A book of quite a different order is the Co.ntos de proveito e exemplo by Fernandes Trancoso, containing a series of twenty-nine tales derived from tradition or imitated from Boccaccio and others, which enjoyed deserved favour for more than a century.
A full account of his literary activity and ecclesiastical troubles will be found in Abbe Albert Houtin's La Question biblique au XIX e siècle (Paris, 2nd ed., 1902) and La Question biblique au XX e siècle (Paris, 1906), but the latter especially is largely unfair to the conservatives and sadly lacking in religious feeling.
A further change in the meaning of the name is marked by its conferment on Pippin the Frank e by Pope Stephen.
A large fire-grate (ab), having a cave (c) to facilitate stoking and stepped back at (d), is bounded on one side by a fire-bridge (e); on the other side of this, separated by an air-channel (g), there is first the proper fluxing bed (h), and behind this the "back-bed "(i) for pre-heating the charge.
A large population is temporarily attracted to Cannstatt by the fame of its mineral springs, which are valuabl e for diseases of the throat and weaknesses of the nervous system.
A particular case of the last equation, namely, y 2 = ax e + 1, sorely taxed the resources of modern algebraists.
A pit called the "Maelstrom," in Croghan's Hall, is the spot most remote from the mouth of Gerta's Grotto Creighton's Dome Index Hovey's Cathedral 0' Martel Nelson's Domes p a e t a j-?l . ?Einbigler Dome Edna's Dome Galloway's Dome Chief City Violet.
A plausible explanation of R e 's action is supplied by the theory that an earlier account of the giving of the manna already existed at this point of the narrative.
A slight rotatory motion of the telescope E on its axis enables the vernier of the declination circle to be read through prism 1.
A, B, C, D, E, F, Terminals to which standard cell or voltages to be tested are attached.
A, Dorsal view showing the nervous system and digestive system; a, mouth; b, pharynx; c, d, e, gut; E, post-genital union of two limbs of gut; f, excretory pore; g, vaginal pore; h, j, k, brain and nerves; 1, dorsal nerves; m, ventral nerves; n, adoral sucker; o, posterior sucker; p, hooks on posterior sucker; r, vitello-intestinal duct.
Above these are generally worn a waistcoat without sleeves, and a long vest of silk, called e.
Abraham Bennet, the inventor of the gold leaf electro e described a doubler or machine for multiplying Bennet'.
Abteilung, pp. 216-226 and 440-442; Ludwig Braunfels, Kritischer Versuch fiber den Roman Amadis von Gallien (Leipzig, 1876); Theophilo Braga, Historia das novelas portuguezas de cavalleria (Porto, 1873), Curso de litteratura e arte portugueza (Lisboa, 1881), and Questoes de litteratura e arte portugueza (Lisboa,1885); Marcelino Menendez y Pelayo, Origenes de la novela (Madrid, 1905); Eugene Baret, De l'Amadis de Gaule et de son influence sur les me urs et la litterature au X VI e et au X VII e siecle (Paris, 1873).
According to E, Moses with Aaron is to demand from Pharaoh the release of Israel, which will be effected in spite of his opposition; in assurance thereof the promise is given that they shall serve God upon this mountain; moreover, the people on their departure are to borrow raiment and jewels from their Egyptian neighbours.
According to Plato (Prot., 318 E), he endeavoured to communicate "prudence" (6130vXia) to his pupils, "which should fit them to manage their households, and to take part by word and deed in civic affairs."
Accordingly for a given ellipsoid the surface density of free distribution of electricity on it is everywhere proportional to the the tangent e plane e att that point.
After a certain discount for friction and the recoil of the gun, the net work realized by the powder-gas as the shot advances AM is represented by the area Acpm, and this is equated to the kinetic energy e of the shot, in foot-tons, (I) e d2 I + p, a in which the factor 4(k 2 /d 2)tan 2 S represents the fraction due to the rotation of the shot, of diameter d and axial radius of gyration k, and S represents the angle of the rifling; this factor may be ignored in the subsequent calculations as small, less than I %.
After his departure, E house of however, the duke returned, and in 1239 was in possession of his former power, while the changes made by the emperor were ignored.
After rising to the rank of counsellor of legation, h'e was in 1887 made minister at Bucharest, where he remained till 1893.
After twenty years of investigation at Goa, Fernao Lopes de Castanheda issued his Historia do descobrimento e conquista da India pelos Portuguezes (Lisbon, 15521 554 and 1561), a book that ranks besides those of Barros and Couto.
All the above may be found in the Portugaliae monumenta historica, scriptores, while the Life of St Elizabeth of Portugal is included in the Monarchia lusitana; Romania has printed the following hagiographical texts belonging to the same century - the Vida de Eufrosina, the Vida de Maria Egypcia and the Vida de Sancto Amaro; the Vida de Santo Eloy has appeared in the Instituto and the Vida dos Santos Barlaao e Josafate has been issued by the Lisbon Academy of Sciences.
Also the velocity v at the end of the arc is given by (87) ve = u e sec 0 cos n.
Also, although logarithms have been spoken of as to the base e, &c., it is to be noticed that neither Napier nor Briggs, nor any of their successors till long afterwards, had any idea of connecting logarithms with exponents.
Amin-adCh S e daulah was appointed chief administrator (vizier) of1896-1898Azerbaijan and sent to Tabriz.
Among general critical studies are Costa e Silva's Ensaio biographico-critico and the masterly work of Menendez y Pelayo, Historia de las ideas estaticas Espana.
Among other historical works dealing with the East are the Commentarios de Affonso d'Albuquerque, an account of the life of the great captain and administrator, by his natural son, and the Tratado das cousas da China e de Ormuz, by Frei Gaspar da Cruz.
Among the incidental operations are (a) the valuation of the bullion by weighing and assaying it; (b) " rating" the bullion, or calculating the amount of copper to be added to make up the standard alloy; (c) recovering the values from ground-up crucibles, ashes and floor sweepings (the Mint " sweep "); (d) assaying the melted bars; (e) " pyxing " the finished coin or selecting specimens to be weighed and assayed; (f) " telling " or counting the coin.
Among the older works relating to Herculaneum, in addition to those already quoted, may be mentioned de Brosses, Lettre sur l'etat actuel de la y ule souterraine d'Heraclea (Paris, 1750); Seigneux de Correvon, Lettre sur la decouverte de l'ancienne ville d'Herculane (Yverdon, 1770); David, Les Antiquites d'Herculaneum (Paris, 1780); D' Ancora Gaetano, Prospetto storico-fisico degli scavi d'Ercolano e di Pompei (Naples, 1803); Venuti, Prime Scoverte di Ercolano (Rome, 1748); and Romanelli, Viaggio ad Ercolano (Naples, 181 I).
Amongst the most widely distributed of the I E?t Xoirpocs - on the threshold.
An hour circle attached to E P and a declination circle attached to the box containing the mirror N, both of which can be read or set from E, complete the essentials of the instrument.
An important event must be referred probably to the year 451, - the law of Pericles, by which citizenship (including the right to vote in the Ecclesia and to sit on paid juries) was restricted to those who could prove themselves the children of an Athenian father and mother (E d,u001v avroiv).
Any number of points on the parabola are obtained by taking any point E on the directrix, joining EG and EF and drawing FP so that the angles PFE and DFE are equal.
Applying the above equation to a gas obeying the law pv=RT, for which the work done in isothermal expansion from a volume i to a volume r is W=RT loger, whence dW=R log e rdt, he deduced the expression for the heat absorbed by a gas in isothermal expansion H=R log er/F'(t).
Arbogast's rule of the last and the last but one; in fact, taking the value of a to be unity, and, understanding this letter in each term, the rule gives b; c, b2; d, bc, b; e, bd, c, b c, b, &c., which, if b, c, d, e, &c., denote I, 2, 3, 4, &c., respectively, are the partitions of 1, 2, 3, 4, &c., respectively.
Aristotle rebels against this conception and substitutes the idea of irpc'e rn an and development.
Aryan e became i, as in Irish fir, Welsh gwir, " true," cognate with Latin ver-us.
As AB returns from EF towards CD the layer of air next to it follows it as if it D E F were pulled back by AB.
As an historian he published Origines de l'institution des intendants de provinces (1884), which is the authoritative study on the intendants; Etudes historiques sur les X VI e et X VIP siecles en France (1886); Histoire de Richelieu (2 vols., 1888); and Histoire de la Troisieme Republique (1904, &c.), the standard history of contemporary France.
