Reduced in A Sentence

    1

    A by no means unwarrantable fear of the king of Prussia, who was "to be reduced within proper limits," so that "he might be no longer a danger to the empire," induced Elizabeth to accede to the treaty of Versailles, in other words the Franco-Austrian league against Prussia, and on the 17th of May 1757 the Russian army, 85,000 strong, advanced against Konigsberg.

    2

    A controlling valve enables the supply of steam to the low-pressure cylinders to be supplemented by boiler steam at a reduced pressure.

    3

    A few Euthyneura in which the shell is not much reduced retain an operculum in the adult state, e.g.

    4

    A few months later the Lesghians in Daghestan, who had risen in revolt, were defeated and their country once more reduced to obedience.

    5

    A few years later (704 B.C.) the combined forces of Elam and Babylonia were overthrown at Kis, and in the following year the Kassites were reduced to subjection.

    6

    A fourth humiliating episode in this period was the invasion of the Magyar barbarians, who overran the north of Italy, and reduced its fairest provinces to the condition of a wilderness.

    7

    A furnace is served by three men, working in eight-hour shifts, and requires about 2 tons of coal, which corresponds to about 110 gallons reduced oil, air being used as atomizer.

    8

    A large increase in imports, caused by fictitious prosperity and inability to obtain drafts against guano shipments, led to the exportation of coin to meet commercial obligations, and this soon reduced the currency circulation to a paper basis.

    9

    A motion presented by the Socialists in the Chamber for the immediate discussion of a bill to prevent the massacres of the proletariate having been rejected by an enormous majority, the 28 Socialist deputies resigned their seats; on presenting themselves for re-election their number was reduced to 25.

    10

    A prae-genital somite is often present either in a reduced condition forming a waist (Pedipalpi, Araneae, Palpigradi) or as a full-sized tergal plate (Pseudoscorpiones); in some it is entirely atrophied (Solifugae, Holosomata, and Rhynchostomi).

    11

    A succession of Ninevite armies raided north Syria and even south-east Asia Minor, and gradually reduced the Hatti.

    12

    A, Branch bearing (a) young female cones, (b) ripe cones, reduced.

    13

    A, branch bearing male cones, reduced; B, single male cone, enlarged; C, single stamen, enlarged.

    14

    About that time a thorough reform of the machinery in use was effected whereby the number of hands employed was reduced, but the yearly production doubled or trebled.

    15

    According to the law of Avogadro, equal volumes of different gases under the same conditions of temperature and pressure contain equal numbers of molecules; therefore, since the density depends upon the number of molecules present in unit volume, it follows that for a comparison of the densities of gases, the determinations must be made under coincident conditions, or the observations reduced or re-computed for coincident conditions.

    16

    Accordingly, if these general characteristics do not possess reality, things are reduced to a number of characterless and mutually indifferent points.

    17

    After having previously roasted the tube and copper oxide, and reduced the copper spiral a, the weighed calcium chloride tube and potash bulbs are put in position, the boat containing the substance is inserted (in the case of a difficultly combustible substance it is desirable to mix it with cupric oxide or lead chromate), the copper spiral (d) replaced, and the air and oxygen supply connected up. The apparatus is then tested for leaks.

    18

    After the battle of Mycale (479 B.C.), Lampsacus joined the Athenians, but, having revolted from them in 411, was reduced by force.

    19

    Against the often iterated accusation of immorality, it should be remembered that the Letters reflected the morality of the age, and that their author only systematized and reduced to writing the principles of conduct by which, deliberately or unconsciously, the best and the worst of his contemporaries were governed.

    20

    All other metals, including palladium, are dissolved as nitrates, the oxidizing part of the reagent being generally reduced to oxides of nitrogen.

    21

    Alompra afterwards reduced the town and district of Tavoy, and finally undertook the conquest of the Siamese.

    22

    Although modern mercurial pumps have assumed a multiplicity of forms, their actions can be reduced to two principles, one statical, the other hydrodynamical - at the same time instruments have been devised utilizing both these principles.

    23

    Alumina and lime, for example, which cannot be reduced at ordinary furnace temperatures, readily give up their oxygen to carbon in the electric furnace, and then combine with an excess of carbon to form metallic carbides.

    24

    America undoubtedly are susceptible of considerable improvement, and certainly waste can be reduced to a minimum.

    25

    Among geographers should be mentioned Posidonius (13-551), the head of the Stoic school of Rhodes, who is stated to be responsible for having reduced the length of a degree to 500 stadia; Artemidorus of Ephesus, whose " Geographumena " (c. Ioo B.C.) are based upon his own travels and a study of itineraries, and above all, Strabo, who has already been referred to.

    26

    Among other ingenious applications, he used it to determine the form of movement of a vibrating string, by him first successfully reduced to mechanical principles.

    27

    An attempt is made to get rid of the distinctive nature of miracle when the exceptionalness of the events so regarded is reduced to a new subjective mode of regarding natural phenomena.

    28

    An embargo on trade with Flanders, voted in 1358 by a general assembly, resulted by 1360 in the full restoration of German privileges in Flanders, but reduced the counter at Bruges to an executive organ of a united town policy.

    29

    An experiment by Ewing showed that by the operation of stretching an annealed iron wire beyond the limits of elasticity the permeability under a magnetizing force of about 3 units was reduced by as much as 75%.

    30

    Analysis showed that all the required sounds could be conveyed with 47 syllables, and having selected the ideographs that corresponded .to those sounds, they reduced them, first, to forms called hiragana, and, secondly, to still more simplified forms called katakana.

    31

    And further, since the Exalted One was born in it, he reduced taxation in the village of Lumbini, and established the dues at one-eighth part (of the crop)."

    32

    And lastly, by the Papirian law (89 B.C.) it was further reduced to the diminutive weight of half an ounce.

    33

    Andbabylonia Assyria Sennacherib's figure in the Bavian inscription; this he reduced by a hundred years,' instead of increasing it by sixty as Rost had suggested.

    34

    Anterior limbs extremely reduced.

    35

    Anterior tentacles much reduced; male and female apertures contiguous but distinct; shell thin,.

    36

    Anton von Schiefner, Zagursky, and others have greatly reduced this number; but even then there are not less than fifty represented.

    37

    Antonius took refuge there, and was reduced by Octavian after a long siege.

    38

    As a preliminary to the melting process, the "browse" left in the preceding operation (half-fused and imperfectly reduced ore) is introduced with some peat and coal, and heated with the help of the blast.

    39

    As a result the time occupied by an operator per call was reduced from 50.77 seconds to 16.63 seconds.

    40

    As a verb, the word means to stifle or check; hence damped vibrations or oscillations are those which have been reduced or stopped, instead of being allowed to die out naturally; the "dampers" of the piano are small pieces of feltcovered wood which fall upon the strings and stop their vibrations as the keys are allowed to rise; and the "damper" of a chimney or flue, by restricting the draught, lessens the rate of combustion.

    41

    As all intellectual phenomena have by experimentalists been reduced to sensation, so all emotion has been and is regarded as reducible to simple mental affection, the element of which all emotional manifestations are ultimately composed.

    42

    As soon as the unified debt is reduced to £T16,000,000 the reserve fund is to be reduced to £Ti 3 000,000, the surplus over this last amount being paid to the government.

    43

    As the larger part of the water in a mine comes from the surface, the cost of drainage may be reduced by intercepting this surface water, and collecting it at convenient points in the pump shaft from which it may be raised at less cost than if permitted to go to the bottom.

    44

    At first he was a friend of King John, whose illegitimate daughter, Joanna, he took to wife (1201); but the alliance soon fell through, and in 1211 John reduced Llewelyn to submission.

    45

    At Ismailia malaria was reduced from 1551 cases in 1902 to 37 cases in 1905.

    46

    At once the attractive force of the solenoid on the iron cylinder was automatically reduced, and the falling of the latter caused the negative carbon to rise, starting an arc between it and the metal in the crucible.

    47

    At one time of greater size, it was reduced by Nadir Shah within its present limits.

    48

    At the same time the government carried out the forced conversion of the national loans into lower interestbearing issues, which greatly reduced the annual interest charges.

    49

    At the same time the interest guaranteed to the railway companies was reduced from 7 to 32%.

    50

    At the same time, the abolition of the indirect method of collecting the taxes in the provinces greatly reduced the political influence of the' equites.

    51

    Babylon was occupied and the country reduced to vassalage.

    52

    Baeyer pointed out that although benzene derivatives were obtainable from hexamethylene compounds, yet it by no means follows that only hexamethylene compounds need result when benzene compounds are reduced.

    53

    Bamberger's observations on reduced quinoline derivatives point to the same conclusion, that condensed nuclei are not benzenoid, but possess an individual character, which breaks down, however, when the molecule is reduced.

    54

    Before the end of September the French army was reduced to capitulate.

    55

    Between these, resting vertically upon the rostrum, appears the vomer; very variable in shape and size, often reduced to a mere trace, as in the Galli, or even absent, broken up into a pair of tiny splints in Pici.

    56

    Body elongated; visceral mass marked off from foot posteriorly; dorsal appendages absent, or reduced to a single pair; spicules in the integument.

    57

    Boiling under reduced pressure has one very serious drawback, viz.

    58

    But his unfettered powers in this respect have been reduced under the third Republic. This has chiefly been the effect of the law of the 10th of August 1871, which has led to decentralization, by increasing the powers of the conseils generaux.

    59

    But in April 1555 the town was reduced to extremity and was forced to capitulate to the emperor and the duke.

    60

    But just as he ernbarked that commission concluded the desired treaty of alliance, and soon after his arrival he advised that the number of commissioners be reduced to one.

    61

    But the importation of foreignsugar, cheapened by foreign state aid to a price which materially reduced the fair and reasonable profit of native cultivators, was a state of things the Indian government could not accept.

    62

    But the Nazarite was equally bound to lay aside his holiness before mixing with common folk and returning to ordinary life; this he did by a sacrifice, which, with the offering of his hair upon the altar, freed him from his vow and reduced him to the same level of sanctity as ordinary men.

    63

    But the number of tolls was only reduced to one, levied at Wittenberge, in 1863, about one year after Hanover was induced to give up the Stade or Brunsbiittel toll in return for a compensation of 2,857,340 thalers.

    64

    But there are several subfamilies of ants whose females have the lancets of the sting useless for piercing, although the poison-glands are functional, their secretion being ejected by the insect, when occasion may arise, from the greatly enlarged reservoir, the reduced sting acting as a squirt.

    65

    By coalescence of the endoderm-layers, the coelenteron may be reduced to vessels, usually eight in number, opening into a ring-sinus surrounding the pore.

    66

    By considering only the particles of air found in a right line, he reduced the problem of the propagation of sound to the solution of the same partial differential equations that include the motions of vibrating strings, and demonstrated the insufficiency of the methods employed by both his great contemporaries in dealing with the latter subject.

