases.

    264

    One is to put the patient on an almost complete vegetarian diet, so as to limit both the amount of uric acid introduced into the body as well as its formation in the body.

    265

    One result of this limit, marked out by Nature herself, is that the waters which flow down the northern slope of the Alps find their way either into the North Sea through the Rhine, or into the Black Sea by means of the Danube, not a drop reaching the Baltic Sea.

    266

    Or maybe I can learn to fight and go with him, if there's no time limit to the war.

    267

    Oscil., a copy being presented to me, in my letter of thanks to him I gave those rules in the end thereof a particular commendation for their usefulness in Philosophy, and added out of my aforesaid paper an instance of their usefulness, in comparing the forces of the moon from the earth, and earth from the sun; in determining a problem about the moon's phase, and putting a limit to the sun's parallax, which shews that I had then my eye upon comparing the forces of the planets arising from their circular motion, and understood it; so that a while after, when Mr Hooke propounded the problem solemnly, in the end of his attempt to prove the motion of the earth, if I had not known the duplicate proportion before, I could not but have found it now.

    268

    Outermost layer of root-cap. c. Wall marking the inner limit of the outer cortex.

    269

    Passing Santarem, the highest point to which the tide ascends, and the limit of navigation for large sailing vessels and steamers, the river divides below Salvaterra into two arms, called the Tejo Novo (the only one practicable for ships) and the Mar de Pedro.

    270

    Pearling Industry.-The pearling grounds of Bahrein are in over six fathoms of water, mostly beyond the three-mile limit.

    271

    People accustomed to think in that way forget, or do not know, the inevitable conditions which always limit the activities of any commander in chief.

    272

    Probably it is contemporaneous with either the turf wall or the stone wall, and marked some limit of the civil province of Britain.

    273

    Refusing to limit himself to political history, as did Ranke, he never learned to handle his literary sources with the care of the scientific historian.

    274

    Regarding the ultimate curve as derived from a given penultimate curve, we connect with the ultimate curve, and consider as belonging to it, certain points called " summits " cn the component curves P 1 = o, P2 =o respectively; a summit / is a point such that, drawing from an arbitrary point 0 the tangents to the penultimate curve, we have OE as the limit of one of these tangents.

    275

    Seeing clearly that his want of an efficient cavalry precluded all ideas of a resolute offensive in his old style, he determined to limit himself to a defence of the line of the Elbe, making only dashes of a few days' duration at any target the enemy might present.

    276

    Separate deliberation would enable the majority among the nobles and the superior clergy to limit reform.

    277

    Since the amounts of heat supplied at constant pressure from E to F and from E to C are in the limit proportional to the expansions EF and EC which they produce, the ratio S/s is equal to the ratio ECÆF.

    278

    Since the value of µ for water is about, it follows that n must be at least unity for a rainbow to be formed; there is obviously no theoretical limit to the value of n, and hence rainbows of higher orders are possible.

    279

    Sixtus set no limit to his plans; and what he achieved in his short pontificate is almost incredible; the completion of the dome of St Peter's; the loggia of Sixtus in the Lateran; the chapel of the Praesepe in Sta Maria Maggiore; additions.

    280

    Smyth and Lowe give the mouth of the Javary as the eastern limit, as does d'Orbigny.

    281

    Sociology and the science of culture are concerned with the origin and development of arts and sciences, opinions, beliefs, customs, laws and institutions generally among mankind within historic time; while beyond the historical limit the study is continued by inferences from relics of early ages and remote districts, to interpret which is the task of pre-historic archaeology and geology.

    282

    Some pairs of liquids are soluble in each other in all proportions, but, in general, when dealing with solutions of solids or gases in liquids, a definite limit is reached to the amount which will go into solution when the liquid is in contact with excess of the solid or gas.

    283

    Sometimes, but rarely, it happens that it is necessary to cut vertical grooves in the face to determine the limit of the fall, such limits being usually dependent upon the cleet or divisional planes in the coal, especially when the work is carried perpendicular to them or on the end.

    284

    South of the southern limit indicated, in the midland district of the great lakes, the oak (Quercus pedunculata) appears as well as pine and fir; and, as much of this area is under cultivation, many other trees have been introduced, as the ash, maple, elm and lime.

    285

    South of these mountains lies the northern limit of the Great Basin region.

    286

    Space compels us to limit our account of the scientific work done by Faraday in the succeeding twenty years, in elucidating electrical phenomena and adding to the knowledge thereon, to the very briefest mention.

    287

    Speaking loosely, we may say that there is a probability P/(P+p), amounting to certainty in the limit, that one of these systems, selected at random, will be in the normal state after a sufficient time has elapsed.

    288

    Still when this comes to be diluted with 60 to 75% of ordinary coal gas, containing as a rule only 4 to 6% of carbon monoxide, the percentage of poisonous monoxide in the mixture falls to below 16%, which experience has shown to be a fairly safe limit.

    289

    Strains exceeding the "limit of elasticity" result in permanent deformation or (if sufficiently great) in rupture.