As for his ivory-white, it distinctly surpasses the Chinese Ming Chen-yao in every quality except an indescribable intimacy of glaze and p&e which probably can never be obtained by either Japanese or European methods.
As head of the state department he soon came into conflict with Adams. His hatred of France made it impossible for him to sympathize with the president's efforts to settle the differences with that country on a peaceabl e basis.
As in Bories's instrument, a series of 9 weights, each of the form shown at E, serves to extend the scale FIG.
As soon as a hot billet A is withdrawn by pushing it endwise out of the exit door B, the whole row is pushed forward by a set of mechanical pushers C, the billets sliding on the raised water-cooled pipes D, and, in the hotter part of the furnace, on the magnesite bricks E, on which iron slides easily when red-hot.
As the loads move over the girder, the points C, D, E describe the parabolas M1, M2, M3 i the middle ordinates of which are 4W 1 1, 4W 2 1, and 4W3l.
Assuming for a moment the change to be one of density and leaving out of account the pressure shift, the cases (e) and (f) point to the fact that it is the closeness of packing of similar molecules which is effective, e.g.
At Cape Thorsden diffused auroral light had percentages e.
At present the "Ten Words" stand in the forefront of E's collection of laws, and it is evident that they were already found in that position by the author of Deuteronomy, who treated them as the sole basis of the covenant at Horeb.
At the focal point (E =o, n = o) all the secondary waves agree in phase, and the intensity is easily expressed, whatever be the form of the aperture.
At the instant that the original wave reaches F the wave from E has travelled to a circle of radius very nearly equal to EF-not quite, as S is not quite in the plane of the rails.
At the nodes A, B, C, D, E there is no displacement, but there are maximum volume and pressure changes.
B, as far as it goes (to 977), is identical with C, both having been copied from a common original, but A, C, D, E have every right to be treated as independent chronicles.
Baini held a higher place, however, as a musical critic and historian than as a composer, and his Life of Palestrina (Memorie storico-critiche della vita e delle opere di Giovanni Pierluigi da Palestrina, 1828) ranks as one of the best works of its class.
Baldachini, Vita e filos.
Below the piston of the upper cylinder is an annular space E (surrounding the common piston rod) with a capacity equal to the maximum displacement of the liftram, while the corresponding annular area C of the piston of the lower cylinder is just large enough when subjected to the working water pressure to enable the work of lifting the net load to be done and any friction to be overcome.
Benoist's Guichardin, historien et homme d'etat italien an X VI' siecle (Paris, 1862), and C. Gioda's Francesco Guicciardini e le sue opere inedite (Bologna, 1880) are not without value, but the authors had not had access to many important documents since published.
Besides A, B, E, F, Ingram used C and D for the first time.
Between 1903 and E 1909 the revenue increased from £51,000 to £102,000.
But 0 and Z are a group interrupted by E, and H and 0 are another group unconnected with the previous group and with E, and are also distinguished in style by avoiding hiatus.
But it is not difficult to find w e, approximately enough for practical purposes, very simply.
But no such suggestion occurs in the Basis Astronomiae of Peter Horrebow (Copenhagen, 1735), which contains the only works of Roemer that re e o main to us.
But P Can Never Be Less Than I Nor 1 Less Than 4, And In Both Cases E =23.
But the charge is Q = 21rra, and therefore the capacity of the thin wire is given by C =1/2 log e llr (2).
But tranquillity is clearly imp ssib'e in the Bessemer converter, in which the metal can be kept hot only by being torn into a spray by the blast.
By equation (72) we have E = w(v,2 vi2)/ag which, being divided by V=1/2(v,+vi), gives E/V=w(vfvi)/g; and consequently V2 in = gE/Vw (73)
By means of these formulae Adams calculated the values of log e 2, log e 3, log e s, and loge?
C is compensated by permanent magnets athwartships and horizontal; D by masses of soft iron on both sides of the compass, and generally in the form of cast-iron spheres, with their centres in the same horizontal plane as the needles; E is usually too small to require correction; A is fortunately rarely of any value, as it cannot be corrected.
C. Pickering discovered in the structure of the star E Puppis a series of lines which showed a remarkable similarity to that of hydrogen having the same root.
Certainly the publication E of his Einleitung (Introduction to the Old Testament), in 1780-1783, is a landmark in the history of Old Testament criticism.
Chem., 1898, p. 845) or by potassium permanganate (E.
Combebiac does not use K; and in place of, n he uses, u =1 7 - E, so that, u 2 = I, wµ = - µw = w, w 2 = o.
Consequently, A E I 0 are the normal propositions with indefinite predicates; whereas propositions with quantified predicates are only occasional forms, which we should use whenever we require to think the quantity of the predicate, e.g.
Considering the imprisonment of the ostracod body within the valves, it is more surprising that the Asteropidae and Cypridinidae should have a pair of compound and sometimes large eyes, in addition to the e median organ at the base of I the " frontal tentacle," than 6 that other members of the group should be limited to P that median organ of sight, or have no eyes at all.
Correa da Serra (I i vols., Lisbon, 1790-1804); Quadro elementar das relac es politicas e diplomatical de Portugal, ed.
D a r Illana Ba S Sea e a Is Palmas Agno rises in the mountains on the north border, flows south, south-west and north-west, and discharges through several channels into the Gulf of Lingayen.
D, An adult redia, containing a daughter-redia, two almost mature cercariae, and germs. E, A free cercaria.
D, E, F, Trochosphere stage, D fp, Pore in the foot (belonging mf, The mantle-flap or limbus to the pedal gland?).
Denoting the cross-section a of a filament by dS and its mass by dm, the quantity wdS/dm is called the vorticity; this is the same at all points of a filament, and it does not change during the motion; and the vorticity is given by w cos edS/dm, if dS is the oblique section of which the normal makes an angle e with the filament, while the aggregate vorticity of a mass M inside a surface S is M - l fw cos edS.
Dionysius Alexandrinus also, in his canonical epistle (260 A.D.), refers to the six fasting days (E Twv Pr YTECwv iijApac) in a manner which implies that the observance of them had already become an established usage in his time.
Distinct crystals are rarely met with; these are rhombohedral and isomorphous with arsenic and bismuth; they have a perfect cleavage parallel to the basal plane, c (111), and are sometimes twinned on a rhombohedral plane, e (1 ro).
Dividing by (0' - e"), and writing dp/do and dL/do for the limiting values of !the ratios (p' - p")/(o' - o") and (L' - L")/(o' - o"), we obtain the important relations s' - s"+dL/do= (v" - v')dp/do=L/o,..
Dormice a r e small arboreal rodents, with long hairy tails, large eyes and ears, and short fore-limbs, ranging over Europe, Asia and Africa.
Draw BE perpendicular to CB, cutting CD produced in E, then E is the instantaneous axis of the bar ADB; and the direction of motion of A is at every instant perpendicular to EAthat is, along the straight line ACa.
Draw JBA perpendicular to the lines of action, and let e be the angle of rotation.
Du Cane, Punishment and Prevention of Crime (1885); Braco, Estudos penitenciarios e criminaes (Lisbon, 1888); Garofalo, Studio sul delitto, sulle sui cause e sui mezzi di repressione (1890); Adolphe Guillot, Les Prisons de Paris (1890); Tallack, Preventive and Penological Principles (1896); Salillas, Vida penal en Espana (Madrid).
During a small electric transfer through the cell, the external work done is Ee, where E is the electromotive force.
E - H shows the formation of the myonemes and the flagellar border (flagellum) of the undulating membrane, by means of a greatly elongated nuclear-spindle.
E flat as key-note introduces another flat, and so on, each flat not quite coinciding with a sharp but at a very small interval from it.
E is a valve in the inlet pipe opening into the cylinder; and A the piston is perforated by one or more holes, each fitted with valves opening outwards on its upper surface.
E is due to transient induction in horizontal soft iron unsymmetrically placed with regard to the compass.
E is then the co-ordinate relatively to 0 of any focal point 0' for which the retardation is R; and the required result is obtained by simply integrating (5) with respect to from - cc to +oo.
E regularly uses the phrase "and Pharaoh's heart was strong (pin)," or "and Yahweh made strong (p'Tn) Pharaoh's heart" and "he would not let the children of Israel (or, them) go."
E, A male shortly before casting its larval skin.
E, Magnesite bricks on which the M, The escaping products of comhot billets slide forward.
E, The cap of small cells has increased in number by repeated formation of pellucid cells in the same way, and by division of those first formed.
E, The Trochosphere passing to the Veliger stage, dorsal view showing the formation of the primitive shell-sac.