    67

    By economies and new taxes Sella had reduced the deficit to less than 2,000,000 in 1871, but for 1872 he found himself confronted with a total expenditure of 8,ooo,ooo in excess of revenue.

    68

    By the adoption of a regular system of work, and a careful plan of reduction, he was able to keep his observations reduced practically up to date, and published them annually with a degree of punctuality which astonished his contemporaries.

    69

    By this method of transmission the battery is always to the line for the same interval of time, and alternately with opposite poles, so that the effect of electrostatic induction is reduced to a minimum.

    70

    Cars built almost entirely of steel, in which the proportion of wood is reduced to a minimum, are used on some electric railways, in order to diminish danger from fire, and the same mode of construction is also being adopted for the rolling stock of steam railways.

    71

    Cephalic shield short, truncated posteriorly; eyes deeply embedded; three calcareous stomachal plates; shell external, with reduced spire.

    72

    Cerci present but usually reduced.

    73

    Certain offences reduced the guilty persons to slavery (servi poenae), and they were employed in public work in the quarries or the mines.

    74

    Certainly history shows that theism has generally been associated with some reduced or limited form of philosophy, usually with the intuitionalist scheme.

    75

    Charges were reduced and efficiency benefited by this movement.

    76

    China has no Cistus or heath, only a single Ferula, while Astragalus is reduced to 35 species.

    77

    Citric acid is also distinguished from tartaric acid by the fact that an ammonia solution of silver tartrate produces a brilliant silver mirror when boiled, whereas silver citrate is reduced only after prolonged ebullition.

    78

    Cladonema still has the typical medusan structure, and is able to swim about, but in Clavatella the umbrella is so much reduced that swimming is no longer possible.

    79

    Claudius Ptolemy (130) rectified this error, and in the so-called syntonous or intense diatonic scale reduced the proportions of his tetrachord to s, iii, f, -i.

    80

    Coelom generally reduced to a system of tubes, sometimes communicating with vascular system; in Acanthobdella and Ozobranchus a series of metamerically arranged chambers as in Oligochaeta.

    81

    Columbium hydride, CbH, is obtained as a greyish metallic powder, when the double fluoride, CbF 5, 2 KF, is reduced with sodium.

    82

    Consequently, after the last crushing the mixture retained by the residual megass was not juice, as was the case when crushing was employed without maceration, but juice mixed with water; and it was found that the loss in juice was reduced by one-half.

    83

    Coprolite is reduced to powder by powerful mills of peculiar construction, furnished with granite and buhrstones, before being treated with concentrated sulphuric acid.

    84

    Cuttings are reduced to a minimum; and where the roads are sufficiently wide, the rails are laid on the margins.

    85

    Devorgilla's bridge, below it, built of stone in 1280, originally consisted of nine arches (now reduced to three), and is reserved in spite of its massive appearance for foot passengers only, as is also the suspension bridge opened in 1875.

    86

    Disunion had reduced the Yugosla y s to an almost negligible quantity in Balkan politics.

    87

    Doncaster (1906-1907) on the eggs of sawflies, the number of chromosomes is not reduced in parthenogenetic egg-nuclei, while, in eggs capable of fertilization, the usual reduction-divisions occur.

    88

    Du Bois's results, which, as given in his papers, show the relation of H to the magnetic moment per unit of mass, have been reduced by Ewing to the usual form, and are indicated in fig.

    89

    During the early part of the 12th century the Chinese recaptured it and reduced it from the rank of a metropolis to that of a provincial city of the first grade, and called it Yen-shan Fu.

    90

    During the first years of its alliance with Rome it held the rank of a free confederate city; but, having sought arbitration on some of its domestic disputes, it was subjected to the imperial jurisdiction, and gradually stripped of its privileges, until reduced to the status of an ordinary Roman colony.

    91

    During the latter half of the 19th century the death-rate of many towns was reduced by something like 50%.

    92

    During the period from 1890 to 1901 twenty national banks retired from business, and the total capital stock was reduced from about twenty millions to about thirteen millions of dollars.

    93

    During these years the tribes living between the Elbe and the Oder were made tributary, bishoprics were founded in this district, and in 950 the king himself marched against the Bohemians and reduced them to dependence.

    94

    Equally indecisive is the further exploration as to evidence for the opinion held by other naturalists that the endemic species of the different islands have resulted from subsidences, through volcanic action, which have reduced one large island mass into a number of islets, wherein the separated species became differentiated during their isolation.

    95

    Even under so " moderate " a load as 33 kilogrammes per square mm., the induced magnetization of a hard-drawn nickel wire in a field of 60 fell from 386 to 72 units, while the residual was reduced from about 280 to io.

    96

    Foliage, tendril and inflorescence, reduced.

    97

    For not only has the weight been more than quadrupled in some of the larger breeds, and the structure of the skull and other parts of the skeleton greatly altered, but the proportionate size of the brain has been reduced and the colour and texture of the fur altered in a remarkable manner.

    98

    For some time after his arrival complete tranquillity prevailed in the island, but the Moslem population, reduced to great distress by the prolonged insurrection, emigrated in large numbers.

    99

    For the quantitative determination of cobalt, it is either weighed as the oxide, C0304, obtained by ignition of the precipitated monoxide, or it is reduced in a current of hydrogen and weighed as metal.

    100

    Fore feet with the functional toes reduced to two, the second and third, of equal length, with closely united metacarpals and short, sharp, slightly curved, compressed claws.

    101

    Fore-wings well developed; hind-wings reduced to stalked knobs (" halteres ").

    102

    Formerly all argentiferous lead had to be cupelled, and the resulting litharge then reduced to metallic lead.

    103

    Four days later he reduced a detachment at Reddersburg, and then went south and invested Colonel Dalgety and a mixed force at Wepener, which was relieved after ten days by General Hunter's Ladysmith division, brought round to Aliwal North from Natal.

    104

    Four-fifths of the net product of the revenues, after deduction of the first charge of £T590,000, was to be applied.to the service of the interest on the new reduced debt, and provided that the four-fifths were sufficient to allow the distribution of 1% interest, one-fifth was to be devoted to sinking fund; but this latter fifth was to be reduced, if necessary, by an amount sufficient to maintain the rate of interest at i %.

    105

    Frequently reduced in number of pairs; rarely (Capitellidae) more than one pair per segment.

    106

    From 1555 to 1867 the town returned two members to parliament, but in the latter year the number was reduced to one, and in 1885 the representation was merged in that of the West Riding.

    107

    From 1585 two members were regularly returned; the number was reduced to one in 1867, and in 1885 the representation was merged in that of the county.

    108

    From Moscow to Vyazma the French army of seventy-three thousand men not reckoning the Guards (who did nothing during the whole war but pillage) was reduced to thirty-six thousand, though not more than five thousand had fallen in battle.

    109

    From the fact that reduction products containing either one or two double linkages behave exactly as unsaturated aliphatic compounds, being readily reduced or oxidized, and combining with the halogen elements and haloid acids, it seems probable that in benzenoid compounds the fourth valencies are symmetrically distributed in such a manner as to induce a peculiar stability in the molecule.

    110

    Fruit attacked by the fungus(reduced).

    111

    Fruit, reduced.

    112

    Fruit, slightly reduced.

    113

    Further, it was a blow to the fair-play of party politics; the defeated party, having no leader, was reduced to desperate measures, such as the assassination of Ephialtes.

    114

    Gomperz suggests that he was originally in good circumstances, but was reduced to poverty.

    115

    Grimsby returned two members to the parliament of 1298, but in 1833 the number was reduced to one.

    116

    Having made the grand tour he returned to Ireland; and being employed by the parliament in a mission to the duke of Ormonde, now reduced to the last extremities, he succeeded in concluding a treaty with him on the 19th of June 1647, thus securing the country from complete subjection to the rebels.

    117

    He abandoned the attack on Rhodes at the first check, made concessions, for the sake of peace, to Venice and reduced the tribute due from Ragusa.

    118

    He also showed that every equation of an even degree must have at least one real quadratic factor, reduced the solution of linear differential equations to definite integrals, and furnished an elegant method by which the linear partial differential equation of the second order might be solved.

    119

    He approached by way of Cappadocia, where he reduced the Palmyrene garrisons, and thence through Cilicia he entered Syria.

    120

    He began with Peter of Lombardy (who had reduced to theological order, in his famous book on the Sentences, the various authoritative statements of the church upon doctrine) in his In Quatuor Sententiarum P. Lombardi libros.

    121

    He continued the struggle vigorously with Frederick's son and successor, Conrad IV., who in 1252 descended into Italy, reduced the rebellious cities and claimed the imperial crown.

    122

    He continued to accept the figure of the Kings' List for Dynasty III., but he reduced the length of Dynasty II.

    123

    He crushed the rebellion of Timarchus in Media and reduced Judaea to new subjection.

    124

    He died before it was completed, but it was finished by Sargon, who reduced the city, deported its inhabitants, and established within it a mixed multitude of settlers (who were the ancestors of the modern Samaritans).

    125

    He discovered a fact subsequently rediscovered by others, that a tube of metallic filings, loosely packed, was sensitive to electric sparks made in its vicinity, its electrical resistance being reduced, and he was able to detect effects on such a tube connected to a battery and telephone at a distance of 500 yds.'

    126

    He first directed his attention to Novgorod, and by gradually undermining and then destroying the ancient republican liberties he reduced the haughty city, which had long styled itself Lord Novgorod the Great, to the rank of a provincial town.

    127

    He had lost his hold upon Pennsylvania and his support in the house, while a cabal in the senate, bitterly and personally hostile to the treasury, crippled the administration and reduced every government measure to mere inanity.

    128

    He had submitted the doctrine of transubstantiation (already generally received both by priests and people, although in the west it had been first unequivocally taught and reduced to a regular theory by Paschasius Radbert in 831) to an independent examination, and had come to the conclusion that it was contrary to reason, unwarranted by Scripture, and inconsistent with the teaching of men like Ambrose, Jerome and Augustine.

    129

    He notes the convenience of the method for solar observations and its previous use by some of the observers already mentioned, as well as its advantages for easily and accurately copying on an enlarged or reduced scale, especially for chorographical or topographical documents.

    130

    He reduced Vectis (Isle of Wight) and penetrated to the borders of Somersetshire.

    131

    He took part in the siege of Yorktown, the battle of Fair Oaks, the seven days' battle before Richmond, and the battles of Antietam, Fredericksburg, where he was wounded, and Chancellorsville, where his brigade was reduced in numbers to less than a regiment, and General Meagher resigned his commission.

    132

    He turned first against the Byzantines, who were defeated several times; he took Cordova and chastised the Suevi; and then by stern measures he destroyed the power of those unruly and rebellious chieftains who had reduced former kings to the position of ciphers.