    290

    Such an intermittently applied stress is far more destructive to iron than a continuous one, and even if it is only half that of the limit of elasticity, its indefinite repetition eventually causes rupture.

    291

    Such schools are for children up to the age of fourteen, and the limit of detention is sixteen.

    292

    Suffrage is extended to all Mexican citizens who possess honest means of livelihood, the age limit being 18 for the married and 21 for the unmarried.

    293

    Sunderland was especially interested in the proposed peerage bill, a measure designed to limit the number of members of the House of Lords, but this was defeated owing partly to the opposition of Sir Robert Walpole.

    294

    Suppose this limit is fixed at 16 tons per sq.

    295

    Taking this ideal limit as a theoretical or absolute zero, the value of H may be represented on the diagram by the whole area included between the two adiabatics BAZ, CDZ' down to the points where they intersect the isothermal of absolute zero, or the zero isopiestic OV asymptotically at infinity.

    296

    Technology has no limit we know of.

    297

    Temperature, then, is the fundamental limit which nature opposes to the indefinite extension of any one species.

    298

    That the number of atoms which can be associated in a ring by single affinities is limited there can be no doubt, but there is not yet sufficient evidence to show where the limit must be placed.

    299

    That would limit her options even more, making her vulnerable to coercion, finally pushing her into prostitution.

    300

    The 40 0 east may be taken as the western limit of Somali settlements.

    301

    The above expressions for the capacity of an ellipsoid of three unequal axes are in general elliptic integrals, but they can be evaluated for the reduced cases when the ellipsoid is one of revolution, and hence in the limit either takes the form of a long rod or of a circular disk.

    302

    The acquisition of Cyprus marks the extreme limit of Venetian expansion in the Levant; from this date onward there is little to record save the gradual loss of her maritime possessions.

    303

    The actual finiteness of A imposes a limit upon the separating or resolving power of an optical instrument.

    304

    The actual limit of the number that can be " seen " - i.e.

    305

    The age limit of a deputy is 25 years, and his income must be not less than $500.

    306

    The age limit of the electors was further lowered to 21, and that of eligibility was fixed at 25 years.

    307

    The altered polo-rule, which fixes the limit of height at 14 hands 2 in., may be productive of some little confusion; but for all other purposes 14 hands is the recognized maximum height of a pony.

    308

    The Apocalypse is plausibly dated by Reinach and Harnack near to the precise year 93, and the other writings may be referred to the reign of Domitian (81-96), though many critics would extend the limit to some two decades later.

    309

    The application interpreting an initial linkbase arc may choose to limit the number of steps processed in the chain.

    310

    The approach to the limit will therefore be by a series of jumps, each of which, however small, will be finite; i.e.

    311

    The Arctic or ArcticAlpine zone covers in the United States only the tops of a few mountains which extend above the limit of trees, such as Mt Katahdin in Maine, Mt Washington and neighboring peaks in the White Mountains of New Hampshire, and the loftier peaks of the Rocky, Cascade and Sierra Nevada Mountains.

    312

    The attempt to limit the freedom of theological inquiry and teaching in the universities is a violation of the vital principle of Protestantism.

    313

    The big deal is the speed limit is fifty.

    314

    The bleak and desolate heights of the Serra da Estrella and the ranges of the northern frontier are almost alpine in character, although they nowhere reach the limit of perpetual snow.

    315

    The Bresse is watered by the Veyle and the Reyssouze, both flowing into the Saone, which washes the western limit of the department.

    316

    The Cambridge University research, published in the journal Brain, suggests boosting the chemical acetylcholine may limit the effect of this damage.

    317

    The captions and headings in this Agreement are inserted only as a matter of convenience, and in no way define, limit or in any other way described the scope of this Agreement or the intent of any provision hereof.

    318

    The chief home of the Coniferales is in the northern hemisphere, where certain species occasionally extend into the Arctic circle and penetrate beyond the northern limit of dicotyledon ous trees.

    319

    The combination of ductility, which lessens the tendency to break when overstrained or distorted, with a very high limit of elasticity, gives it great value for shafting, the merit of which is measured by its endurance of the repeated stresses to which its rotation exposes it whenever its alignment is not mathematically straight.

    320

    The commentary on the gospel of Matthew by Hrabanus Maurus was finished about 821, which is therefore the superior limit of date for the composition of the Heliand.

    321

    The constitution fixes the debt limit at $100,000 over and above the share of the territorial debt assumed at the time of the formation of the state.

    322

    The constitutional limit on the state tax levy is 31 mills on a dollar, and legislation has fixed the limit of the county levy at 5 mills, of the levy in cities at 7, in incorporated towns at 5, in townships at 3, and in school districts at 5.

    323

    The continuation of the valley west of I-Ioshangabad forms the northern portion of the district of Nimar, the farther limit of which touches the Khandesh district of the Bombay presidency.

    324

    The Crathis, which forms at its mouth the southern limit of the province, belongs almost wholly to the territory of the Bruttii, but it receives a tributary, the Sybaris (Coscile), from the mountains of Lucania.