Each of the four co-ordinates, n', x', y are functions of %, rj, x, y; and if it be assumed that the field of view and the aperture be infinitely small, then, n, x, y are of the same order of infinitesimals; consequently by expanding ', ii', x', y in ascending powers of E, rt, x, y, series are obtained in which it is only necessary to consider the lowest powers.
Encouraged by this pleasing symptom of orthodoxy the bishops, instead of first attempting to put their own dilapidated house in order, at once proceeded to institute pr e osecutions for heresy against all and sundry.
English also adopted the value of s for c in the 13th century before e, i and y.
Even when seen in minute features only he recognized them as constant progressive characters or " chronologic varieties " in 3b --i C D E F G H I -14-21 -I-31 1 - I - 41 contrast with contemporaneous or " geographic varieties," which he considered inconstant and of slight systematic value.
Every tube of electric force must therefore begin and end on electrified surfaces of opposite sign, and the quantities of positive and negative electricity on its two ends are equal, since the force E just outside an electrified surface is normal to it and equal to a/41r, where a is the surface density; and since we have just proved that for the ends of a tube of force EdS = E 1 dS', it follows that adS = a'dS', or Q = Q', where Q and Q' are the quantities of electricity on the ends of the tube of force.
Every unit of the rth species which does not vanish is the product of r different units of the first species; two such units are independent unless they are permutations of the same set of primary units e i, in which case they are equal or opposite according to the usual rule employed in determinants.
Facing the west are the stables (e), ox-sheds (f), goatstables (g), piggeries (h), sheep-folds (i), together with the servants' and labourers' quarters (h).
Felice e Fortunato was restored in A.D.
Fig 36, b and c, are examples of the former, and d, e, f of the latter.
Finally the group (0, Z), the book (E) and the group (II, 0), though unconnected with one another, are all connected though imperfectly with " the first discourses " (A,B,F).
Finally, the Sabora'e, " explainers, opiners " (about 500-540), made some additions of their own in the way of explanations and new decisions.
For a few months after the dissolution of the Neapolitan parliament the government abstained from persecution, but with the crushing of the Sicilian revolution its hands The were free; and when the commission on the affair of Neapolitan prisons, t h e 15th of May had completed its labours the state trials and arrests began.
For by the definition of potential it follows that the electric force in any direction at any point is measured by the space rate of change of potential in that direction or E = + dVldx.
For Dante's connexion with Pisa, see Dante e i Pisani, by Giovanni Sforza (Pisa, 1873).
For example, an indeterminative vowel, a, e, i or u, may be prefixed to any root to form an abstract; thus, from me, " speak," we get e-me, " speech"; from ra, " to go," we get a-ra, " the act of going," &c. In connexion with the very complicated Sumerian verbal system 2 it will be sufficient to note here the practice of infixing the verbal object which is, of course, absolutely alien to Semitic. This phenomenon appears also in Basque and in many North American languages.
For his life see Ardito, Giovanni Pontano e i suoi tempi (Naples, 1871); for his place in the history of literature, Symonds, Renaissance in Italy.
For his work on La Proprieta fondiaria Lombardia (Milan, 1856) he received a prize from the Milanese Societa d'incoraggiamento di scienze e lettere and was made a member of the Istituto Lombardo.
For instance, there are the symbols A, D, E used in the calculus of finite differences; Aronhold's symbolical method in the calculus of invariants; and the like.
For physiognomy of disease, besides the usual medical handbooks, see Cabuchet, Essai sur l'expression de la face dans les maladies (Paris, 1801); Mantegazza, Physiology of Pain (1893), and Polli, Saggio di fisiognomonia e potognomonia (1837).
For steel E =28,000,000 to 30,000,000, or on the average about twelve times its value for concrete.
For the murder of Escovedo, see Andrew Lang's discussion of it in his Historical Mysteries (1904); and the Espanoles e ingleses (1903) of Major" Martin Hume, who had access to various newly discovered MSS.
For The Sake Of Greater Generality, The Days Of The Week Are Denoted By The First Seven Letters Of The Alphabet, A, B, C, D, E, F, G, Which Are Placed In The Calendar Beside The Days Of The Year, So That A Stands Opposite The First Day Of January, B Opposite The Second, And So On To G, Which Stands Opposite The Seventh; After Which A Returns To The Eighth, And So On Through The 365 Days Of The Year.
For this purpose he selected extracts from the two narratives, " J " and " E," and combined them together into a single narrative, introducing in some places additions of his own.
For tools performing useful work at intervals, and having only their own friction to overcome during the intermediate intervals, e should be assumed equal to the whole work performed at each separate operation.
From 1018 the relations of C, D, E become too complicated to be expressed by any formula; sometimes all three agree together, sometimes all three are independent; in other places each pair in turn agree against the third.
From 983 to 1018 C, D and E are practically identical, and give a connected history of the Danish struggles under Æthelred II.
From about 1864 he occupied himself almost exclusively with spectrum analysis, both of stars (Catalogo delle stelle di cui si e determinato lo spettro luminoso, Paris, 1867, 8vo; "Sugli spettri prismatici delle stelle fisse," two parts, 1868, in the Atti della Soc. Ital.) and of the sun (Le Soleil, Paris, 1870, 8vo; 2nd ed., 1877).
From E draw EH perpendicular to OB, and EK to OA.
From the large lens, E, the rays pass through the open air for a considerable distance, depending upon how much the mast has been raised, to the lower optical system.
From these equations a value of W e can be obtained.
Full confirmation is afforded by English and Danish traditions relating to two kings named Wermund and Offa, from whom the M e rcian royal family were descended, and whose exploits are connected with Angel, Schleswig and Rendsburg.
Functional male and female organs have been shown to exist in Pyronema and Boudiera; in Lachnea stercorea both ascogonia and antheridia a are present, but the antheridium a1 is non-functional, the ascogonial _s- - (fema l e) nuclei fusing in pairs; /'y' this is also the case' in Humaria /;' h; granulate and Ascobolus furfurs -./ '"aceus, where the antheridium is _ / /, - entirely absent.
General Gordon, questioned on the point, telegraphed from Khartum, on tl,e 7th of March, that he might be cut off by a rising at Shendi, adding, I think it, therefore, most important to follow up the success near Suakin by sending a small force to Berber.
Gladstone justly regarded the refusal to remit a duty as being in effect an act of taxation, and Budget th e refore as an infringement of the rights of the House of'1860.
H, E, Egg-float and further enlarged J, detached egg of Culex.
Had he not been hampered by the 0 Otranto., Var 19 E Glasgow yMONMOUTH Good Hope 5.55 Sun Set 6.45 p.m.
Having been appointed assistant lecturer and afterwards full lecturer at the Ecole des Hautes Etudes, it was to the town of St Omer that he devoted his first lectures and his first important work, Histoire de la vile de Saint-Omer et de ses institutions jusqu'au XI V e siecle (1877).
He died on the 1st of January 1515 For a bibliograply of the printed sources see Henri Hauser, Les Sources de l'histoire de France, X VI e siecle, vol.
He entered the Celestine order and came into prominence during the pontificate of his uncle, Gregory XII., by whom he was appointed bishop of Siena, papal treasurer, protonotary, cardinal-priest of St Marco e St Clemente, and later cardinal-priest of Sta Maria in Trastevere.
He further supposed that, while this independent vital series of C is sometimes of this simple kind, at other times it is complicated by the addition of a dependent vital series in E, by which, in his fondness for too general and farfetched explanations, he endeavoured to explain conscious action and thought.
He is the author of many miscellaneous treatises on science, music, the art of teaching the deaf and dumb, &c. But his chief work, the labour of fully twenty years, is entitled Dell' origine, progressi, e stato attuale d'ogni Letteratura (7 vols., Parma, 1782-1799).
He now began to fulfil the promise of his "Cimabue," and by such pictures as "Paolo e Francesca," "The Star of Bethlehem," "Jezebel and Ahab taking Possession of Naboth's Vineyard," "Michael Angelo musing over his Dying Servant," "A Girl feeding Peacocks," and "The Odalisque," all exhibited in 1861-1863, rose rapidly to the head of his profession.
He thinks that the guttural element in E was a spirant, and therefore different from X, which is an aspirate.
He was refused admittance to the palace, and the people began to shout "Popolo e liberta I" in opposition to the Medicean cry of "Palle, Palle !"
He was then director of the college of Senlis, where he composed his Esprit de la Ligue ou histoire politique des troubles de la Fronde pendant le X VI e et le X Vil e siecles (1767).