    133

    He was again minister of the treasury from November 1903 to March 1905 in Giolitti's second administration, and for the third time from February to May 1906, under Sonnino's premiership. During the latter term of office he achieved the conversion of the Italian 5% debt (reduced to 4% by the tax) to 31% to be eventually lowered to 32%, an operation which other ministers had attempted without success; although the actual conversion was not completed until after the fall of the cabinet of which he formed part the merit is entirely his.

    134

    He was imposed upon by speculators in whom he placed confidence, and was reduced to destitution by the failure of a scheme in which they engaged him.

    135

    Henry on his side looked to find in Becket the archbishop a coadjutor as loyal as Becket the archdeacon; and anticipated that the Church would once more be reduced to that state of dependence in which she had stood during the latter years of Henry I.

    136

    Hesse showed independently that the general ternary cubic can be reduced, by linear transformation, to the form x3+y3+z3+ 6mxyz, a form which involves 9 independent constants, as should be the case; it must, however, be remarked that the counting of constants is not a sure guide to the existence of a conjectured canonical form.

    137

    His power was reduced in the 6th century, when he was deprived of his authority over the Orient diocese, and became civil governor of Syria Prima, retaining his "respectable" rank.

    138

    His restlessness leads us at times to a comparison with Skelton, not in respect of any parallelism of idea or literary craftsmanship, but in his experimental zeal in turning the diction and tuning the rhythms of the chaotic English which only Chaucer's genius had reduced to order.

    139

    Hitherto we have generally restricted ourselves to syntheses which result in the production of a true benzene ring; but there are many reactions by which reduced benzene rings are synthesized, and from the compounds so obtained true benzenoid compounds may be prepared.

    140

    How severely strict medieval abstinence was may be gauged from the fact that armies and garrisons were sometimes, in default of dispensations, as in the case of the siege of Orleans in 1429, reduced to starvation for want of Lenten food, though in full possession of meat and other supplies.

    141

    I In 1894 the rentes then standing at 43/4% were reduced to 33/4%, and in 1902 to 3%.

    142

    If a bar of hard steel is placed in a strong magnetic field, a certain intensity of magnetization is induced in the bar; but when the strength of the field is afterwards reduced to zero, the magnetization does not entirely disappear.

    143

    If a series of such elements, all equally and longitudinally magnetized, were placed end to end with their unlike poles in contact, the external action of the filament thus formed would be reduced to that of the two extreme poles.

    144

    If a-naphthylamine and a-naphthol be reduced, the hydrogen atoms attach themselves to the non-substituted half of the molecule, and the compounds so obtained resemble aminodiethylbenzene, C 6 H 3 NH 2 (C 2 H 5) 21 and oxydiethylbenzene, C 6 H 3.

    145

    If s-naphthylamine and 0-naphthol be reduced, tetrahydro products are obtained in which the aminoor oxy-bearing half of the molecule becomes aliphatic in character.

    146

    If the blowing iron is held vertically with the bulb uppermost the bulb becomes flattened and shallow, if the bulb is allowed to hang downwards it becomes elongated and reduced in diameter, and if the end of the bulb is pierced and the iron is held horizontally and sharply trundled, as a mop is trundled, the bulb opens out into a flattened disk.

    147

    If the freedman violated his duties to his patron he was subject to an action at law, and if the decision were against him he was again reduced to slavery.

    148

    If the liquid is reduced to rest at infinity by the superposition of an opposite stream given by w = - Uz, we are left with w = Ua2/z, (6) =U(a 2 /r) cos 0= Ua2x/(x2+y2), (7) 4, = -U(a 2 /r) sin 0= -Ua2y/( x2+y2), (8) giving the motion due to the passage of the cylinder r=a with velocity U through the origin 0 in the direction Ox.

    149

    If we consider for the present only the primary plane of symmetry, the figure is reduced to two dimensions.

    150

    If we express the pressure, volume and temperature as fractions of the critical constants, then, calling these fractions the " reduced " pressure, volume and temperature, and denoting them by 7r, 0 and 0 respectively, the characteristic equation becomes (7+3/0 2)(30-i) =80; which has the same form for all substances.

    151

    If, however, the speed is reduced to 15 m.

    152

    In 1509 Florence encamped her forces on three sides of the distressed city, which at last, reduced to extremity by famine, was compelled to surrender on the 8th of June 1509.

    153

    In 1527 he sailed from Cuba with about 600 men (soon reduced to less than 400), landed (early in 1528) probably at the present site of Pensacola, and for six months remained in the country, he and his men suffering terribly from exposure, hunger and fierce Indian attacks.

    154

    In 1780 and 1781 he took an active part in opposition to Lord North's American policy, and it was largely as the result of his motion on the 22nd of February in the latter year, demanding the cessation of the war against the colonies, when the ministerial majority was reduced to one, that Lord North resigned office.

    155

    In 1790 the interest was reduced to 3%, and as the treasury had again become exhausted, a further issue was decided upon; it was also decreed that the assignats were to be accepted as legal tender, all public departments being instructed to receive them as the equivalent of metallic money.

    156

    In 1807 there were in the West Indies 800,000; in 1830 they were reduced to 700,000.

    157

    In 1820 he was appointed commander-in-chief in Ireland, but the command was soon reduced, and he resigned in 1822.

    158

    In 1830 the number of annual lectures or sermons was reduced from twenty to eight; after 1861 they were further reduced to a minimum of four.

    159

    In 1838 when the Zulu power was first checked the natives had been reduced to about 10,000.

    160

    In 1848, through no fault of his own, his salary was reduced to go.

    161

    In 1891 he was obliged to suspend the service of the public debt and make arrangements by which the bondholders accepted a reduced rate of interest.

    162

    In 1908, by the opening of a railway along the Florida Keys, the time of passage by water between Cuba and the United States was reduced to a few hours.

    163

    In a few cases some of the tracheids have very thick walls and reduced cavities, functioning as mechanical rather than as waterconducting elements.

    164

    In a subsequent battle he retrieved this disaster, and after a long blockade reduced the town itself.

    165

    In a well-made apparatus the pressure in the exhausted vessel is now reduced to I t o or 2 1, of a millimetre, or even less.

    166

    In accordance with these more sedentary habits during the first phases of life, the characteristic pilidium larva, which is so eminently adapted for a pelagic existence, appears to have been reduced to a close-fitting exterior layer of cells, which is stripped off after the definite body-wall of the Nemertine has similarly originated out of four ingrowths from the primary epiblast.

    167

    In all the Neornithes the total number of caudal vertebrae, inclusive of those which coalesce, is reduced to at least 13.

    168

    In both cases the hydranth is extremely reduced and has no tentacles, and the polyp forms a colony by budding from the base.

    169

    In certain cases, however, the walls of the oesophagus appear to be very closely applied to the muscular body-wall and this vascular space thereby considerably reduced.

    170

    In Colymbus the patella is reduced to a small ossicle, its function being taken by the greatly developed pyramidal processus tibialis anterior; in Podiceps and Hesperornis the patella itself is large and pyramidal.

    171

    In Cumberland, Northumberland, Durham and latterly the United States, the reverberatory furnace is used only for roasting the ore, and the oxidized ore is then reduced by fusion in a low, square blastfurnace (a "Scottish hearth furnace") lined with cast iron, as is also the inclined sole-plate which is made to project beyond the furnace, the outside portion (the "work-stone") being provided with grooves guiding any molten metal that may be placed on the "stone" into a cast iron pot; the "tuyere" for the introduction of the wind was, in the earlier types, about half way down the furnace.

    172

    In Jamaica, on the other hand, it was reduced from 1500 to 300 acres.

    173

    In July 1899 the Acreanos declared their independence and set up a republic of their own, but in the following March they were reduced to submission by Brazil.

    174

    In July 1906 the 5% gross (4% net), and 4% net rente were successfully converted into 33/4% stock (to be reduced to 33/4% after five years), to a total amount of 324,017,393.

    175

    In Lanice conchilega the posterior series of nephridia are connected by a thick longitudinal duct, which seems to be seen in its most reduced form in Owenia, where a duct on each side runs in the epidermis, being in parts a groove, and receives one short tubular nephridium only and occupies only one segment.

    176

    In making up a charge, the ores and fluxes, whose chemical compositions have been determined, are mixed so as to form out of the components, not to be reduced to the metallic or sulphide state, typical slags (silicates of ferrous and calcium oxides, incidentally of aluminium oxide, which have been found to do successful work).

    177

    In male beetles, however, the two pairs of genital processes (paramera) belonging to the ninth abdominal segment are always present, though sometimes reduced.

    178

    In many beetles the hindwings are reduced to mere vestiges useless for flight, or are altogether absent, and in such cases the two elytra are often fused together at the suture; thus organs originally intended for flight have been transformed into an armour-like covering for the beetle's hind-body.

    179

    In many Calyptoblastea there occur also reduced defensive polyps or dactylozoids, which the special name of sarcostyles.

    180

    In many Carabidae the hind-wings are reduced or absent, and the elytra fused together along the suture.

    181

    In many cases it acts as a reducing agent (when used in the presence of acids); thus, permanganates are reduced to manganous salts, iodates are reduced with liberation of iodine, &c., 2KMnO 4 + 550 2 + 2H 2 0 = K 2 SO 4 + 2MnSO 4 + 2H 2 SO 4; 2K103+ 550 2 + 4H 2 O =1 3 + 2KHSO 4 + 3H2S04.

    182

    In modern thermometry instruments of extreme accuracy are required, and researches have been made, especially in Germany and France, to ascertain the causes of variability in mercurial thermometers, and how such variability is to be removed or reduced.

    183

    In October 1904, after the September strikes, the Chamber was dissolved, and at the general elections in November a ministerial majority was returned, while the deputies of the Extreme Left (Socialists, Republicans and Radicals) were reduced from 107 to 94, and a few mild clericals elected.

    184

    In opposition to this Nominalistic view, which implied the reversal of his whole position, William may have meant to say that, instead of the universal being multiplied, it is rather the individuals which are reduced to unity in the universal.

    185

    In other cases (Tectibranchs) the reduced shell is enclosed by upgrowths of the edge of the mantle and becomes internal, as in many Cephalopods.

    186

    In other cases the leaf-gaps are very broad and long, the meristeles separating them being reduced to comparatively slender strands, while there is present in each gap a network of fine vascular threads, some of which run out to the leaf, while others form cross-connections between these leaf-trace strands and also with the main cauline meristeles.

    187

    In some cases (many species of Ascaris) the metamorphosis is reduced to a simple process of growth.

    188

    In specialized biting insects, such as beetles (Coleo C ptera), the labium tends to become a hard transverse plate bearing the pair of palps, a median structure - known as the ligula - formed of the conjoined laciniae, and a pair of small rounded processes - the reduced galeae - often called the " paraglossae," a term better avoided since it has been applied also to the maxillulae of Aptera, entirety different structures.