    325

    The debtor claims the exemption where the levy is made, but if the sheriff deems the homestead greater in value than the law allows, he may choose three disinterested persons to appraise it and sell any portion that may be adjudged in excess of the legal limit.

    326

    The default behavior is to not limit the size of the file.

    327

    The degree of instability, as measured by q, is not to be determined from statical considerations only; otherwise there would be no limit to the increasing efficiency of the longer wavelengths.

    328

    The determination to limit still further the power of the executive was at the bottom of this fatal parsimony, with the inevitable consequence that, while the king and the senate were powerless, every great noble or lord-marcher was free to do what he chose in his own domains, so long as he flattered his "little brothers," the szlachta.

    329

    The document concludes that a large number of food products exceeded the government maximum permitted limit of histamine, a biogenic amine, a biogenic amine.

    330

    The easternmost limit of prehistoric Mayan civilization, on the Pacific coast of Central America, is Fonseca Bay, with the island of Zacate Grande.

    331

    The ego and non-ego limit one another, or determine one another; and, as limitation is negation of part of a divisible quantum, in this third act, the divisible ego is op-posed to a divisible non-ego.

    332

    The empirical individualism of the work, tending necessarily to limit the province of reason and extend that of faith, together with scattered utterances on special points, which gained for Biel the title of Papista Antipapista, had considerable influence in giving form to the doctrines of Luther and Melanchthon.

    333

    The euthyneurous visceral loop is long, and presents only one ganglion (in Aplysia camelus, but two distinct ganglia joined to one another in Aplysia hybrida of the English coast), placed at its extreme limit, representing both the right and left visceral ganglia and the third or abdominal ganglion, which are so often separately present.

    334

    The Exedra of Herodes Atticus stood at the north limit of the Altis, close to the north-east angle of the Heraeum, and immediately west of the westernmost treasure-house (that of Sicyon).

    335

    The expenses of a parish council may not, without the consent of a parish meeting, exceed the amount of a rate of threepence in the for the financial year; but with the consent of the parish meeting the limit may be increased to sixpence, exclusive of expenses under the adoptive acts.

    336

    The expression 27ra for the length of the circumference can be deduced by considering the limit of the area cut off from a circle of radius a by a concentric circle of radius a - a, when a becomes indefinitely small; this is an elementary case of differentiation.

    337

    The extreme value possible for a is a right angle, so that for the microscopic limit we have Z X o/µ (2).

    338

    The formation of bands thus requires that the retarding plate be held upon the side already specified, so that zs be positive; and that the thickness of the plate (to which z is proportional) do not exceed a certain limit, which we may call 2T 0.

    339

    The government of the French Republic, for their part, declare that they will not obstruct the action of Great Britain in that country by asking that a limit of time be fix.d for the British occupation, er in any other manner.

    340

    The grant finally came into the possession of Thomas, Lord Fairfax, and in 1746 a stone was erected at the source of the north branch of the Potomac to mark the western limit of the grant.

    341

    The Hindu Kush, formidable as it seems, and often as it has been the limit between petty states, has hardly ever been the boundary of a considerable power.

    342

    The importance of Gondokoro lies in the fact that it is within a few miles of the limit of navigability of the Nile from Khartum up stream.

    343

    The importance of the general conclusions above formulated, as imposing a limit upon our powers of direct observation, can hardly be overestimated; but there has been in some quarters a tendency to ascribe to it a more precise character than it can bear, or even to mistake its meaning altogether.

    344

    The income tax, a direct charge upon all incomes above a certain limit, is the principal type in the United Kingdom of a direct tax.

    345

    The instrument therefore does not begin to read from zero current, but from some higher limit which, generally speaking, is about one-tenth of the maximum, so that an ammeter reading up to io amperes will not give much visible indication below i ampere.

    346

    The introduction of workmens insurance, factory legislation, and other measures dealing with the condition of the working classes by imperial legislation, was at a later period still further to limit the scope of state legislation.

    347

    The king secured the raising of the age limit to fifteen.

    348

    The Lacertidae or true lizards comprise about 20 genera, with some 1 00 species, most abundant in Africa; their northern limit coincides.

    349

    The last words were an attempt to limit further appeal to Rome.

    350

    The law places no limit on the amount that these committees may spend.

    351

    The limit can be depressed only by a diminution in Xo, such as photography makes possible, or by an increase in /2, the refractive index of the medium in which the object is situated.

    352

    The limit for most adults, under favourable conditions, is about four.

    353

    The limit in height of the olive is about 2700 ft., and that of the vine about 3500 ft.

    354

    The limit of concessions to the Boers had been reached, and Sir Charles Warren's force-4000 strong - had reached the Vaal river in January 1885.

    355

    The limit of each years increment of secondary wood, in those plants whose yearly activity is interrupted by a regular winter or dry season, is marked by a more or less distinct line, which is produced by the sharp contrast between the wood formed in the late summer of one year (characterized by the sparseness or small diameter of the tracheal elements, or by the preponderance of fibres, or by a combination of these characters, giving a denseness to the wood) and the loose spring wood of the next year, with its absence of fibres, or its numerous large tracheae.