Hence if dS and dS' are the areas of the ends, and +E and - E' the oppositely directed electric forces at the ends of the tube, the surface integral of normal force on the flux over the tube is EdS - E'dS' (20), and this by the theorem already given is equal to zero, since the tube includes no electricity.
Hence the electric force E in the interspace 1dRccor the potential V at any point in the interspace is given by varies inversely E = as - the distance distance =A/R from or V the - axis.
Hence the moment of the load on Am at C is wy0m, and the moment of a uniform load over any portion of the girder is w X the area of the influence curve Ip' G' E ' under that portion.
Hence the sequence of events after the completion of the covenant on Sinai-Horeb is not always easy to trace, though indications are not wanting in both J and E of the probable course of the history.
Hence we can only conclude that the Decalogue, in its original short form, came into existence during the period after the completion of E, but before the promulgation of Deuteronomy.
Hence, we find the words ga and ge, a and e for the same idea respectively.
Herculano led the way in the historical romance by his Lendas e narrativas and 0 Monasticon, two somewhat laboured productions, whose progenitor was Walter Scott; they still find readers for their impeccable style.
Here the agricultural character of her ritual is well marked; the first oxen used in ploughing were, according to an Argive myth, dedicated to her as E v cSia; and the sprouting ears of corn were called "the flowers of Hera."
Higher education is imparted at the university (Istituto di studii superiori e di perfezionalnento), with 600 to 650 students; although only comprising the faculties of literature, medicine and natural science, it is, as regards the first-named faculty, one of the most important institutions in Italy.
His comedies give a truthful and interesting picture of 18th century society, especially his best comedy, the Alec rim e Mangerona, in which he treats of the fidalgo pobre, a type fixed by Gil Vicente and Francisco Manoel de Mello.
His name survives in the town of Mopsuestia (M6 tov `E rria) and the spring of Mopsucrene.
His plays were published in the first two volumes of a collection entitled Theatro comico portuguez, which went through at least five editions in the 18th century, while the Alecrim e Mangerona appeared separately in some seven editions.
His Schiavitic e servaggio (Milan, 1868-1869) gave an account of the development and abolition of slavery and serfdom.
His Storia critica di Spagna e della cultura spagnuola in ogni genere (2 vols., 1781-1784) was finally expanded into the Historia critica de Espana y de la cultura espanola (1783-1805), which, though it consists of twenty volumes, was left unfinished; had it been continued on the same scale, the work would have consisted of fifty volumes.
His travels and mercantile experience had led E t u eopre him to conclude that the Hindu methods of computing were in advance of those then in general use, and in 1202 he published his Liber Abaci, which treats of both algebra and arithmetic. In this work, which is of great historical interest, since it was published about two centuries before the art of printing was discovered, he adopts the Arabic notation for numbers, and solves many problems, both arithmetical and algebraical.
I t r1 D Uoeree e?s/, 'c pn.
I, 2, 9-11; the narrative of E, on the other hand, has in part disappeared owing to the interpolation of later material, in part has been retained in xxiv.
If 1 denotes the logarithm to base e (that is, the so-called "Napierian " or hyperbolic logarithm) and L denotes, as above, " Napier's " logarithm, the connexion between 1 and L is expressed by L = r o 7 loge 10 7 - 10 7 / or e t = I 07e-L/Ia7 Napier's work (which will henceforth in this article be referred to as the Descriptio) immediately on its appearance in 1614 attracted the attention of perhaps the two most eminent English mathematicians then living - Edward Wright and Henry Briggs.
If A 1 = X a i e i, B i = /if i e i, the distributive law of multiplication is preserved by assuming A1B1=E(a0 i 3)eiej; it follows that A 1 B 1 = - B 1 A 1, and that A l 2 = o.
If a small conducting body is charged with Q electrostatic units of electricity, and placed in any electric field at a point where the electric force has a value E, it will be subject to a mechanical force equal to QE dynes, tending to move it in the direction of the resultant electric force.
If a= logg = - log (1-10)' 81 (1) c = 10g 80 = log 1 +sr, 126 (8) e =10g1 o = log 1 +1000 then log 2=7a-2b+3c, log 3=IIa-3b+5c, log 5=16a-4b +7c, and log 7 =2(39a - IOb+17c - d) or=19a-4b+8c +e, and we have the equation of condition, a-2b+c=d+2e.
If E be the point in which the line of the string meets AB, we have pjCP, pz=EP. Many contrivances for actually drawing the resulting curves have been devised.
If E is any extensive unit, there is one other unit E', and only one, such that the (progressive) product EE' =- r.
If each of the fractions (3) is put equal to i/4h, it is readily found, from the first property of the normal state, that, of the s molecules of the first kind, a number sal (h3m3 /13)e hm (u2+v2+w2)dudvdw (4) Velocities.
If it revolves about a vertical axis d its centre of gravity must always lie in that axis; if it rolls the centre of gravity must always lie over the e abutment.
If now the curve moves along unchanged in form in the direction ABC with uniform velocity U, the epoch e =OA at any time t will be Ut, so that the value of y may be represented as 2 y=a sin T (x - Ut).
If S is the surface of each plate, and d their distance, then the electric force E in the space between them is E = es.
If the egg with its contained embryo falls into water E (All from Marshall and Hurst, after Thomas.) FIG.
If the image of the line be =o, the intensity at any point E, n of the diffraction pattern may be represented by ?2a2t2 S A2f2 the same law as obtains for a luminous point when horizontal directions are alone considered.
If the load is in the bay D'E' and is carried by a rail girder which distributes it to cross girders at D'E', the part of the influence line under this bay is altered.
If the origin of rectangular axes fixed in the lamina be shifted through a space whose projections on the original directions of the axes are X, u, and if the axes are simultaneously turned through an angle e, the coordinates of a point of the lamina, relative to the original axes, are changed from x, y to X+x cos ey sin e, u+x sin e+y cos e, or X + x ye, u + Xe + y, ultimately.
If the saturated vapour behaves as a perfect gas, the change of intrinsic energy E depends only on the temperature limits, and is equal to s (8-00), where s is the specific heat at constant volume.
If the system is supposed to obey the conservation of energy and to move solely under its own internal forces, the changes in the co-ordinates and momenta can be found from the Hamiltonian equations aE aE qr = 49 - 1 57., gr where q r denotes dg r ldt, &c., and E is the total energy expressed as a function of pi, qi,.
If the tube is a perfect non-conductor, and if there are no eddies or frictional dissipation, the state of the substance at any point of the tube as to E, p, and v, is represented by the adiabatic or isentropic path, dE= -pdv.
If the velocity U is so chosen that E - poU 2 = o, then X = o, or the wave travels on through the action of the internal forces only, unchanged in form and with velocity U = (E/p).
If these are first drawn it is easy, for any position of the loads, to draw the lines B'C, B'D, B'E, and to find the sum of the intercepts which is the total bending moment under a load.
If two such W2 0 - - hyperboloids E, F, equal or E T unequal, be placed in the closest possible contact, as in fig.
If U is the velocity of sound in a gas at pressure P with density p, and if waves of length X and frequency N are propagated through it, then the distanc?e l between the dust-heaps is 2 = N - zN Vyp' where y is the ratio of the two specific heats.
If w is the total pressure excess, and if y is the total displacement at x, then w = E Xchange of volume _original volume = - Edy/dx.
If we also assume that they are constant with respect to temperature (which does not necessarily follow from the characteristic equation, but is generally assumed, and appears from Regnault's experiments to be approximately the case for simple gases), the expressions for the change of energy or total heat from 00 to 0 may be written E - Eo = s(0 - 0 0), F - Fo = S(0-00).
If we assume that s is a linear function of 0, s= so(I +aO), the adiabatic equation takes the form, s 0 log e OW +aso(0 - Oo) +R loge(v/vo) =o
If we consider a length l of the cylinder, the charge Q on the inner cylinder is Q=27rR l ly, where v is the surface density, and by Coulomb's law v = E i /47r, where E 1 = A/R 1 is the force at the surface of the inner Ai cylinder.
If we might accept the various theories mentioned above, Balaam would appear in one source of J as an Edomite, in another as an Ammonite; in E as a native of the south of Judah or' possibly as an Aramaean; in the tradition followed by the Priestly Code probably as a Midianite.
If we put this in the form y=a sin (x - e), we see that y=o, for x =e, e +aX, e+2A, e+;X, and so on, that y is + from x=e to x=e+iX, - from e+zX to e+?A, and so on, and that it alternates between the values+a and - a.