    189

    In that year the Swiss government reduced the rate for inland telegrams by one-half, and the traffic immediately doubled, but the cost of carrying on the service increased in a larger ratio.

    190

    In the aquatic, semi-aquatic, and xerophilous types, where the whole surface of the plant absorbs water, perpetually in the first two cases and during rain in the last, the hydrom strand is either much reduced or altogether absent.

    191

    In the campaign of 1304, when Edward renewed his attempt on Scotland and reduced Stirling, Bruce supported the English king, who in one of his letters to him says, "If you complete that which you have begun, we shall hold the war ended by your deed and all the land of Scotland gained."

    192

    In the cervical region the ribs are much reduced, fused with their verte brae and enclosing the transverse canal or foramen.

    193

    In the majority report it was stated " that, in order to place agricultural lands in their right position as compared with other ratable properties, it is essential that they should be assessed to all local rates in a reduced proportion of their ratable value."

    194

    In the Second Punic War it was again reduced to half this weight, viz.

    195

    In the smaller and simpler forms the capillary networks are much reduced, but the dorsal and ventral vessels are usually present.

    196

    In the Steganopodes they tend to become much reduced, e.g.

    197

    In the Tapiridae the dentition may be reduced below the typical 44 by the loss of the first lower premolar.

    198

    In the vascular cryptogams and phanerogams it takes place in the spore mother cells and the reduced number is found in all the cells of the gametophyte, the full number in those of the sporophyte.

    199

    In the year1910-1911the outstanding advances were to be so far paid off that the credits to be opened under this head would be still further reduced by £T500,000.

    200

    In this the large plates were reduced by means of the camera lucida, the text was revised, and the whole systematically arranged.

    201

    In this we have the theory of "distillation under reduced pressure."

    202

    Instead of recognizing, as before, a subclass in the Ratitae of Merrem, Nitzsch now reduced them to the rank of an order under the name " Platysternae," placing them between the " Gallinaceae " and " Grallae," though admitting that in their pterylosis they differ from all other birds, in ways that he is at great pains to describe, in each of the four genera examined by him - Struthio, Rhea, Dromaeus and Casuarius.

    203

    It appears to have been still more reduced under Octavian, Lepidus and Antony, when its value was 3 of an ounce.

    204

    It converts many metallic oxides into mixtures of nitrates and nitrites, and attacks many metals, forming nitrates and being itself reduced to nitric oxide.

    205

    It does not melt at a white heat, and is easily reduced to the metal by heating in a current of hydrogen or with carbon.

    206

    It forbids a railway which has reduced its rates while in competition with a water route to raise them again when the competition has ceased, unless the Commission permits it to do so because of other changed conditions.

    207

    It has been maintained that the gonads of Hydra represent sporosacs or gonophores greatly reduced, with the last traces of medusoid structure completely obliterated.

    208

    It is best adapted for application to clays and fen lands and should not be practised on shallow light sands or gravelly soils, since the humus so necessary for the fertility of such areas is reduced too much and the soil rendered too porous and liable to suffer from drought.

    209

    It is mentioned in the Domesday Survey as subject to a reduced assessment on account of its exposed position and liability to Danish attacks.

    210

    It is nevertheless certain that some of the old traditions were preserved by the remnants of the old population now reduced to a subject condition, and that these finally leavened the whole lump, so that once more - this time under a Hellenic guise - Crete was enabled to anticipate mainland Greece in nascent civilization.

    211

    It is not expected that military expenditure can be much reduced, except in the direction of supply contracts, which have been the cause in the past of iniquitous waste of means.

    212

    It is probable that this type of stele is a modification of a primitive protostele, in which the main mass of stelar xylem has become much reduced and incidentally separated from the leaftraces.

    213

    It is readily oxidized by nitric acid, and when strongly heated_ in a current of hydrogen is reduced to the metallic condition.

    214

    It is readily reduced.

    215

    It is reduced by nascent hydrogen to the secondary alcohol C6H5.CH.OH.CH3 phenyl-methyl-carbinol, and on oxidation forms benzoic acid.

    216

    It is to the greatly reduced fall of snow on the northern faces of the highest ranges of the Himalaya that is to be attributed the higher level of the snow-line, a phenomenon which was long a cause of discussion.

    217

    It is usual to subtract these resistances from the observed pull, so as to obtain the draw-bar pull reduced to what it would be at a uniform speed on the level.

    218

    It is, however, commonly employed hot, whereby its resistance is reduced.

    219

    It may be due to insufficient illumination (Etiolation), as seen in geraniums kept in too shaded a situation, and is then accompanied by soft tissues, elongation of internodes, leaves usually reduced in size, &c. The laying of wheat is a particular case.

    220

    It provided for municipal elections in January; for the election of a mayor for four years; for his recall at the end of two years if a majority of the registered voters so vote in the state election in November in the second year of his term; for the summary removal for cause by the mayor of any department head or other of his appointees; for a city council of one chamber of nine members, elected at large each for three years; for nomination by petition; for a permanent finance commission appointed by the governor; for the confirmation of the mayor's appointments by the state civil service commission; for the mayor's preparation of the annual budget (in which items may be reduced but not increased by the council), and for his absolute veto of appropriations except for school use.

    221

    It took, however, an important part in the rebellion of 295, and was reduced, with Vulsinii and Arretium, to seek for peace in the following year.

    222

    It was formerly believed that the sulphur had a volcanic origin, but it is now generally held that it has either been reduced from gypsum by organic agencies, or more probably deposited from sulphur-bearing waters.

    223

    It was found in practice (in 1889) that the expenditure of energy per pound of reduced aluminium was about 23 H.P.-hours, a number considerably in excess of that required at the present time for the production of pure aluminium by the electrolytic process described in the article Aluminium.

    224

    It was not till 1645 that the Turks made any serious attempt to effect the conquest of the island; but in that year they landed with an army of 50,000 men, and speedily reduced the important city of Canea.

    225

    It was now intended to re-establish the government on the basis of the old republican institutions, but it was found that sixty years of Medici rule had reduced them to mere shadows, and the condition of the government, largely controlled by a balia of 20 accoppiatori and frequently disturbed by the summoning of the parlamento, was utterly chaotic. Consequently men talked of nothing save of changing the constitution, but unfortunately there was no longer an upper class accustomed to public affairs, while the lower class was thoroughly demoralized.

    226

    It was then an independent republic with a population of some 70,000, but in 1131 it was reduced by King Roger of Sicily.

    227

    It was thus reduced by Lamarck in area, and made to comprise only the six-legged, wing-bearing " Insecta."

    228

    Its great merit consists in the complete notation and symbolism, which avoided the cumbersome expressions of the earlier algebraists, and reduced the art to a form closely resembling that of to-day.

    229

    Kilham's wife (Hannah Spurr, 1 77418 3 2), whom he married only a few months before his death, became a Quaker, and worked as a missionary in the Gambia and at Sierra Leone; she reduced to writing several West African vernaculars.

    230

    Koerner (Ber., 1884, 17, p. 203) by condensing ortho-nitrobenzaldehyde with aniline, the resulting ortho-nitro-para-diamino-triphenylmethane being reduced to the corresponding orthoamino compound, which on oxidation yields chrysaniline.

    231

    Lassalle attached himself to the cause of the countess, whom he believed to have been outrageously wronged, made special study of law, and, after bringing the case before thirty-six tribunals, reduced the powerful count to a compromise on terms most favourable to his client.

    232

    Lead, zinc and other metals have also been reduced in this manner.

    233

    Lehmann-Haupt's influence is visible in Marquart's system, published in the following year; 2 it may be noted that his slightly reduced figure for the beginning of Dynasty I.

    234

    Mantle-border projecting; frontal veil reduced, and often covered by the anterior border of the mantle.

    235

    Many millions of sheep and oxen all over the world have thus been treated, and the rate of mortality reduced from io to less than %.

    236

    Many other pogroms have occurred, and the condition of the Jews has been reduced to one of abject poverty and despair.

    237

    Marching rapidly on York he drove the Danes to their ships; and the city was then reduced by a blockade.

    238

    Margins of foot well developed; eyes superficial; three chitinous stomachal plates; shell external, with reduced spire.

    239

    Meanwhile the union of so many distinct political organisms had reduced the party system to chaos, and the first two years were taken up by a process of regrouping, the dominant issue being Centralism versus Federalism.

    240

    Meanwhile, again confronted by a rebellion of the prince of Karamania, Murad had crossed into Asia and reduced him to submission, granting him honourable terms, in view of the urgency of the peril in Europe.

    241

    Melcombe Regis first returned two members to parliament in 1307, and Weymouth in 1319, four members being returned by the united boroughs until 1832, when the representation was reduced to two and ceased in 1885.

    242

    Mucronalia, foot reduced, but still operculate, eyes present, animal fixed by its very long proboscis which is deeply buried in the tissues of an Echinoderm, no pseudopallium.

    243

    Mycelium of the fungus attacking root of vine (reduced).

    244

    Never very robust, his health gradually became weaker and ultimately he was reduced to the condition of a valetudinarian.

    245

    Newton's researches showed that the attraction of the earth on the moon was the same as that for bodies at the earth's surface, only reduced in the inverse square of the moon's distance from the earth's centre.

    246

    Niebuhr's system was a modification of Hommel's second theory, for, instead of entirely ignoring Dynasty II., he reduced its independent existence to 143 years, making it overlap Dynasty I.

    247

    Normally the four toes have two, three, four and five phalanges respectively, but in Cypselus the number is reduced to three in the front toes.

    248

    Not only Asiatics and Thracians thus became slaves, but in the many wars between Grecian states, continental or colonial, Greeks were reduced to slavery by men of their own race.

    249

    Now when the Hebrew religion was reduced to written form it began to be a book-religion, and since the book consisted of fixed rules and enactments, religion began to acquire a stereotyped character.

    250

    Now, however, the use of his remaining eye had been reduced to an hour a day, divided into portions at wide intervals, and he was driven to the conclusion that whatever plans he made must be formed on the same calculations as those of a blind man.

    251

    Of recent years the introduction of various organic compounds as precipitants or reagents has reduced the labour of the process; and advantage has also been taken of the fairly complex double salts which these metals form with compounds.

    252

    Of the metatarsals the fifth occurs as an embryonic vestige near the joint; the first is reduced to its distal portion, and is, with the hallux, shoved on to the inner and posterior side of the foot, at least in the majority of birds.

    253

    Of the total exports of this group (1905) very nearly 90% was of india-rubber, which percentage was reduced to 85 in the following year.

    254

    On his return, he outlined to Parliament a scheme by which the cost might be greatly reduced, mainly through the transference of authority to Arab chiefs.