    356

    The limit of error of each being = o05, the limit of error of their sum or difference is = oi.

    357

    The limit of size was reached in an immense clipper of 4555 tons, and the greatest speed was attained in a passage from San Francisco to Boston in seventy-five days, and from San Francisco to Cork in ninety-three days.

    358

    The limit of the territory which still remained loyal was ever shrinking, and what was once lost was hardly ever regained.

    359

    The logarithmic formulae for these concentration cells indicate that theoretically their electromotive force can be increased to any extent by diminishing without limit the concentration of the more dilute solution, log c i /c 2 then becoming very great.

    360

    The lower limit is therefore a truer division line to-day.

    361

    The lower limit of the resolving power of the eye is reached when the distance is approximately 3438 times the size of the object.

    362

    The lower limit of the Roman age of classical studies may be conveniently placed in the year 529.

    363

    The Magra (Macra), in ancient times the boundary between Liguria and Etruria, may be considered as constituting on this side the limit of Northern Italy.

    364

    The mammals of Syria are rather sharply to be distinguished into those which range only north of Mt Carmel, and those which pass that limit.

    365

    The mind can act only upon itself; beyond that limit, the power of God must intervene to make any seeming interaction possible between body and soul.

    366

    The most complete hydrogen spectrum is that measured by Evershed 8 in the flash spectrum observed during a total solar eclipse, and contains thirty-one lines, all of which agree with considerable accuracy with the formula, if the frequency number n is calculated correctly by reducing the wave-length to vacuo.9 It is a characteristic of Balmer's formula that the frequency approaches a definite limit as s is increased, and it was soon discovered that in several other spectra besides hydrogen, series of lines could be found, which gradually come nearer and nearer to each other as they become fainter, and approach a definite limit.

    367

    The most northerly limit of the penguins' range in the Atlantic is Tristan d'Acunha, and in the Indian Ocean Amsterdam Island, but they also occur off the Cape of Good Hope and along the coast of Australia, as well as on the south and east of New Zealand, while in the Pacific one species at least extends along the west coast of South America and to the Galapagos; but north of the equator none are found.

    368

    The name of Staines appears in the Domesday Survey, and it has been supposed that the town is so called from a stone which marks the limit of the former jurisdiction of the City of London over the lower Thames.

    369

    The nobility attempted to escape taxation as cheaply as possible by stipulating that the 6th of November 1632, the day of Gustavus Adolphus's death, should be the extreme limit of any restrospective action on the part of the crown in regard to alienated crown property, and that the present subsidy should be regarded as " a perpetual ordinance " unalterably to be observed by all future sovereigns - in other words, that there should be no further restitution of alienated crown property.

    370

    The northern limit is the Tauric system of mountains, and the southern limit the edge of the Sinaitic desert.

    371

    The northern limit of the glacial beds is in dispute; they have been described as far north as Ashford.

    372

    The northern sides and tops of the lower heights are often covered with dense forests of oak, cork, pine, cedar and other trees, with walnuts up to the limit of irrigation.

    373

    The object is then projected with such acute pencils on the plane focused for, in this case on the plane on which the eye can just accommodate itself, that the circle of confusion arising there is still so small that it is below the limit of angular visual distinctness and on that account appears as a sharp point.

    374

    The occurrence of favourable meteorological conditions during several successive seasons may and does increase the extent of the snow-fields, and lower the limit of seemingly permanent snow; while an opposite state of things may cause the limit to rise higher on the flanks of the mountains.

    375

    The only sources of light are sunlight or the electric arc. The limit at which sub-microscopic particles are made visible is dependent upon the specific intensity of the source of light.

    376

    The organic derivatives of silicon resemble the corresponding carbon compounds except in so far that the silicon atom is not capable of combining with itself to form a complex chain in the same manner as the carbon atom, the limit at present being a chain of three silicon atoms. Many of the earlier-known silicon alkyl compounds were isolated by Friedel and Crafts and by Ladenburg, the method adopted consisting in the interaction of the zinc alkyl compounds with silicon halides or esters of silicic acids.

    377

    The original intention was to push the experiments to a pressure equivalent to thirty atmospheres, but owing to the signs of failure exhibited by the boiler the limit actually reached was twenty-four atmospheres, at which pressure the thermometers indicated a temperature of about 224 0 C. In his last paper, published posthumously in 1838, Dulong gave an account of experiments made to determine the heat disengaged in the combination of various simple and compound bodies, together with a description of the calorimeter he employed.

    378

    The Oxus figures in Persian romantic history as the limit between Iran and Turan, but the substratum of settled population to the north as well as the south was probably of Iranian lineage.

    379

    The Peerage Bill, introduced at the same time to limit the royal power of creating peers, was happily thrown out in the Commons.

    380

    The philosophy of Plato is dialogue trying to become science; that of Aristotle science retaining traces of dialectic. Secondly as regards subjectmatter, even in his early writings Aristotle tends to widen the scope of philosophic inquiry, so as not only to embrace metaphysics and politics, but also to encourage rhetoric and poetics, which Plato tended to discourage or limit.