If we take another section nearer the hinder margin of the foot, we get the arrangement A e l..
If we take the new note B flat as key-note, another note, E flat, is required.
If, in the extensive calculus of the nth category, all the units (including i and the derived units E) are taken to be homologous instead of being distributed into species, we may regard it as a (2'-I)-tuple linear algebra, which, however, is not wholly associative.
If, starting from E, the same amount of heat h is restored at constant pressure, we should arrive at the point F on the adiabatic through B, since the substance has been transformed from B to F by a reversible path without loss or gain of heat on the whole.
In 1342 he was made cardinal-priest of Sti Giovanni e Paolo, and ten years later cardinal-bishop of Ostia and Velletri, grand penitentiary, and administrator of the bishopric of Avignon.
In 1586 Witherington plundered Bahia; E and i n 1591 Cavendish made an abortive attack on Santos; French in 1595 Lancaster attacked Olinda.
In 1659 a treaty of peace was with concluded between France, England and the United education of theer under was e ounce prince of Orange d Y e P g taken by the States of Holland under the super intendence of de Witt.
In 1674 appeared Historia et antiquitates Universitatis Oxoniensis, handsomely reprinted "e Theatro Sheldoniano," in two folio volumes, the first devoted to the university in general and the second to the colleges.
In 1756 Cruz e Silva, with the aid of friends, established the Arcadia Ulysiponense, " to form a school of good sayings and good examples in eloquence and poetry."
In 1764 he published his brief but justly celebrated treatise Dei Delitti e delle Pene (" On Crimes and Punishments").
In 1822 it was raised to the rank of a city, and in 1841, as a reward for its loyalty in revolutionary wars of that province, it was distinguished by the title of Leal e valorosa (loyal and valorous).
In 1837 he founded the Panorama in imitation of the English Penny Magazine, and there and in Illustracdo he published the historical tales which were afterwards collected into Lendas e Narratives; in the same year he became royal librarian at the Ajuda Palace, which enabled him to continue his studies of the past.
In 1865 the Clarendon Press published Two Saxon Chronicles (A and E) Parallel, with supplementary extracts from the others, by the Rev. John Earle.
In 1876 a statue of Servetus was erected by Don Pedro Gonsalez de Velasco in front of his Instituto Antropologico at Madrid; in 1903 an expiatory block was erected at Champel; in 1907 a statue was erected in Paris (Place de la Mairie du XIV e Arrondissement); another is at Aramnese; another was prepared (1910) for erection at Vienne.
In A there is a displacer (D) which is connected (by parts not shown) with the piston in such a manner that it moves down when the piston has moved up. The air-pressure is practically the same above and below D, for these spaces are in free communication with one another through the regenerator (E), which is an annular space stacked loosely with wire-gauze.
In all these matters Glagolitic differs very little from Cyrillic; it has only one symbol for ja (ya) and e because both in this dialect were pronounced the same.
In E'; the case of a parallelogram, the equivalent right,, trapezium is a rectangle; in the case of a triangle, Al it is a right-angled triangle.
In ethics Gioja follows Bentham generally, and his large treatise Del merito e delle recompense (1818) is a clear and systematic view of social ethics from the utilitarian principle.
In Nisan the Kalda prince, M e rodach (Marduk)-baladan, entered Babylon and baladan. ?
In Order To Investigate A Formula For The Epact, Let Us Make E=The True Epact Of The Given Year; J =The Julian Epact, That Is To Say, The Number The Epact Would Have Been If The Julian Year Had Been Still In Use And The Lunar Cycle Had Been Exact;, S =The Correction Depending On The Solar Year; M =The Correction Depending On The Lunar Cycle; Then The Equation Of The Epact Will Be E=J S M; So That E Will Be Known When The Numbers J, S, And M Are Determined.
In order to utilize this power, the converting mill, in which the pig iron is converted into steel, and the rolling mills must adjoin t h e blast - furnace.
In passing B it does work, p"v", on the fluid in front, and carries its energy, E"+ U", with it out of the space AB.
In recent years the science of vegetable palaeontology has been given the distinct name of Palaeobotany, so that " palaeontology e' among biologists mainly refers to zoology; but historically the two cannot be disconnected.
In the East the festival is known as the avitXi t ' cs, "taking up," or E rtcrco oµELn, a term first used in the Cappadocian church, and of which the meaning has been disputed, but which probably signifies the feast "of completed salvation."
In the extreme case when e=1, the prolate ellipsoid becomes a long thin rod, and then the capacity is given by C 1 = a/log e 2a/b (io), which is identical with the formula (2) already obtained.
In the following stemma M and N are "mixed" or "conflated" MSS., being formed by the blending of readings from the "pure" or "unmixed" codices A, B and D, E respectively.
In the geometry of plane curves, the term parabola is often used to denote the curves given by the general equation a' n x n = ym+n, thus ax= y 2 is the quadratic or Apollonian parabola; a 2 x = y 3 is the cubic parabola, a 3 x = y4 is the biquadratic parabola; semi parabolas have the general equation ax n-1 = yn, thus ax e = y 3 is the semicubical parabola and ax 3 = y 4 the semibiquadratic parabola.
In the negotiations of the Treaty of Paris (1783) the Dutch found themselves abandoned by their allies and com elled Pea c e of y, p to accept the disadvantageous but not ungenerous terms accorded to them by Great Britain.
In the other extreme case the oblate spheroid becomes a circular disk when e = i, and then the capacity C2 = 2a17r.
In the Phoenician alphabet a sibilant Zade (Tzaddi) stands between q and p. Hence Q is the nineteenth letter in the Phoenician alphabet, the eighteenth in the Greek numerical alphabet, which alone contains it, the sixteenth (owing to the omission of 8 and E) in the Latin, and (from the addition of J) the seventeenth in the English alphabet.
In the Phoenician alphabet Zain was the seventh letter, occupying the same position and having the same form approximately (i) as the early Greek Z, while in pronunciation it was a voiced s-sound; Samech () followed the 'symbol for n of and was the ordinary s-sound, though, as we have seen, e it is in different Greek states at the earliest period as well as E; after the symbol for p came Zade (v), which was a strong palatal s, though in name it corresponds to the Greek Nra; while lastly Shin (W) follows the symbol for r, and was an sh-sound.
In the plan before us this apartment (E) opens from the south cloister walk, adjoining the refectory.
In the same manner, if an electrified body carries a positive charge Q electrostatic units and is placed in an electric field at a place where the electric force or electromotive intensity has a value E units, it is urged in the direction of the electric force with a mechanical force equal to QE dynes.
In the same year (1620) Napier's Descriptio (1614) and Constructio (1619) were reprinted by Bartholomew Vincent at Lyons and issued together.5 Napier calculated no logarithms of numbers, and, as already stated, the logarithms invented by him were not to base e.
In the same year (1817) as that in which the Pindaris were crushed, and almost in the same month (November), the three great Mahratta powers at Poona, Nagpur and Indore Third ro s e against the English.
In the same year appeared his two great metaphysical works, De la Causa,Principio, ed Uno, and De l'Infinito, Universo, e Mondi; in the year following the Eroici Furori and Cabala del Cavallo Pegaseo.
In the tropical and subtropical belts of the Atlantic and Indian Oceans south of the equator the salinity diminishes rapidly from the surface downwards, and at 500 fathoms reaches a minimum of 34.3 or 34.4 p e r mille; after that it increases again to 800 fathoms, where it is almost 34.7 or 34.8, and this salinity holds good to the bottom, even to the greatest depths, as was first shown by the " Gauss " and afterwards by the " Planet " between Durban and Ceylon.
In the vowel-system a notable feature is the presence th the short vowels e and o, which are not found in Sanskrit and cu d Persian; thus the Sanskrit sanhi, Old Persian hantiy, becomes un, 11i in Zend.
In the West, among the Medes and Persians, the guardianship Th and ministry of Zoroastrianism is vested in an exclusive e priesthoodthe Magians.
In this case the solution of the equation reduces to the form e =x(1 - x)C 2 Ro/2lgk.
In this they were completely successful, for they obtained general solutions for the equations ax by = c, xy = ax+by+c (since rediscovered by Leonhard Euler) and cy 2 = ax e + b.
In this way the notches d, e of the hinder part of the mantle-skirt of Anodonta are in the siphonate forms converted into two separate holes, the edges of the mantle being elsewhere fused together along this hinder margin.