    255

    On some of the earlierEnglish main lines no curves were constructed of a less radius than a mile (80 chains), except at places where the speed was likely to be low, but in later practice the radius is sometimes reduced to 40 or 30 chains, even on high-speed passenger lines.

    256

    On the 17th of July Napoleon signed at Paris a decree that reduced to subservience the Germanic System, the chaotic weakness of which he had in 1797 foreseen to be highly favourable to France.

    257

    On the death of Herod in 4 B.C. Archelaus kept open house for mourners as the Jewish custom, which reduced many Jews to beggary, prescribed.

    258

    On the east coast the fall is far less, nowhere rising to 50 in., and towards the southern apex of the peninsula being reduced to 25 or 30 in.

    259

    On the formation of the kingdom of Italy in 1860 they were reduced to the Comarca of Rome, the legation of Velletri, and the three delegations of Viterbo, Civita Vecchia and Frosinone; and in 1870 they disappeared from the political map of Europe.

    260

    On the lines actually authorized by the Board of Trade under the 1896 act the normal minimum radius of the curves has been fixed at about 600 ft.; when a still smaller radius has been necessary, the speed has been reduced to 10 m.

    261

    On the other hand, the number of segments may be reduced, certain of them often becoming highly modified in form.

    262

    On this principle Hahnemann ordered his original tinctures to be reduced in strength to onefiftieth; these first dilutions again to one-fiftieth; and so on, even till the thirtieth dilution, which he himself used by preference, and to which he ascribed the highest "potentiality."

    263

    On this reduced capital a minimum interest of% was to be paid, the rate of interest to be increased by quarters per cent.

    264

    Once, but only once (in the Gospel of Nicodemus), the time is reduced to five hundred years.

    265

    One tribe, living in the Maluti mountains, was reduced to cannibalism.

    266

    Ordinary highways might be declared to be "main roads," and "main roads" be reduced to the status of ordinary highways.

    267

    Our knowledge of the chemical structure of the monosaccharoses may be regarded as dating from 1880, when Zincke suspected some to be ketone alcohols, for it was known that glucose and fructose, for example, yielded penta-acetates, and on reduction gave hexahydric alcohols, which, when reduced by hydriodic acid, gave normal and secondary hexyliodide.

    268

    Owing to the experience gained with many thousands of miles of cable in all depths and under varying conditions of weather and climate, the risk, and consequently the cost, of laying has been greatly reduced.

    269

    Owing to the great number of tribes, sub-tribes and clans of the Kachins, the part of the Kachin hills which has been taken under administration in the Myitkyina and Bhamo districts was divided into 40 Kachin hill tracts (recently reduced to five).

    270

    Oxide of zinc, like most heavy metallic oxides, is easily reduced to the metallic state by heating it to redness with charcoal; pure red zinc ore may be treated directly; and the same might be done with pure calamine of any kind, because the carbon dioxide of the zinc carbonate goes off below redness and the silica of zinc silicate only retards, but does not prevent, the reducing action of the charcoal.

    271

    Pain and sin must have been reduced to a minimum by God; though they are so ingrained in the finite that we have to make up our minds even to the endless sin and endless punishments of hell.

    272

    Partial relief was sought in the continual issue of debased currency (beshlik, altilik and their subdivisions), of which the excess of nominal value over intrinsic value ranged between 33 and 97%, and finally paper money (kaime) which was first issued in 1839, bearing an interest of 8%, reduced in 1842 to 6%, such interest being paid on notes of 500 piastres, but not on notes of 20 or 10 piastres, which were issued simultaneously.

    273

    Phocaea continued to exist under the Persian government, but greatly reduced in population and commerce.

    274

    Piercing jaws modified and reduced, a tubular, protrusible suckingtrunk being developed; mouth with hooks.

    275

    Podocoryne have 13 been interpreted by some authors as reduced polyps.

    276

    Portion of vine root, showing masses of fructification (perithecia) of the fungus (reduced).

    277

    Previous to these two latter successes the king had made two raids into the north of England; after which Buittle, Dalswinton and Dumfries were reduced, and Berwick was threatened.

    278

    Recognizing that he would be indispensable so long as the Thirty Years' War lasted, she used every effort to bring it to an end; and her impulsive interference seriously hampered the diplomacy of the chancellor, and materially reduced the ultimate gains of Sweden.

    279

    Reduced in number to less than one hundred, and radically changed in spirit and composition, the Right gave way, if not to despair, at least to a despondency unsuited to an opposition party.

    280

    Reduced.

    281

    Robert Napier says that these results would have been reduced to order and demonstrated consecutively but for his father's death.

    282

    Russia, was reduced to a very low ebb, in consequence of the silkworm disease, and was only renewed with any vigour towards the end of the 'eighties.

    283

    Sanitary institutes are held by the state board at various towns each year for the instruction of the public. Boards of appraisers and equalization oversee the administration of the tax system; the cost of collection, owing to the fee system for payment of collectors, was higher than in any other state of the Union until 1907, when the fees were greatly reduced.

    284

    She had reduced him to nothing more than a fix for her troubles.

    285

    Shell more or less internal, much reduced or absent.

    286

    Siberia, which took place in the 5th century, drove them farther N., and probably reduced most of them to slavery.

    287

    Silver chloride is a very insoluble substance, and here the amount in solution is still further reduced by the presence of excess of chlorine ions of the potassium salt.

    288

    Similarly, For A Linear And A Quadratic, P= I, Q= 2, And The Reduced Form Is Found To Be 1 A2B2Z2 1 Az.

    289

    Since then its limits have been greatly reduced.

    290

    Slaves were often adopted and if they proved unfilial were reduced to slavery again.

    291

    Some plagues, such as typhus fever, have been dispelled; others, such as enteric fever, have been almost banished from large areas; and there is much reason to hope that cholera and plague, if introduced, could not get a footing in western Europe, or in any case could be combated on scientific principles, and greatly reduced.

    292

    Sometimes the pad is reduced to a ventral semi-ring or meniscus; it retains its largest almost original shape and size in the second vertebra, the axis or epistropheus, where it forms a separately ossifying piece which connects, and coossifies with, the odontoid process (the centrum of the atlas) and the centrum of the second vertebra.

    293

    Sometimes, especially in the case of overhead travelling cranes for very heavy loads, the chain is a special pitch chain, formed of flat links pinned together, and the barrel is reduced to a wheel provided with teeth, or " sprockets," which engage in the links.

    294

    Spengel has, however, in a most ingenious way shown that these bodies are the representatives of the typical pair of ctenidia, here reduced to a mere rudiment.

    295

    Spire of shell much reduced; a single ctenidium.

    296

    Spire of shell much reduced; two bipectinate ctenidia, the right being the smaller; no operculum.

    297

    Stroh assumes that every reducible seminvariant can in this way be reduced.

    298

    Such a region was naturally occupied from a very early period by wild and lawless races of mountaineers, who were very imperfectly reduced to subjection by the powers that successively established their dominion in Asia Minor.

    299

    Such are known as " reduced oils."

    300

    Switch plants, such as Retama Retam and broom (Cytisus scoparius), have reduced leaves and some assimilating tissue in their stems; and stomata occur in grooves on the stem.

    301

    Taxation was somewhat reduced, the censorship was made less severe, political amnesties were granted, humaner officials were appointed and the Congregations (a sort of shadowy consultative assembly) were revived.

    302

    Taxed with a tribute in furs from the earliest years of the Russian conquest, they often revolted in the 17th century, but were cruelly reduced to obedience.

    303

    That night the troops still left at Helles were reduced by one-third, and, on the next day breaking fine, it was decided to complete the operation on the following night as intended at the start.

    304

    The " New Republic," reduced in area, however, to less than 2000 sq.

    305

    The absence of the ordinary bright green colours of vegetation is another peculiarity of this flora, almost all the plants having glaucous or whitened stems. Foliage is reduced to a minimum, the moisture of the plant being stored up in massive or fleshy stems against the long-continued drought.

    306

    The active measures taken then and later reduced their numbers greatly, so that towards the end of the century they became scarce, but, as in the case of the sister island, the date of their final disappearance cannot now be ascertained.

    307

    The agricultural Sla y s of the Dnieper and the Oka were reduced to tribute, and before the end of the 7th century the Khazars had annexed the Crimea, had won complete command of the Sea of Azov, and, seizing upon the narrow neck which separates the Volga from the Don, had organized the portage which has continued since an important link in the traffic between Asia and Europe.

    308

    The annual damage was in 1906 reduced to £r,000,000 to £ 2,000,000, and this on a larger area devoted to cotton than in the case of the estimate given above.

    309

    The antennae of Diptera, which are also extremely important in classification, are thread-like in the more primitive families, such as the Tipulidae (daddy-long-legs), where they consist of a considerable number of joints, all of which except the first two, and sometimes also the last two, are similar in shape; in the more specialized families, such as the Tabanidae (horse-flies), Syrphidae (hover-flies) or Muscidae (house-flies, blue-bottles and their allies), the number of antennal joints is greatly reduced by coalescence, so that the antennae appear to consist of only three joints.

    310

    The appendages of the body are reduced to branchiae, present in certain forms. A clitellum is present.

    311

    The assignats had now become totally valueless - the abolition of the "maximum" the previous year (1795) had produced no effect, and, though, by various payments into the treasury, the total number had been reduced to about 24,000,000,000 francs, their face-value was about 3 o to I of coin.

    312

    The body is stout and thickly built; the legs are short and strong, and armed, especially the anterior pair, with long curved claws; the tail is short; and the ears are reduced to rudiments.

    313

    The bonded debt was thus reduced to $884,500; and on the 1st of January 1909 the debt, consisting of refunding bonds held as educational funds, amounted to $601,567.

    314

    The bore is then reduced to 5Z-in., and a bevelled shoulder being made in the rock, a 5$-in.

    315

    The character of this body was altered in 1890, and in 1898, in which latter year its functions were reduced to the essentially judicial.

    316

    The chlorine atom in this compound is replaced by the cyano-group, which is then reduced to the CH 2 NH 2.

    317

    The civil list has been reduced to the definite amount of £T443,880, which, without the consent of parliament, cannot be increased.

    318

    The civil list, which the law of the 10th of August 1862 had fixed at 650,000 a year, but which had been voluntarily reduced by the king to 530,000 in 1864, and to 490,000 in 1867, was thus raised to 570,000 a year.

    319

    The claying system involved the expense of large curing houses and the employment of many hands, and forty days at least were required for completing the operation and making the sugar fit for the market, whereas with centrifugals sugar cooked to-day can go to market to-morrow, and the labour employed is reduced to a minimum.

    320

    The corn duty was reduced to meet the emergency, but the disturbed area extended to Naples, Foggia, Ban, MinervinoRiots of Murge, Molfetta and thence along the line of railway 1898.