    381

    The phone bill, thanks to Fred's vigorous activities, was only a few commas less than the national debt and he was knocking on the ceiling of his newly acquired Visa limit.

    382

    The phrase "ultimaThule" is commonly used to describe the farthest limit possible.

    383

    The plan devised by the London Convention of fixing a limit to administrative expenditure was abolished.

    384

    The poplars are almost entirely confined to the north temperate zone, but a few approach or even pass its northern limit, and they are widely distributed within that area; they show, like the willows, a partiality for moist ground and often line the river-sides in otherwise treeless districts.

    385

    The possibility of hoisting and pumping from great depths has been discussed, and it remains now to consider the other conditions which will tend to limit mining operations in depth - namely, increase of temperature and increase of rock pressure.

    386

    The practical limit of height was reached when the sectional area of the masonry of the piers of the exterior walls in the lower storey had to be made so great, in order to support safely the weight of the dead load of the walls and floors and the accidental load imposed upon the latter in use, as to affect seriously the value of the lower storeys on account of the loss of light and floor space.

    387

    The present writer, therefore, in his Theory of Optics, adopted different names, and called the series respectively the " Trunk," the " Main Branch " and the " Side Branch," the main branch being identical with the second subordinate series; the limit of frequency for high values of s is called the " root " of the series, and it is found in all cases that the two branches have a common root at some point in the trunk.

    388

    The prickly ash, Virginian creeper and staff-tree find here their northern limit; and the mountain maple, Canada blueberry, dwarf birch and ground hemlock their southern limit.

    389

    The probable geological connexion with New Guinea would account for the Papuan character of the fauna of the Solomons, which form the eastern limit of certain Papuan types.

    390

    The prophylaxis is important in order to limit the spread of the parasites.

    391

    The provinces are governed by a governor nominated by the king, the canton is a judicial division for marking the limit of the jurisdiction of each juge de paix, and the commune is the administrative unit, possessing self-government in all local matters.

    392

    The Pruth rises on the northern limit of Moldavia, forms the eastern frontier for 330 m., and falls into the Danube io m.

    393

    The range of Amanus (Giaour Dagh) is separated from the mass of Taurus by the deep gorge of the Jihun, whence it runs south - south - west to Ras el - Khanzir, forming the limit between Cilicia and Syria, various parts bearing different names, as Elma Dagh above Alexandretta.

    394

    The Right who wanted to revive, as they said, the ancient constitution, in other words, to limit the king's power by periodic States-General of the old-fashioned sort, were more numerous and had able chiefs in Cazales and Maury, but strove in vain against the spirit of the time.

    395

    The river Don flows through the eastern part of the city, and the river Humber forms its western limit.

    396

    The river Durance passes through the western part of this department, receiving (left), as affluents, the Ubaye, the Bleone and the Asse (the entire course of each of these rivers is included within the department) as well as the Verdon, the upper course of which is within the department, while the lower course forms its southern limit.

    397

    The river Kulpa, which bisects the county of Agram, is usually regarded as the north-western limit of the Balkan Peninsula; and thus the greater part of Croatia, lying south of this river, falls within the peninsular boundary, while the remainder, with all Slavonia, belongs to the continental mainland.

    398

    The rules are very complicated, and considerably limit the power of debate.

    399

    The same species can thus endure a great difference of temperature; but the important fact is, that the individuals have become acclimatized to the altitude at which they grow, so that seeds gathered near the upper limit of the range of a species will be more hardy than those gathered near the lower limit.

    400

    The simple microscope enlarges the angle of vision, and does not tire the eye when it is arranged so that the image lies in the farthest limit of distinct vision (the punctum remotum).

    401

    The single exception is provided by the slowly-maturing Highland breed of cattle, for which classes were allotted to (I) steers not exceeding three years old, (2) steers or oxen above three years old (with no maximum limit), and (3) heifers not exceeding four years old.

    402

    The Solomon Islands are, in the Pacific, the eastern limit of the use of the shield.

    403

    The sound travelled to and fro in the pipes several times before the signals died away, and he found that the velocity decreased with the intensity, tending to a limit for very feeble sounds, the limit being the same whatever the source.

    404

    The South American bamboo (Bambusa guadia) has a very wide range, and is found nearly up to the limit of perpetual snow.

    405

    The southern limit of these glacial deposits is practically the bluffs bordering the Missouri river, except for a narrow strip along the Mississippi below St Louis.

    406

    The subject matter of astronomical science, considered in its widest range, comprehends all the matter of the universe which lies outside the limit of the earth's atmosphere.

    407

    The subsequent attempts of the dominant Caps still further to limit the prerogative, and reduce Gustavus to the condition of a roi fainéant, induced him at last to consider the possibility of a revolution.

    408

    The successive terms of the sequence in that case were formed by successive additions of terms of a series; the series is then also said to converge to the limit which is the limit of the sequence.