In those of type E the eye-piece has a fixed position and the observer may even occupy a room maintained at uniform temperature, but he must submit to a certain loss of light from one or more reflecting surfaces, and from possible loss of definition from optical imperfection or flexure of the mirror or mirrors.
In works on sound it is usual to adopt Helmholtz's notation, in which the octave from bass to middle C is written c d e f g a b c'.
Intellectually bold in the extreme, he was curiously timid in ordinary life, and is said to ha`e had a horror of ghosts.
Issel, Morfologia e genesi del Mar Rosso.
It contains numerous illustrations; maps of the routes of the ancient aqueducts and the city of Rome in the time of Frontinus; a photographic reproduction of the only MS. (the Monte Cassino); several explanatory chapters, and a concise bibliography, in which special reference is made to P. d Tissot, E tude sur la condition des agrimensores (1879).
It divides (chap. 8) evidences (7r1aTEts) into two kinds (I) evidence from arguments, actions and men (ai j s v E air&v Tcev Xhywv cal Twv 7rpit aw cal TWV avOpcoirwv); (2) adventitious evidences (ai S' iIriOETOtTOLs X yo,u vots cal Tois rpm-To/lb/0a).
It follows from the first law that the intrinsic energy of a substance in a given state must always be the same, or that the change of E in any transformation must depend only on the initial and final states, and not on the path or process.
It has, however, been shown by Lehmann that there is an independent group of Italian MSS., termed by him E, containing Books i.-vii.
It is ?e also largely used for feeding poultry, for which purpose mainly it is imported.
It is a plausible conjecture that the original narratives of J and E also contained directions for the construction of an ark,' as a substitute for the personal presence of Yahweh, and also for the erection of a "tent of meeting" outside the camp, and that these commands were omitted by R P in favour of the more elaborate instructions given in ch.
It is curious that Avenarius should have brought forward this artificial hypothesis as the natural view of the world, without reflecting that on the one hand the majority of mankind believes that the environment (R) exists, has existed, and will exist, without being a counterpart of any living being as central part (C); and that on the other hand it is so far from being natural to man to believe that sensation and thought (E) are different from, and merely dependent on, his body (C), that throughout the Homeric poems, though soul is required for other purposes, all thinking as well as sensation is regarded as a purely bodily operation.
It is customary, therefore, to denote the exponential function by e x, and the result ex = I +x+x2/2 !
It is found under the above name, OeaOiyc?7 'E eKtov, only in Cedrenus i.
It is generally known as the Dvenos inscription, from the name of the maker who wrote on the vessel from right to left the in scription, part of which is DV E N OS MED F E C E D (= fecit).
It is shown in the article on Combinatorial Analysis that (w; 0,n) is the coefficient of a e z w in the ascending expansion of the fraction 1-a.
It is therefore W m = (E 1 U) 27rUa/A = 27rnpUa.
It may be E briefly summarized here.
It may be noted that C is strongly anti-Godwinist, while E is equallypro-Godwinist, D occupying an intermediate position.
It may be noted that the elasticity E is only constant for small volume changes or for small values of dy/dx.
It must, however, be distinctly borne in mind that there is a fundamental difference between the eye of Vertebrates and of all other groups in the fact that in the Vertebrata the retinal body is itself a part of the central nervous system, and not a separate C E k e FIG.
It therefore made the aspirates A, E, Q and the semi-vowel I into vowels, and apparently converted the semi-vowel Y = w into the vowel which it placed at the end of the alphabet and substituted for it as the sixth symbol of the alphabet the letter F with the old value of w.
It was a sign of mostserious import for the future that in 1897 thc e,lgctoral law in the kingdom of Saxony was altered with thc express purpose of excluding the Socialists from the Saxon Landtag.
It was not till sixteen years later, on the collapse of the united kingdom of urnes re' A ?eltre' G'`h e n.
It was owing to the combination of this latter account with E's further description of the striving of the people for water at Meribah that the double name Massah-Meribah arose, xvii.
Its connexion with a is expressed by a =c4'/dr; so that TZ sin 05 e'(at - kr) 47b 2 where the factor e int is restored.
Joao Carlos de Saldanha de Oliveira e Daun, count The of Saldanha and commander of the army in Oporto.
John the Scot was still E acquainted with Greek, seeing that he translated the work of the pseudo-Dionysius; and his speculative genius achieved the fusion of Christian doctrine and Neoplatonic thought in a system of quite remarkable metaphysical completeness.
L, von Soden e 56, containing the Gospels; cod.
Lang, Myth, Ritual and Religion (1899); C. Pascal, Studii di antichita e mitologia (1896), who sees in Lycaon a god of death honoured by human sacrifice; Ed.
Latin e was identified with a native diphthong ei, and becomes zvy, as in rhwyf from remus.
Let E and F be two magnitudes so related that whenever F has any value (within certain limits) E has a definite corresponding value.
Let E be the bulk modulus of elasticity, defined as increase of pressure = decrease of volume per unit volume where the pressure increase is so small that this ratio is constant, w the small increase of pressure, and - (dy/dx) the volume decrease, then E=e/(- dy/dx) or w Æ= - dy/dx (I) This gives the relation between pressure excess and displacement.
Let E be the effective elasticity of the aether; then E = pc t, where p is its density, and c the velocity of light which is 3 X 10 10 cm./sec. If = A cos" (t - x/c) is the linear vibration, the stress is E dE/dx; and the total energy, which is twice the kinetic energy Zp(d/dt) 2 dx, is 2pn2A2 per cm., which is thus equal to 1.8 ergs as above.
Let E be the resultant electric force at any point in the field.
Let e denote the quantity by which the energy exerted in each cycle of the working of the machine alternately exceeds and falls short of the work performed, and which has consequently to be alternately stored by acceleration and restored by retardation of the flywheel.
Let n, w be two quasi-scalars such that r t e =n, con = w, nw =w 2 = o.
Let the whole energy E of the system be supposed equal to Ei+E2, where E2 is of the form E2 = ?
Let w e be the load per ft.
Let yr be the linear velocity of the point E fixed in the plane of axes AOB.
Long i, whether from Aryan e or i, or from Latin i, remains as i, see examples above.
Lopes de Mendonga treats of the literature of the 16th and 17th centuries in articles in the Annaes das sciencias e letras; and the Memorias de litteratura portugueza printed by the Lisbon Academy of Sciences (1792-1814) contain essays on the drama and the Arcadia, but the 19th century has naturally received most attention.
Luiz de Sousa e Vasconcellos, count of Castello Melhor, directed the policy of the nation while Schomberg took charge of its defence.
Luzio, whose account in Profili e bozzetti storici (Milan, 1906) gives the latest information on the subject, has demolished Amante's arguments.
Makaroff, The Yermak in the Ice (in Russian) (St Petersburg, 1901); The Norwegian North Atlantic Expedition (on the " Voringen "), 1876-1878 (Christiania, 1880-1900); Expeditions scientifiques du " Travailleur " et du " Talisman," 1880-1883 (Paris, 1891 et seq.); Die Ergebnisse der Plankton-Expedition, 1889 (Kiel, 1892 et seq.); Resultats des campagnes scientifiques accomplies sur son yacht par Albert I e ' Prince Souverain de Monaco (Monaco, from 1889); The Danish " Ingolf " Expedition, 1806 (Copenhagen, 1900); Prof. Luksch, Expeditionen S.M.
Mariano e Jacopo, a structure of the 12th century, with a façade, adorned with contemporary sculptures, partly restored in 1514-1550.
Mercati, Studi e testi (Rome, 1901) to be the proces verbal of an actual discussion held under Justinian at Constantinople in 527.
More probably a later editor has worked up old material of E (of which there are unmistakable traces) in order to include the whole of xx.-xxiii.
Most authorities have held that the new form was derived from E by dropping the lowermost crossbar; some have held that it developed out of the old Vau, a view which is not impossible in itself and has the similar development in Aramaic (Tema) in its favour.
Napier gives logarithms to base e ', Byrgius gives antilogarithms to base (I.coo')='a.
Napier's logarithms are not the logarithms now termed Napierian or hyperbolic, that is to say, logarithms to the base e where e= 2.7182818 ...; the relation between N (a sine) and L its logarithm, as defined in the Canonis Descriptio, being N=10 7 e L/Ip7, so that (ignoring the factors re, the effect of which is to render sines and logarithms integral to 7 figures), the base is C".
Neglecting the external heat-loss, and the variation of the thermal and electric conductivities k and k', we obtain, as before, for the difference of temperature between the centre and ends, the equation O, Tho z Go = C 2 R1/8qk = ECl/8qk = E 2 k'/8k, (11) where E is the difference of electric potential between the ends.