    321

    The cost of filling has been greatly reduced by the system of flushing culm, sand, gravel and similar material, through pipes leading from the surface into mine workings.

    322

    The crop is modified into a large and very rugose triturating apparatus, while the gizzard, thereby relieved of its function, is reduced to the utmost.

    323

    The cyanhydrin is hydrolysable to an acid, the lactone of which may be reduced by sodium amalgam to a glucoheptose, a non-fermentable sugar containing seven carbon atoms. By repeating the process a non-fermentable gluco-octose and a fermentable glucononose may be prepared.

    324

    The deep bay of Sale or Sumbawa on the north divides the island into two peninsulas, and the isthmus is further reduced by the narrower Bay of Chempi on the south.

    325

    The determination of the side of a regular heptagon which can be inscribed or circumscribed to a given circle was reduced to a more complicated equation which was first successfully resolved by Abul Gud.

    326

    The device known as the method of least squares, for reducing numerous equations of condition to the number of unknown quantities to be determined, had been adopted as a practically convenient rule by Gauss and Legendre; but Laplace first treated it as a problem in probabilities, and proved by an intricate and difficult course of reasoning that it was also the most advantageous, the mean of the probabilities of error in the determination of the elements being thereby reduced to a minimum.

    327

    The distillation of 1000 lb charge lasts 5-6 hours, requires 500-600 lb coke or 30 gallons reduced oil, and yields about to% metallic zinc and I% blue powder - a mixture of finely-divided metallic zinc and zinc oxide.

    328

    The district has been reduced to 4127 sq.

    329

    The downward course of the curve is, owing to hysteresis, strikingly different from its upward course, and when the magnetizing force has been reduced to zero, there is still remaining an induction of 7500 units.

    330

    The effective number of turns in the coil surrounding the test rod can be varied by means of three dial switches (for hundreds, tens and units), which also introduce compensating resistances as the number of effective turns in the coil is reduced, thus keeping the total resistance of the circuit constant.

    331

    The entocodon is to be regarded, therefore, not as primarily an ingrowth of ectoderm, but rather as an upgrowth of both bodylayers, in the form of a circular rim (IVa), representing the umbrellar margin; it is comparable to the bulging that forms the umbrella in the direct method of budding, but takes place before a manubrium is formed, and is greatly reduced in size, so as to become a little pit.

    332

    The expedition, which originally numbered 2500 men, was reduced by deaths at the hands of the Indians, by disease and privation, within a year to less than Soo men.

    333

    The facial portion of the skull is generally shorter than the cranial; the orbit is freely open behind; and the premaxillae tend to be reduced and fused with the nasals.

    334

    The family of Tekke Oglu, domiciled near Perga, though reduced to submission in 1812 by Mahmud II., continued to be a rival power to the Ottoman governor till within the present generation, surviving by many years the fall of the other great Beys of Anatolia.

    335

    The female gametophyte is extremely reduced; there is a sexual apparatus of naked cells, one of which is the egg-cell which, after fusion with a male cell, divides to form a large siispensorial cell and a terminal embryo.

    336

    The Festsaalbau, erected by Klenze in the Italian Renaissance style, is adorned with mural paintings and sculptures, while the Königsbau, a reduced copy of the Pitti Palace at Florence, contains a series of admirable frescoes from the Niebelungenlied by Julius Schnorr von Carolsfeld.

    337

    The finances were speedily put on an excellent footing, means were provided for carrying on the war to a successful issue (one of the chief expedients being the raising of the Sound tolls) and on the conclusion of peace Oxe, as lord treasurer, not only reduced the national debt considerably, but redeemed a large portion of the alienated crown-lands.

    338

    The first and second abdominal sterna are often suppressed or reduced, on account of the strong development of the hind-legs.

    339

    The first disease investigated by Pasteur was that of chicken cholera, an epidemic which destroyed io% of the French fowls; after the application of the preventive method the death-rate was reduced to below i %.

    340

    The first of them, Accipitres, comprehending all the birds-of-prey, were separated into 4 " cohorts " in his original work, but these were reduced in his appendix to two - Nyctharpages or owls with 4 families divided into 2 series, and Hemeroharpages containing all the rest, and comprising io families (the last of which is the seriema, Dicholophus) divided into 2 groups as Rapaces and Saprophagi - the latter including the vultures.

    341

    The First Punic War having exhausted the treasury, the as was reduced to 2 OZ.

    342

    The first thing done at his instance was to relieve the starving populace within and without the walls; shops were opened to give work to the unemployed; all taxes, especially those weighing on the lower classes, were reduced; the strictest administration of justice was enforced, and all men were exhorted to place their trust in the Lord.

    343

    The flowers are regular as in Viburnum Flowering shoot of Lonicera Caprifolium, slightly reduced.

    344

    The following year the rates to and from East and South Africa were reduced, by negotiation, from charges varying from 7s.

    345

    The French system of taxation was maintained because it brought in ampler revenues; but feudalism, the antiquated legislation and bureaucracy were revived, and all the officers and officials still living who had served the state before the Revolution, many of them now in their dotage, were restored to their posts; only nobles were eligible for the higher government appointments; all who had served under the French administration were dismissed pr reduced in rank, and in the army beardless scions of the aristocracy were placed over the, heads of war-worn veterans who had commanded regiments in Spain and Russia.

    346

    The fundamental form-elements may be reduced to the six proposed by Professor Penck as the basis of his double system of classification by form and origin.'

    347

    The funded debt was then gradually reduced until the last installment was paid in 1903.

    348

    The galvanometer throw which results from the change of current measures the amount by which the induction is reduced, and thus a second point on the curve is found.

    349

    The gauge may be regarded as reduced to its narrowest possible dimensions in mono-rail lines, where the weight of the trains is carried on a single rail.

    350

    The glands occur in groups, and lead into common ducts which open usually so much reduced that the foremost apparent ventral sclerite of the abdomen represents the third sternite.

    351

    The gonadial tubes (gonocoels or gonadial coelom) are originally reticular and paired, though they may be reduced to a simpler condition.

    352

    The great beauty and fertility of the country, as well as the charm of its climate, undoubtedly attracted, even in early ages, successive swarms of invaders from the north, who sometimes drove out the previous occupants of the most favored districts, at others reduced them to a state of serfdom, or settled down in the midst of them, until the two races gradually coalesced.

    353

    The Gulfport project reduced freight rates between Gulfport and the Atlantic seaboard cities and promoted the trade of Gulfport, which is the port of entry for the Pearl River customs district.

    354

    The heavy depreciation in silver causing large losses to the government, free coinage was suspended in 1880, and the nominal value of the mejidie was reduced by decree to 19 piastres (105.26 piastres thus = £T1), while in the same year the debased currencies were reduced, altilik, the 6-piastre piece to 5 piastres, the 3-piastre piece to 22 piastres, the 12-piastre piece to 14 piastre; beshlik, the 5-piastre piece to 22 piastres, the 22-piastre piece to 1;-piastre; metallik, the 1-piastre piece to 2 piastre, the 2-piastre piece to 4 piastre, the *-piastre piece to a piastre - these values representing approximately the intrinsic value of the silver, at mejidie standard, contained in the debased coins.

    355

    The Hexaplar text of the LXX., as reduced by Origen into greater conformity with the Hebrew by the aid of subsequent Greek versions, was further the mother (d) of the Psalterium gallicanum - that is, of Jerome's second revision of the Psalter (385) by the aid of the Hexaplar text; this edition became current in Gaul and ultimately was taken into the Vulgate; (e) of the SyroHexaplar version (published by Bugati, 1820, and in facsimile from the famous Ambrosian MS. by Ceriani, Milan, 1874).

    356

    The hind-wings, when developed, are characteristic in form, possessing a sub-costal nervure with which the reduced radial nervure usually becomes associated.

    357

    The hinge was oiled and didn't squeak because the friction had been reduced.

    358

    The hurricane, too, was followed by repeated droughts, and the inhabitants of the out-islands were reduced to indigence and want, a condition which is still, in some measure, in evidence.

    359

    The impedance of the primary or alternator circuit is so adjusted that when both the chokers are in circuit the current flowing is not sufficient to charge the condensers; but when one choker is short-circuited the impedance is reduced so that the condenser is charged, but the alternating arc is not formed.

    360

    The independent princes of Asia Minor were now completely subjugated and their territories finally absorbed into the Turkish dominions; Walachia was next reduced to the state of a tributary province.

    361

    The information at the disposal of dealers has steadily enlarged in volume and improved in trustworthiness, though some of it is not yet invariably above suspicion, and the time elapsing between an event and the knowledge of it becoming common property has been reduced to a fraction of what it used to be, in consequence chiefly of the telegraph and cables.

    362

    The inhabitants of the last-named islands were noted pirates until reduced to order by the French.

    363

    The inner lobe (lacinia) of the first maxilla terminates in an articulated hook, while in the second maxillae (labium) both inner and outer lobes ("ligula" and "para-glossae") are much Gyrinus sulcatus reduced.

    364

    The island was now reduced to a Roman province, and subsequently united for administrative purposes with the district of Cyrenaica or the Pentapolis, on the opposite coast of Africa.

    365

    The large showy flowers are visited by insects for the honey which is secreted by a ring-like disk below the ovary; large Convolvulus sepium, slightly reduced.

    366

    The larvae are remarkable for their small head, very broad thorax, with reduced legs, and narrow elongate abdomen.

    367

    The larvae have soft-skinned bodies sometimes protected by rows of spiny tubercles, the legs being fairly developed in some families and greatly segments to the foot, but there are really five, the fourth being greatly reduced.

    368

    The larvae have soft, fleshy bodies, with the head and prothorax large and broad, and the legs very much reduced.

    369

    The light dues were reduced in 1898 from 22 cents to 1 cent per ton.

    370

    The loss of their political independence has been followed by that of the greater part of their territory, which has been divided up into the Chilean provinces of Arauco, Bio-bio, Malleco and Cautin, and the Indians, much reduced in number, now live in the wooded recesses of the three provinces last named.

    371

    The magnesite (a) serves for the generation of carbon dioxide which clears the tube of air before the compound (mixed with fine copper oxide (b)) is burned, and afterwards sweeps the liberated nitrogen into the receiving vessel (e), which contains a strong potash solution; c is coarse copper oxide; and d a reduced copper gauze spiral, heated in order to decompose any nitrogen oxides.

    372

    The mainland of Zeeland-Flanders was formerly also composed of numerous islands which were gradually united by the accumulation of mud and sand, and in this way many once flourishing commercial towns, such as Sluis and Aardenburg, were reduced in importance.

    373

    The malady causing the greatest number of deaths is that of pulmonary consumption; but better housing accommodation has of late years reduced the mortality from this disease very considerably.