    409

    The systems of guarantee above described are clearly faulty, since theoretically the railway company which ran no trains at all would, up to the limit of its guarantee, make the largest profits.

    410

    The thermochemical properties of the constituents of an explosive will assign an upper limit to the volume, temperature and pressure of the gas produced by the combustion; but much experiment is required in addition.

    411

    The total impulse in any finite interval of time is the integral of the impulses corresponding to the infinitesimal elements 3t into which the interval may be subdivided; the summation of which the integral is the limit is of course to be understood in the vectorial sense.

    412

    The Tower was situated at the eastern limit of the city, and not far from the western extremity Castle Baynard was built.

    413

    The town walls, which can still be traced and indeed are partly standing, had a circuit of not more than 2 m., and the main street was less than half a mile in length; but remains of buildings on the road for fully a mile beyond the south gate, show that the town had outgrown the limit of its fortifications.

    414

    The Transition zone, in which the extreme southern limit of several boreal species overlaps the extreme northern.

    415

    The trees of the genus are closely allied in botanic features, as well as in general appearance, so that it is sometimes difficult to assign to them determinate specific characters, and the limit between species and variety is not always very accurately defined.

    416

    The troops arrived late at their appointed positions, and after a stubborn rearguard action at Pultusk itself and undecisive fighting elsewhere (Soldau-Golymin) the Russians succeeded in retreating beyond the jaws of the French attack, and Napoleon for the first time found that he had exceeded the limit of endurance of his men.

    417

    The upper limit of arborescent vegetation is considered to run at 7000-7500 ft., of shrubs such as rhododendrons at 850o ft., and of pasture-lands up to 9000 ft.

    418

    The upper limit of this region coincides with the so-called limit of perpetual snow.

    419

    The usage of the term "Lake District," however, tends to limit the name of Furness in common thought to the district south of the Lakes, where several of the place-names are suffixed with that of the district, as Barrow-inFurness, Dalton-in-Furness, Broughton-in-Furness.

    420

    The wall of Hadrian remained for nearly two hundred years more the northern limit of Roman power in the extreme west.

    421

    The weight of main girders increases with the span, and there is for any type of bridge a limiting span beyond which the dead load stresses exceed the assigned limit of working stress.

    422

    The western limit of the former nave of the church is marked by a fine Early English doorway, now forming an entrance to the churchyard.

    423

    The western limit was probably found in the edge of the old continental land in Donegal.

    424

    The western timber limit is on Kodiak Island.

    425

    Then all the parties which resented the limit upon freedom of election combined to rise in Paris.

    426

    Theoretically, no limit can be assigned to the number of possible algebras; the varieties actually known use, for the most part, the same signs of operation, and differ among themselves principally by their rules of multiplication.

    427

    There appears to be no definite limit to the value to which the induction B may be raised, but the magnetization I attains a true saturation value under magnetizing forces which are in most cases comparatively moderate.

    428

    There are few boundaries to smart home automation - the only limit is your imagination.

    429

    There are some districts in central Chile where cattle-raising is the principal occupation, but the long dry summers limit the pasturage on the open plains and prevent the development which perhaps would otherwise result.

    430

    There have been great complaints also of injustice by the possessors of temporary and precarious incomes, who have to pay the same rate of tax as the owners of permanent incomes from property, although these complaints have been diminished to some small extent by the raising of the minimum limit of the income assessed and the increase of the principle of abatements.

    431

    There is a certain limit of time in less than which no amount of heat can melt the snow.

    432

    There is a superior limit to the quantity of energy which can be derived from contraction.

    433

    There is clearly no theoretical limit to the resolving power of gratings, even in spectra of given order.

    434

    There is scarcely any limit to the ingenuity and skill of the Japanese expert in diapering a metal surface.

    435

    There seems to be sufficient reason, however, to maintain each of these groups as a separate system and limit the term Carboniferous (carboniferien) in the manner indicated above.

    436

    There was a limit to his patience, and she had crossed it.

    437

    These do not reach exactly to the same elevation, nor are they often found growing together; but their upper limit corresponds accurately enough to the change from a temperate to a colder climate that is further proved by a change in the wild herbaceous vegetation.

    438

    These limit the admissible values of a-, which are in general determined by a transcendental equation corresponding to the determinantal equation (6).

    439

    These precedents (in which it will be seen that "good offices" and "mediation" are used interchangeably) were followed in the general act agreed to at the Conference held at Berlin in1884-1885the object of which was to secure religious and commercial liberty and to limit warlike operations in the Congo basin.

    440

    These, it is said, can be distributed among different classes of tax-payers, because the income tax falls on the owners of incomes of all kinds of property subject to the duty, if their incomes are above a certain limit, while the incidence of customs and excise duties can be ascertained by inquiries as to the consumption of dutiable articles by different classes.

    441

    They also claimed an interest in the fur seals, involving the right to protect them outside the three-mile limit.

    442

    They also tried to limit the scope of privileges.

    443

    This appears to be about the northern limit reached by the south-west monsoon, which from June to September brings a fairly abundant rainfall to the Yemen highlands, though the Tehama remains almost entirely rainless.