No doubt the Phoenicians had their legends and myths to account for the origin of man and the universe; to some extent these would Myth R e!,, o logy have resembled the ideas embodied in the book of and Genesis.
None of them, in point of fact, has held its ground, and even his proposal to denote unknown quantities by the vowels A, E, I, 0, u, Y - the consonants B, c, &c., being reserved for general known quantities - has not been taken up. In this denotation he followed, perhaps, some older contemporaries, as Ramus, who designated the points in geometrical figures by vowels, making use of consonants, R, S, T, &c., only when these were exhausted.
Now If One Of The Days Of The Week, Sunday For Example, Is Represented By E, Monday Will Be Represented By F, Tuesday By G, Wednesday By A, And So On; And Every Sunday Through The Year Will Have The Same Character E, Every Monday F, And So With Regard To The Rest.
Now it is obvious that the results obtained by the foregoing analysis of J and E have an important bearing on the history of the remaining section of E's legislation, viz.
Now, as the line of contact OT is for the instant at rest on the rolling cone as well as on the fixed cone, the linear velocity of the point E fixed to the plane AOB relatively to the rolling cone is the same with its velocity relatively to the fixed cone.
Observing that F is a function of the co-ordinates expressing the state of the substance, we obtain for the variation of S with pressure at constant temperature, dS/dp (0 const) '=' 2 F/dedp =-0d 2 v/d0 2 (p const) (12) If the heat supplied to a substance which is expanding reversibly and doing external work, pdv, is equal to the external work done, the intrinsic energy, E, remains constant.
On account of the aberrations of all rays which pass through 0, a patch of light, depending in size on the lowest powers of E, x, y which the aberrations contain, will be formed in the plane I'.
On again F J J raising the piston the valve E opens ?g G admitting more liquid whilst F re- mains closed.
On oxidation .ith chromic acid it forms a quinone, C 15 H 8 0 2, and an a-diphenylene keto carboxylic acid C E I-4 3.
On raising the piston the liquid rises in the cylinder, the valve E opening and F remaining shut.
On raising the piston, the valve F remains closed and a vacuum tends to be created in the cylinder, but the pressure of the atmosphere forces the liquid up the tube D and it raises the valve E and passes into the cylinder.
On reversing the motion the valve E closes and the liquid is forced through the valve F to the upper part of the cylinder.
On the 1st of September 1512 Retur e Medici G i ul i ano and Giovanni de' Medici, and their nephew (1512).
On the 6th of December 1506 his plan was approved by the signoria, and a special ministry, called the nove di ordinanza e militia, was appointed.
On the other side of the rotating disk were placed two metal combs C, C, which consisted of sharp points set in metal rods and were each connected to one of a pair of discharge balls E, D, the distance between which could be varied.
One of the best methods for doing this is to charge the Ab l condenser by the known voltage of a battery, and then d e t erdischarge it through a galvanometer and repeat this minations.
One of the most noteworthy schools of the city is the Lycen de Artes e Officios, located on Rua 13 de Maio, opposite the operahouse; it dates from 1858 and has been the means of giving instruction to a multitude of clerks, artisans and others, through its night classes.
Outline of the ventral surface to show the external apertures and nervous system; a, rosette-organ; b, uterine pore; c, terminal sucker; e, vaginal pore; g, male gonopore; n, o, p, nervous system.
P= 54 E 1=57 E, Or (57 E) 7 R' By Substituting One Or Other Of These Values Of P And 1, According A; The Case May Be, In The Formula P = P (L L), We Shall Have P, Orthe Number Of Days From The 21St Of March To Easter Sunday.
Palatinus (e) of the 5th century at Vienna, both of which are imperfect, especially k, which, however, is far the superior in quality; in the Acts and Catholic epistles by cod.
Philological studies were pursued with ardour and many valuable publications have to be recorded, among them Bluteau's Vocabulario Portuguez, the Reflexoes sobre a lingoa portugueza and an Arte poetica by Francisco Jose Freire, the Exercicios and Espirito da lingoa e eloquencia of Pereira de Figueiredo, translator of the Vulgate, and Viterbo's Elucidario, a dictionary of old terms and phrases which has not been superseded.
Pietro e Cesareo, fronting upon it, is ensconced in.a temple of Rome and Augustus, part of the side wall of which, with engaged columns, is still visible.
Plato (Theaetetus, 15 2 E) puts him at the head of the masters of comedy, coupling his name with Homer and, according to a remark in Diogenes Laertius, Plato was indebted to Epicharmus for much of his philosophy.
Preval- worship still prevails largely in India, and a writer e p ee in in 1896 remarks that the previous census showed in varying the North-West Provinces over 25,000 Naga (serpent) forms. worshippers, 123,000 votaries of the snake-god Gaga, and, in the Punjab, some 35,000 special votaries of the snake godlings.'
Putting 1 - n _ E we get Combebiac's tri-quaternion under the form Q= Ep+nq+wr.
Q 1 The Unreduced Generating Function Which Enumerates The Covariants Of Degrees 0, 0' In The Coefficients And Order E In The Variables.
R, Keys holding lid of tuyere E, Goose-neck.
Referring the reader to the article Elasticity for the theoretical and to the Strength Of Materials far the practical aspects of this subject, we give here a table of the "modulus of elasticity," E (column 2), for millimetre and kilogramme.
Rheydt is an ancient place, but its industrial importar e is of very recent growth, and it only received municipal rights in 1856.
Rose the third day, A, B, D, E (F omits " the third day " being a theological creed; the translation of C is uncertain).
Savonarola also proposed a court of appeal for criminal and political crimes tried by the Otto di guardia e balia; this too was agreed to, but the right of appeal was to be, not to a court as Savonarola suggested, but to the Greater Council, a fact which led to grave abuses, as judicial appeals became subject to party passions.
Set off ab = ac = 1/2p. Draw radii bd, Ce; draw fb, cg, making angles of e 753/4 with those radii.
Similarly the continued fraction given by Euler as equivalent to 1(e - 1) (e being the base of Napierian logarithms), viz.
Since dE=dH - pdv, we have evidently for the variation of the total heat from the second expression (8), dF=d(E + pv) =dH+vdp=Sde - (Odv/de - v)dp .
Since loge(I +x) =x-2x 2 -3x 3 - 4x4+&c., we have, by changing the sign of x, log e (I - x) _ - x - zx 2 - 3x 3 - x 4 - &c.; whence g 1 +x to=2(x+ix'+1x5+&c.), e l - x and, therefore, replacing x by p +q, log e q =2 p +q +3 () 3T ?
Since the amounts of heat supplied at constant pressure from E to F and from E to C are in the limit proportional to the expansions EF and EC which they produce, the ratio S/s is equal to the ratio ECÆF.
Since the dimensions of T are supposed to be very small in com d parison with X, the factor dy (--) is sensibly constant; so that, if Z stand for the mean value of Z over the volume T, we may write TZ y d e T ?
Since the two expressions (9) are the partial differential-coefficients of a single function E of the independent variables v and 0, we shall obtain the same result, namely d 2 E/d0dv, if we differentiate the first with respect to v and the second with respect to 0.
Slippers (irepauKai) were adopted from the East by women; shoes (E e13a&ES) were worn by the poorer classes.
Some of his statues, now in the Louvre, are carved out of Sinaitic dolerite, and on the lap of one of them (statue E) is the plan of his palace, with the scale of measurement attached.
Some vitality seeds retain vita for period of many years, though s e e of Y P Y Y ?
Somewhat later than " J," another writer, commonly referred to as " E," from his preference for the name Elohim (" God ") rather than " Jehovah," living apparently in the northern kingdom, wrote down the traditions of the past as they were current in northern Israel, in a style resembling generally that of " J," but not quite as bright and vivid, and marked by small differences of expression and representation.
Substituting L= Lo+ (S-s)(6-Bo), and integrating between limits, we obtain the result log e p=A+B/o+C log e 6,..
Sumerian has only postpositions instead of prepositions, which occur exclusively in Semitic. In this point also Sumerian is in accord with all other agglutinative idioms. Note Sumerian e-da, " in the house " (e, " house," +da, " in," by dissimilation), and compare Turkish ev, " house," de, " in," and evde, " in the house."
Taking 7 = 1, writing x/a for x and increasing a indefinitely, we I x x x x x have e x = - 1-1+2-3+2-5+...