    374

    The males are very small, free-flying insects with the prothorax, mesothorax and elytra greatly reduced, the latter appearing as little, twisted strips, while the metathorax is relatively large, with its wings broad and capable of longitudinal folding.

    375

    The mandamenti or administrative divisions no longer correspond to the judicial divisions (mandamenti giudiziarii) which in November 1891 were reduced from 1806 to 1535 by a law which provided that judicial reform should not modify existing administrative and electoral divisions.

    376

    The manufacturers who have adopted this system assert that, as compared with other methods, not only do they obtain an increased yield of sugar of better quality, but that they do so at a less cost for running their machines and with a reduced expenditure in sugar and " clairce."

    377

    The medusa-buds, as already stated, are always produced from blastostyles, reduced non-nutritive polyps without mouth or tentacles.

    378

    The meta-nitrocompound, which is precipitated last, is then reduced, and the amino group so formed is replaced by the hydroxyl group by means of the Sandmeyer reaction.

    379

    The mission, reduced in numbers by the death of its archaeologist, von Haven, again visited Taiz in June 1763, where after some delay permission was obtained to visit Sana, the capital of the province and the residence of the ruling sovereign or imam.

    380

    The mode of election to the assembly was altered, the number of its members reduced, and the customs revenue, which had hitherto been shared with the island, was appropriated by the Turkish treasury.

    381

    The more or less dormant nitrogen and other constituents of the humus are made immediately available to the succeeding crop, but the capital of the soil is rapidly reduced, and unless the loss is replaced by the addition of more manures the land may become sterile.

    382

    The new law forbade the state banks to lend money on real estate, limited their powers of discounting bills and securities, and reduced the maximum of their paper currency.

    383

    The non-Mussulman subjects of the sultan had indeed early been reduced to such a condition of servitude that the idea of their being placed on a footing of equality with their Mussulman rulers seemed unthinkable.

    384

    The non-Russian frontier provinces (okrainas) had even before been under-represented (one member for every 350,000 inhabitants, as against one for every 250,000 in the central provinces); the members returned by Poland, the Caucasus and Siberia were now reduced from 89 to 39, those from the Central Asian steppes (23) were swept away altogether; the total number of deputies was reduced from 524 to 442.

    385

    The notopodium may be rudimentary or absent and the entire parapodium reduced to the merest ridge or even completely unrepresented.

    386

    The number has been reduced to less than half since 1897 by the suppression of smaller factories, while the production has increased from 47,690 millions to 59,741 millions.

    387

    The number of cod is still further reduced by the trade carried on in roe, large quantities of which are used in France as groundbait in the sardine fishery, while it also forms an article of human food.

    388

    The number of members of the school-board was in 1905 reduced from twenty-four to five, elected by the city at large, or serving for one, two or three years; at the same time power was centralized in the hands of the superintendent of schools.

    389

    The number of senators was reduced to 50, the number of commoners to 120, and the manner of choosing senators and commoners was changed as directed in the act providing for the convention.

    390

    The oviducts are always short trumpet-shaped tubes and are sometimes reduced (Enchytraeidae) to merely the external orifices.

    391

    The oxide dissolves slowly in acids; it is not reduced by hydrogen and is infusible.

    392

    The parietal muscles are usually reduced to.

    393

    The Peguans or Talaings then revolted, and having taken the capital Ava, and made the king prisoner, reduced the whole country to submission.

    394

    The penis, and its much reduced vestige of the female, is developed from the ventral wall of the proctodaeum.

    395

    The podestd and the capitano assenting to this treachery, he dismissed the gonfaloniere, reduced the priori to a position of impotence, disarmed the citizens, and soon afterwards accepted the lordship of Arezzo, Volterra, Colle, San Gimignano and Pistoia.

    396

    The pollex and the third finger are as a rule reduced to one phalanx each, while the index still has two.

    397

    The population of Pisa within the walls had been reduced in 1551 to 8574 souls, and by 1745 it had only risen to the number of 12,406.

    398

    The population was greatly reduced and large areas left without a single XIX.

    399

    The population was greatly reduced in numbers, and much of the land was left uncultivated.

    400

    The prae-genital somite, after appearing in the embryo, either is obliterated (Scorpio, Galeodes, Opilio and others) or is retained as a reduced narrow region of the body, the " waist," between prosoma and mesosoma.

    401

    The present work, on the contrary, is addressed to those who are already sufficiently convinced of the certain existence of social laws, and desire only to have them reduced to a true and conclusive system."

    402

    The principal facilities granted by the state are, exemption of taxation for a determined period of years, reduced railway fares for the goods manufactured, placing of government contracts, the grant of subsidies and loans and the foundation of industrial schools for the training of engineers and of skilled workmen.

    403

    The principal local government is that of the municipalities or municipal districts, but for the Spanish municipal government the insular legislature has substituted one resembling that of small towns in the United States, and it has reduced the number of districts from 66 to 47.

    404

    The priori were reduced to 8 (2 popolani grassi, 3 mediani and 3 artifici minuti), while the gonfaloniere was to be chosen in turn from each of those classes; the grandi were excluded from the administration, but they were still admitted to the consiglio del comune, the cinque di mercanzia, and other offices pertaining to the commune; the Ordinamenti were maintained but in a somewhat attenuated form, and certain grandi as a favour were declared to be of the popolo.

    405

    The process of distillation of lubricating oils under reduced atmospheric pressure is now in very general use, especially for obtaining the heavier products.

    406

    The proportion was greatly reduced in the 1901 census by the inclusion of the Shan States and the Chin hills, which mostly consist of illiterates.

    407

    The pulse is slowed, the number of beats per minute being actually reduced, under considerable doses, to forty, or even thirty, per minute.

    408

    The question is thus reduced to that of finding the effect of the first zone, or central circle, of which the area is 7rXr.

    409

    The rate for carriage of merchandise was reduced from 5d.

    410

    The rates on these advances have now been generally reduced to 6% with the exception of that on the advances from the lighthouse administration, which refused to allow any reduction below 7%.

    411

    The reading of " 9 soss and 36 years," which gives the total 576 years, he suggested was a scribal error for " 6 soss and 39 years "; he thus reduced the length of Dynasty III.

    412

    The reduced aluminium alloys itself immediately with the fused globules of metal in its midst, and as the charge becomes reduced the globules of alloy unite until, in the end, they are run out of the tap-hole after the current has been diverted to another furnace.

    413

    The registered Cossacks objected to being placed under a Hetman not freely chosen by themselves, and those who were not included in the militia objected still more strongly to the prospect of being reduced to the miserable condition of Polish serfs.

    414

    The rent was Sikhs 6,596 Jews 685 Parsees 245 Others 28 reduced permanently in 1898 to Rs.2,00,000 a year, but the share of the profits taken by government was increased from 20 to 30%.

    415

    The rest was reduced to firewood long ago.

    416

    The roadway, tracks and rolling stock are so well maintained that those causes which lead to the worst derailments have been eliminated almost completely, and the record of serious collisions has been reduced nearly to zero by the universal use of the block system and by systematic precautions at junctions.

    417

    The salient event of Bela's reign was the terrible Tatar invasion which reduced three-quarters of Hungary to ashes.

    418

    The Strassburg Ptolemy of 1522 contains Waldseemiiller's maps,' edited on a reduced scale by Laurentius Frisius, together with three additional ones.

    419

    The subject matter of ecclesiastical jurisdiction has been gradually reduced in England, &c., by various causes.

    420

    The subscriber pays a fixed annual rent which covers a certain number of free out - ward calls, say boo; additional calls he purchases in advance in blocks of several hundred at so much per hundred, the price being reduced as the number increases.

    421

    The suggested causes are (I) reduction of insects by drainage, (2) reduced population, (3) the use of quinine.

    422

    The sum and product of two quaternions are defined by the formulae mi ase + F+lases = (a s + 133) es 2arer X ZO,es = Fiarfseres, where the products e,e, are further reduced according to the following multiplication table, in which, for example, the eo e1 e2 e3 second line is to be read eieo = e1, e 1 2 = - eo, e i e 2 = es, eie3 = - e2.

    423

    The sympathies of the people, and even, it is said, of the clergy, throughout Scotland, were so unmistakably on the side of the rioters that the original stringency of the bill introduced into parliament for the punishment of the city of Edinburgh had to be reduced to the levying of a fine of 2000 for Porteous's widow, and the disqualification of the provost for holding any public office.

    424

    The system of setting nations by the ears with the view of settling the quarrels of a few reigning houses was reduced to absurdity when the people, as in these cases, came to be partitioned and exchanged without the assertion or negation of a single principle affecting their interests or rousing their emotions.

    425

    The tax was increased no fewer than six times between 1747 and 1808, but was reduced in 1823.

    426

    The Thalamencephalon is much reduced.

    427

    The toothed wheels give a slightly better efficiency, but the worm gear is somewhat smoother in its action and entirely silent; the noise of gearing can, however, be considerably reduced by careful machining of the teeth, as is now always done, and also by the use of pinions made of rawhide leather or other non-resonant material.

    428

    The town was taken in 1765 by Hyder Ali, who expelled all the merchants and factors, and destroyed the cocoa-nut trees, sandal-wood and pepper vines, that the country reduced to ruin might present no temptation to the cupidity of Europeans.

    429

    The transpiring surface of xerophytes is frequently reduced.

    430

    The union which sound religious teaching represents as realized in the submission of the will and the ethical harmony of the whole life is then reduced to a, passive experience, to something which comes and goes in time, and which may be of only momentary duration.

    431

    The use of automatic couplers for freight cars throughout the United States, introduced in 1893-1900, greatly reduced the number of deaths and injuries in coupling, and the use of air brakes on freight cars, now universal, has reduced the risk to the men by making it less necessary for them to ride on the roofs of high box-cars, while at the same time it has made it possible to run long trains with fewer men; but except in these two features the freight service in America continues to be a dangerous occupation.

    432

    The value of the ore reduced annually is about $10,000,000.

    433

    The variations in engine load are thus reduced, and incidentally hoisting time is saved.

    434

    The varieties of coast-lines were reduced to an exact classification by Richthofen, who grouped them according to the height and slope of the land into cliff-coasts (Steilkiisten)- narrow beach coasts with cliffs, wide beach coasts with cliffs, and 1 Rumpf, in German, the language in which this distinction was first made.

    435

    The velocity of a liquid particle is thus (a 2 - b 2)/(a 2 +b 2) of what it would be if the liquid was frozen and rotating bodily with the ellipse; and so the effective angular inertia of the liquid is (a 2 -b 2) 2 /(a 2 +b 2) 2 of the solid; and the effective radius of gyration, solid and liquid, is given by k 2 = 4 (a 2 2), and 4 (a 2 For the liquid in the interspace between a and n, m ch 2(0-a) sin 2E 4) 1 4Rc 2 sh 2n sin 2E (a2_ b2)I(a2+ b2) = I/th 2 (na)th 2n; (8) and the effective k 2 of the liquid is reduced to 4c 2 /th 2 (n-a)sh 2n, (9) which becomes 4c 2 /sh 2n = s (a 2 - b 2)/ab, when a =00, and the liquid surrounds the ellipse n to infinity.