    444

    This arrangement has been provided at several weirs on the Thames, to afford control of the flood discharge, and reduce the extent of the inundations; the largest of these composite weirs on that river is at the tidal limit at Teddington, where the two central bays, with a total length of 2421 ft., are closed by thirty-five draw-doors sliding between iron frames supporting a foot-bridge, from which the doors are raised by a winch.'

    445

    This condition manifests itself, for example, in mine pillars which are subjected to a weight beyond the limit of elasticity of the mineral of which they are composed.

    446

    This date, then, is a likely lower limit for Hermas's revision of his earlier prophetic memoranda, and their publication in a single homogeneous work, such as the Shepherd appears to be.

    447

    This identification has been confirmed by the discovery of a series of boundary inscriptions, apparently marking the limit of the city's lands, which have been found cut in rock - outcrops partly surrounding the site.

    448

    This is of course preferable, but is only applicable where the owner of the mine can afford to expend the capital required to reach the limit of the field in excess of that necessary when the raising of coal proceeds pari passu with the extension of the main roads.

    449

    This lateral course is due to the more vigorous growth of the axillary branch formed near the base of each flower, which is a terminal structure, and, except in the female flower of Cycas, puts a limit to the apical growth of the stem.

    450

    This limit depends on the nature of the two components, on the temperature and on the pressure.

    451

    This limit usually lies about 4000 ft.

    452

    This limit was found to be about ten storeys.

    453

    This line defines the eastern limit of the Coal Measures proper, which cover a belt 20 to 80 m.

    454

    This makes the Euphrates the main eastern limit, with radii to the north-east angle of the Levant and the south-east angle of the Black Sea, and roughly agrees with the popular conception of Asia Minor as a geographical region.

    455

    This reasoning does not appear conclusive, and if it be set aside, the limit of date for the beginning of the work is carried back to A.D.

    456

    This redactor, however, did not limit the Horeb covenant to the Decalogue, but retained E's legislation alongside of it.

    457

    This theory was supported by the French physician Jean Ray, who showed also that in the cases of tin and lead there was a limit to the increase in weight.

    458

    This was the state of opinion when the celebrated arguments against the possibility of motion, of which that of Achilles and the tortoise is a specimen, were propounded by Zeno, and such, apparently, continued to be the state of opinion till Aristotle pointed out that time is divisible without limit, in precisely the same sense that space is.

    459

    This, however, was the limit of their expansion.

    460

    This, mixed with the poor coal gas, brings up its illuminating value to the required limit.

    461

    Those of the earliest period, the lower limit of which is put about 150o B.C., are aeneolithic, metal being, however, rare and only found in the form of small ornaments; pottery with linear decoration is abundant.

    462

    Three species of rhododendron vie with each other in the brilliancy of their masses of red or pink flowers; the common juniper rises higher still, along with three species of bilberry; and several dwarf willows attain nearly to the utmost limit of vegetation.

    463

    Throughout the operation of increasing the focal length, the resolving power of the instrument, which depends only upon the aperture, remains unchanged; and we thus arrive at the rather startling conclusion that a telescope of any degree of resolving power might be constructed without an object-glass, if only there were no limit to the admissible focal length.

    464

    Throughout the Teutonic region of the Alps the word Alp is used specifically for the upper pastures where cattle are fed in summer, but this region is held to include the whole space between the uppermost limit of trees and the first Alpine p pp appearance of permanent masses of snow.

    465

    Thus defined, idealism is opposed to ordinary common-sense dualism, which regards knowledge or experience as the result of the more or less accidental relation between two separate and independent entities - the mind and its ideas on one side, the thing with its attributes on the other - that serve to limit and condition each other from without.

    466

    Thus it is explained in the preface to the budget that the revenues " proceeding from the deposed sultan " are not classed together under one heading, but that they have been apportioned to the various sections under which they should fall " whether taxes on house property or property not built upon, tithes, aghnam, forests, mines, cadastre, sport, military equipment, private domains of the state, various receipts, proceeds of sales, rents " - a truly comprehensive list which by no means set a limit to the private resources of Abd-ul-Hamid II., who looked upon the customs also as a convenient reserve on which he could, and did, draw when his privy purse was short of money.

    467

    Thus led to confront the questions of necessity and free will, his own views became unsettled, and the further he pursued his inquiries the more he was inclined to assert the freedom of man and limit the range of the unconditional decrees of God.

    468

    Thus the class of rational numbers whose squares are less than 2 has no upper limit among the rational numbers.

    469

    Tile limit of profitable cultivation has almost been reached.

    470

    Timor lies in deep water a little to the west of the hundred fathom line, which marks in this direction the proper limit of the shallow Arafura Sea, extending between it and northern Australia.

    471

    To the west the upper limit of forest is somewhat lower, from 11,500 to 12,000 ft.

    472

    Toward corporations the policy of New Jersey has always been liberal; there is no limit fixed either to capitalization or to bonded indebtedness; the tax rate, as already indicated, is lower for large than for small corporations; and so many large combinations of capital have been incorporated under the laws of the state that it is sometimes called " ` the home of the trusts."