    436

    The ventraPscleriteof the head-skeleton (gula), well developed in most families of beetles, is absent among the Rhynchophora, while the palps of the maxillae are much reduced.

    437

    The water in shallow seas, off the shores of islands or in lagoons, is saturated with calcium bicarbonate and if the amount of carbonic acid in solution be reduced by any means, normal carbonate must be precipitated.

    438

    The whole country was reduced to a desert, Susa was plundered and razed to the ground, the royal sepulchres were desecrated, and the images of the gods and of 32 kings "in silver, gold, bronze and alabaster," were carried away.

    439

    The work of removing stores, war material, animals and personnel was to be carried out on successive nights, the fighting force ashore was to be gradually reduced, the front line of trenches was to be held up till the very last - the final night being fixed provisionally for the 8th-9th - and the detachments vacating it were to hurry straight off to the beaches.

    440

    The working expenses were reduced in a progressively larger ratio, e.g.

    441

    The zinc and some lead are oxidized; part of the zinc passes off with the fumes, part is dissolved by the litharge, forming a melted mixture which is skimmed off and reduced in a blast-furnace or a reverberatory smelting furnace.

    442

    Their generals substituted heavy-armed cavalry for the old militia, and introduced systems of campaigning which reduced the art of war to a game of skill.

    443

    Then he had stood with 420,000 men on a front of 160 m., now he had only 229,000 men on a front of 135; he had missed three great opportunities of destroying his enemy in detail, and in five weeks, during which time he had only traversed 200 m., he had seen his troops reduced numerically at least one-third, and, worse still, his army was now far from being the fighting machine it had been at the outset.

    444

    There are numerous lagoons in the Llano districts caused by the periodical floods of the rivers, and extensive esteros and cienagas, in part due to the same causes, but these either dry up in the dry season or are greatly reduced in area.

    445

    There is a veliger stage in development, but the velum is reduced.

    446

    There is a well-marked processus lateralis anterior (the right and left together equivalent to the mammalian manubrium), which is the product of two or three ribs, the dorsal parts of which reduced ribs remain as cervico-dorsal ribs.

    447

    These are reduced, in all birds, to three, but traces of the fourth have been observed in embryos.

    448

    These fibre-tracheids are easily confused on superficial view with the true wood-fibres belonging to the parenchymatous system; but their pits are always bordered, though in the extreme type they are reduced to mere slits in the wall.

    449

    These four conditions can be reduced to two.

    450

    These lakes are much larger at flood season than at other times, and have been much reduced in size by the cutting of a channel through the raft.

    451

    These, now almost sixty in number (excluding seals), are all in a pictographic character which employed symbols somewhat elaborately depicted in relief, but reduced to conventional and " shorthand " representations in the incised texts.

    452

    They act as reducing agents, silver nitrate in the presence of ammonia being rapidly reduced to the condition of metallic silver.

    453

    They are considerably reduced in number in certain Polychaeta.

    454

    They are disposed in two groups on either side, corresponding in the Polychaeta to the parapodia; the two bundles are commonly reduced among the earthworms to two pairs of setae or even to a single seta.

    455

    They had reduced to slavery numerous tribes of the natives.

    456

    This army was hemmed in by the skill of the Burmans; and, being reduced by the want of provisions, it was afterwards attacked and totally destroyed, with the exception of 2500 men, who were sent in fetters to work in the Burmese capital at their several trades.

    457

    This continues until the grape is reduced to a black hard mass, with the folds of skin pressed closely against the seed.

    458

    This curve with the values reduced from metres to feet is reproduced below.

    459

    This defeat crushed the power of Florence for many years, reduced the city to desolation, and apparently annihilated the Florentine Guelfs.

    460

    This involved a large extension of wires to cope with increased traffic. The reduced rate took effect as from the 1st of October 1886.

    461

    This is then dissolved in water, reduced by alcohol and ignited in oxygen.

    462

    This keel is much reduced in the New.

    463

    This last substance may be reduced to mesoporphyrin, C34H3804N4, which by further reduction gives haemopyrrol, C 8 11 13 N, possibly methyl-propyl-pyrrol or butyl-pyrrol.

    464

    This system, by diminishing the freeman's mastery over himself and his power to determine his occupation, reduced the interval between him and the slave; and the latter on the one hand, the free domestic servant and workshop labourer on the other, both passed insensibly into the common condition of serfdom.

    465

    This variation is termed "distillation under reduced pressure or in a vacuum."

    466

    This was gradually reduced until the Civil War, when it was increased to $3,889,000 by 1865.

    467

    Thousands of people suffering from bites from rabid animals, from all lands, have been treated in this institute, and the death-rate from this most horrible of all diseases has been reduced to less than i %.

    468

    Through Anglo-French mediation Piedmonts war indemnity was reduced from 230,000,000 to 75,000,000 lire, but the question of the amnesty remained.

    469

    Thus the human element is reduced to zero, and the conception of prophecy becomes mechanical.

    470

    Thus the number of officers reporting direct to Lima was reduced from 77 to 7, a great improvement.

    471

    Thus, 1 - x would represent the operation of selecting all things in the world except horned things, that is, all not horned things, and (1 - x) (1 - y) would give us all things neither horned nor sheep. By the use of such symbols propositions could be reduced to the form of equations, and the syllogistic conclusion from two premises was obtained by eliminating the middle term according to ordinary algebraic rules.

    472

    To follow Baeyer's results we must explain his nomenclature of the reduced benzene derivatives.

    473

    To this council, with these extended powers, was handed over the absolute administration, collection and control of the " six indirect contributions " above enumerated, for the benefit of the bondholders, and in addition, it was to encash for the same purpose bills on the customs, to be drawn half-yearly in its favour by the minister of finance, amounting annually to £T180,000, representing the tax on Tumbeki (£TSo,000) and the surplus revenue of Cyprus (£T130,000); and the Eastern Rumelian annuity, originally fixed at £T245,000, but gradually reduced by force of circumstances, until after frequent suspensions of payment it reached in 1897 the level of £T114,000, and has, since the declaration of Bulgarian independence, been definitely stopped.

    474

    To this reduced and sedentary pilidium the name of " larva of Desor " has been given.

    475

    Tracheal system reduced or absent.

    476

    Tradition credits him with an especial genius for the delineation of animals and landscape, and commemorates his skill by a curious anecdote of a painted horse which left its frame to ravage the fields, and was reduced to pictorial stability only by the sacrifice of its eyes.

    477

    Turkey in Africa has gradually been reduced to Tripoli and Barca.

    478

    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.

    479

    Under this principle, rates are reduced where the increase of business which follows such reduction makes the change a profitable one.

    480

    Vine leaf attacked by mildew, Uncinula necator (Erysiphe Tuckeri), which forms white patches on the upper face, reduced.

    481

    Visceral commissure reduced; nervous system concentrated on dorsal side of oesophagus.

    482

    We have here the interesting fact that a muscle (portion of the triceps humeri of the reptiles) has been reduced to a tendon, which in a secondary way has become connected with cutaneous muscles, which, when strongly developed, represent its belly.

    483

    When 0=4 it is clear that no form, whose partition contains a part 3, can be reduced; but every form, whose partition is composed of the parts 4 and 2, is by elementary algebra reducible by means of perpetuants of degree 2.

    484

    When adjacent burial areas belonged to members of the same Christian confraternity, or by gift or purchase fell into the same hands, communications were opened between the respective cemeteries, which thus spread laterally, and gradually acquired that enormous extent which, " even when their fabulous dimensions are reduced to their right measure, form an immense work."' This could only be executed by a large and powerful Christian community unimpeded by legal enactments or police regulations, " a living witness of its immense development corresponding to the importance of the capital."

    485

    When generalizing the theory of pendulums of Jacob Bernoulli (1654-1705) he discovered a principle of dynamics so simple and general that it reduced the laws of the motions of bodies to that of their equilibrium.

    486

    When hydraulic pressure to the amount of 2000 to 3000 lb per square inch is applied, the saving is unquestioned, since less time is required to dry the pressed retort, its life in the furnaces is longer, its absorption of zinc is less, and the loss of zinc by passage through its walls in the form of vapour is reduced.

    487

    When the difference of phase amounts to A, we may expect the resultant illumination to be very much reduced.

    488

    When this has been accomplished the weight of the crop is reduced to about one-third, each 100 lb of seed cotton as picked yielding after ginning some 33 lb of lint and 66 lb of cotton seed.

    489

    When used for ore smelting, the reduced metal and the accompanying slag were to be caught, after leaving the arc and while still liquid, in a hearth fired with ordinary fuel.

    490

    When we reflect that the chapter is not narrative, but an abstract exposition of the guiding principles of the movements of several centuries, with many threads of complex thought running along side by side all through the speculation, then the circumstances under which it was reduced to literary form are really astonishing.

    491

    Whereas formerly the farmer was to some extent compensated by a higher price for a smaller yield, in recent years he had had to compete with an unusually large supply at greatly reduced prices.

    492

    While the furnace is running the crucible and channel remain filled with lead; all the lead reduced to the metallic state in smelting collects in the crucible, and rising in the channel, overflows into the basin, whence it is removed.

    493

    With declining prices for farm produce came that year of unhappy memory, 1879, when persistent rains and an almost sunless summer ruined the crops and reduced many farmers to a state of destitution.

    494

    With exceptionally bad weather the load would have to be reduced or two engines would have to be employed, or an exceptionally high rate of combustion would have to be maintained in the fire-box.

    495

    With iodine compounds, iodic acid is likely to be formed, and hence the solution must be reduced with sulphurous acid before precipitation with silver nitrate.

    496

    With many this is a practice at all seasons, and the railway companies foster the habit by means of tickets at reduced fares to all parts.

    497

    With the exception of Para, and Rio Grande the provinces were at peace, but these were in open rebellion; the former was reduced to obedience, but in the latter, though the imperial troops occupied the town, the country was ravaged by its warlike inhabitants.

    498

    With the exception of these forms, reduced for the most part in correlation with a semi-parasitic mode of life, the tentacles are usually numerous.

    499

    With the opening of the Russian railway from the Caspian to Merv, Bokhara and Samarkand in 1886-1887, Russian manufacturers were enabled to compete in Central Asia with their western rivals, and the value of European manufactures passing Meshed in transit was much reduced.

    500

    Without a sufficient supply plants remain stunted and the crop yield is seriously reduced, as we see in dry seasons when the rainfall is much below the average.