    473

    Towards the north-east, the point where the Julian Alps approach close to the seashore (just at the sources of the little stream known in ancient times as the Timavus) would seem to constitute the best natural limit.

    474

    Tree vegetation, which reaches up as high as 6500 and 8150 ft., the latter limit on the north and west, consists of magnificent forests of birch, poplar, aspen, and Coniferae, such as Pinus cembra, Abies sibirica, Larix sibirica, Picea obovata, and so on, though the fir is not found above 2500 ft., while the meadows are abundantly clothed with brightlycoloured, typical assortments of herbaceous plants.

    475

    Twenty-two was the extreme limit of the naval force the States were able to commission.

    476

    Under an act of the 12th of April 1883, as amended on the 4th of April 1902, education is compulsory for children between the ages of seven and fifteen, but the maximum limit is reduced to thirteen for children who are employed at lawful labour.

    477

    Under increasing magnetizing forces, greatly exceeding those comprised within the limits of the diagram, the magAetization does practically reach a limit, the maximum value being attained with a magnetizing force of less than 2000 for wrought iron and nickel, and less than 4000 for cast iron and cobalt.

    478

    Under the revised constitution of 1908 the former classification of cities into four classes and the practice of granting special charters were abolished, and the legislature is required to provide by general laws for the incorporation of cities and villages; "such general laws shall limit their rate of taxation for municipal purposes and restrict their powers of borrowing money and contracting debts."

    479

    Under the Territorial government when first organized the governor was given an extensive appointing power, as well as the right of an absolute veto on all legislation, but this speedily resulted in such friction between him and the legislature that Congress was petitioned for his removal, with the outcome that the office has since been much restricted in its appointing power, and the veto has been subjected to the ordinary United States limit, i.e.

    480

    Warming admits there is no sharp limit between nI

    481

    We agreed to limit our test to one phone call.

    482

    We can trace the advance of the Roman supremacy with greater ease after 387 B.C., inasmuch as from this year (adopting the traditional dating for what it is worth) until 2 99 B.C. every accession of territory is marked by the foundation of a group of new tribes; the limit of 35 in all was reached in the latter year.

    483

    We have first the Doppler effect, which, according to Michelson's experiment, is the chief cause of the limit at very low pressures, but it is too small to account for the widening which is now under discussion.

    484

    We have to limit the strain we place him under or he'll break.

    485

    We may usually suppose that a large number of the outer rings are incomplete, so that the integrated term at the upper limit may properly be taken to vanish.

    486

    We must limit ourselves in this article to indicating the chief features of the phenomenon in the more important cases.

    487

    What characterizes a tadpole is the conjoined globular head and body, so formed that it is practically impossible to discern the limit between the two, sharply set off from the more or less elongate compressed tail which is the organ of propulsion.

    488

    When Dean didn't answer, she continued, professionally, but with a hint of sarcasm, sing-songing a rehearsed litany—present your driver's license and registration and something about exceeding a fifty-mile-an-hour speed limit.

    489

    When the conjugate axis of the hyperbola increases without limit, the loops of the nodoid are crowded on one another, and each becomes more nearly a ring of circular section, without, however, ever reaching this form.

    490

    When the limit is reached the solution is said to be saturated, and the system is in equilibrium.

    491

    When the limit of extensibility is reached the cell wall increases in thickness from the continuation of the latter of the two processes.

    492

    When there is a single protoxylem strand in the centre of the stele, or when, as is more commonly the case, there are several protoxylem strands situated at the internal limit of the xylem,, the centre of the stem being occupied by parenchyma, the stele is endarch.

    493

    While she'd never admit to concern for his wishes, Ethel seemed to limit her smoking around Dean, but never abstinence from the mandatory one "after."

    494

    While the risk of loss of capital is not to be avoided, it is of the utmost importance to limit the amount of money expended while the extent and value of the deposit are still uncertain and to do the necessary work by the cheapest methods consistent with thoroughness.

    495

    Wholly novel and distinctive it is not, for the rulers of Catholic countries, like Spain and France, and of England (before the publication of the Act of Supremacy) could and did limit the pope's claims to unlimited jurisdiction, patronage and taxation, and they introduced the placet forbidding the publication within their realms_ of papal edicts, decisions and orders, without the express sanction of the government - in short, in many ways tended to approach the conditions in Protestant lands.

    496

    With the 13th century Hebrew literature may be said to have reached the limit of its development.

    497

    With the increased activity of working characteristic of modern coal mining, the depth of the mines has rapidly increased, and at the present time the level of 4000 ft., formerly assumed as the possible limit for working, has been nearly attained.

    498

    With the individual, as with the race, the limit of the number that can be seen gradually increases up to four or five.

    499

    Without attempting to answer this question categorically, it may be pointed out that within the limits of the family (Ptychoderidae) which is especially characterized by their presence there are some species in Y art dY YY cts, posterior limit of collar.

    500

    Yes Carmen, let's limit it to his face.