Taking the axis of x for an instant in the normal through a point on the surface H = constant, this makes u = o, = o; and in steady motion the equations reduce to dH/dv=2q-2wn = 2gco sin e, (4) where B is the angle between the stream line and vortex line; and this holds for their projection on any plane to which dv is drawn perpendicular.
Taking the successive key-notes D, A, E, B, it is found that besides small and negligible differences, each introduces a new sharp, and so we get the five sharps, C, D, F, G, A, represented nearly by the black keys.
That layer C A E presses against and pushes forward the next layer and so on.
That the pre-Deuteronomic sources are to be identified with the Judaean (J, or Yahwist) and Ephraimite (E, or Elohist) strands of the Hexateuch is, however, not certain.
That to the west is surrounded by a semicircular colonnade, leaving an open "paradise" (E) between it and the wall of the church.
The A reprieve till the end of 1892 followed, funds having Question of been raised through the efforts of Bishop Tucker E vacuation, by the Church Missionary Society and friends.
The alloy of the point e is the ternary eutectic; it deposits the three metals simultaneously during the whole period of its solidfication and solidifies at a constant temperature.
The amount of heat absorbed in any small change of state, as from E to G in fig.
The application of the first law leads immediately to the equation, II=E - E,+W, .
The auroral data are from Table E of Tromholt's catalogue (5), with certain modifications.
The Battle with Amalek at Rephidim.-This incident is derived from E, but is clearly out of place in its present context.
The bit of wood e must be gently withdrawn, care being taken that the bud adheres wholly to the bark or shield, FIG.
The cartesian equation referred to the axis and directrix is y=c cosh (x/c) or y = Zc(e x / c +e x / c); other forms are s = c sinh (x/c) and y 2 =c 2 -1-s 2, being the arc measured from the vertex; the intrinsic equation is s = c tan The radius of curvature and normal are each equal to c sec t '.
The chief significance of the Balaam narratives for the history of the religion of Israel is the recognition by J and E of the genuine inspiration of a non-Hebrew prophet.
The church here is of the Cistercian t e YP with a short chancel of two squares, and transepts with three eastward chapels to each, divided by solid walls (222).
The conditions may then remain those of equilibrium along the curve f E, but before reaching f the solution may become supersaturated with B and deposit B crystals spontaneously.
The corrections of s e are important, as they are based (according to a note by that scribe, at the end of Esther) on an early copy which had been corrected by, Pamphilus, the disciple of Origen, friend of Eusebius and founder of a library at Caesarea.
The corresponding solid figure, in its most general form, is such as would be constructed to represent the relation of a magnitude E to two magnitudes F and G of which it is a function; it would stand on a plane base, and be comprised within a cylindrical boundary whose cross-section might be of any shape.
The current of water enters into the sub-pallial space at the spot marked e in fig.
The curved surfaces take the place of fl e the lens in fig.
The directed line whose length is a, and which makes an angle 0 with the real (positive) unit line, is expressed by a (cos 0+i sin e), where i is regarded as +1,/ - 1.
The displacement will consist of an infinitesimal rotation e about some axis through U, whose direction-cosines are, say, 1, m, n.
The displacer (E),which takes its motion through a rod (I) from a rocking lever (F) connected by a short link to the crank-pin, is itself the regenerator, its construction being such that the air passes up and down through it as in one of the original Stirling forms. The cooler is a water vessel (G) through which water circulates from a tank (H).
The E the Bta, ovos and the are also forbidden to contract a second marriage.
The energy E and the total heat F are functions of the temperature only, by equations (9) and (I I), and their variations take the form dE = sdO, d F = Sd0.
The equation of energy is dQ=dE+pdv, (17) expressing that the total energy dQ is used partly in increasing the internal energy of the gas, and partly in expanding the gas against the pressure p. If we take p = RNT/v from equation (14) and substitute for E from equation (16), this last equation becomes dQ 2 (n +3)RNdT +RNTdv (18) which may be taken as the general equation of calorimetry, for a gas which accurately obeys equation (14).
The equation of virtual work is then formed by taking moments about C, D, E, F of the extraneous forces FIC 2 which act at C, D, E, F, respectively.
The evidence, However, afforded (a) by the parallel version of Deuteronomy and (b) by the literary analysis of J and E not only fails to support this tradition, but excites the gravest suspicions as to the originality both of the form and of the position in which the Decalogue now appears.
The exact relation of gonidia and hyphae has been investigated e specially by Bornet and also by Hedlund, and very considerable differences have been shown to exist in different genera.
The expression for the change of intrinsic energy E between any given limits poOo to po is readily found by substituting these values of the specific heats in equations (II) or (13), and integrating between the given limits.
The fact that C 1 does not give the true area is due to the fact that in passing from one extremity of the top of any strip to the other extremity the tangent to the trapezette E, _- changes its direction.
The first logarithms to the base e were published by John Speidell in his New Logarithmes (London, 1619), which contains hYPerbolic log sines, tangents and secants for every minute of the quadrant to 5 places of decimals.
The first traces of " E " are found in the life of Abraham, in parts of Gen.
The formula employed by P is "and Pharaoh's heart was strong (pin)," or, "and Pharaoh made strong (p'in) his heart," as in E, but it is distinguished from E's phrase by the addition of "and he hearkened not unto them as Yahweh had spoken."
The Fourth Year Was Bissextile, And The Dominical Letters Were F, E; The Following Year D, And So On.
The government was now reconstituted under the protection of the French agents; the balia was abolished, its very name having been rendered odious by the tyranny of Spain, and was replaced by a similar magistracy styled capitani del popolo e reggimento.
The h L lower Mississippi receives no large tributary from the T e ower east, but two important ones come from the west; the Mississippi Arkansas drainage area being a little less than that River.
The heat absorbed in isothermal expansion from vo to v at a temperature 0 is equal to the work done by equation (8) (since d0 =o, and 0(dp/d0)dv =pdv), and both are given by the expression RO log e (v/vo).
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).
The image formed at P is viewed through the eye-piece at E, which may be of the Huygenian or Ramsden type.
The In- stituto Historico e Geographico Brazileiro, though devoted chiefly to historical research, has rendered noteworthy service in its encouragement of geographical exploration and by its publication of various scientific memoirs.
The increment of this area (or the decrement of the negative area E--04) at constant temperature represents the external work obtainable from the substance in isothermal expansion, in the same way that the decrement of the intrinsic energy represents the work done in adiabatic expansion.
The industry of the e place is almost wholly concerned with the preparation of wine, in which a large export trade is done.
The integration of the several terms may then be effected by the formula e y dy =r(4+2)=(4 - i)(4-2)...
The integration with regard to y may similarly (in the particular example) be replaced by the operation ak(I+3E'-+3E'2+E'3), where E' denotes the change of y into y + k.
The intrinsic energy, E, is similarly represented by the area DZ'Vd under the adiabatic to the right of the isometric Dd.
The Krajewski crusher has two such E steel rolls, with V-shaped corrugations extending longi tudinally across them.
The last expression in terms of k/k' is very simple, but the first is more useful in practice, as the quantities actually measured are E, C, 1, q, and the difference of temperature.
The later parts of E show a great degeneration in language, and a querulous tone due to the sufferings of the native population under the harsh Norman rule; "but our debt to it is inestimable; and we can hardly measure what the loss to English history would have been, if it had not been written; or if, having been written, it had, like so many another English chronicle, been lost."
The liberals were in power from 1871 to 1888 continuously, but a Catholic-anti-revolutionary ministry under Baron Mackay held office from 1888 to 1891, and again a coalition ministry was formed in 1901 with Dr Kuyper at its h e ad.
The linear width of the band (e) is the increment of which alters p by 27r, so that e =27r /tr.
The literary criticisms, generally distinguished by keen and independent judgment, and t e excerpts, vary considerably in length.
The loads at D', E, due to unit weight on the rail girder are (p-n)/p and n/p. The reaction at B' is {(p- n)xi+n(xi+p)}' /pi.
The logarithm is then obtained by use of the formula d l d2 l d3 2 log e (x+d) = log e x-f- - x2+3 x3 - &c., in which of course the object is to render dlx as small as possible.
The magnifying power obviously depends on the proportion of the focal length of the object-lens to that of the eye-lens, that is, magnifying power where F is the focal length of the object-lens and e that of the eye-lens.
The magnifying power of the telescope is = Ff /ex, where F and f are respectively the focal lengths of the large and the small mirror, e the focal length of the eye-piece, and x the distance between the principal foci of the two mirrors (=Ff in the diagram) when the instrument is in adjustment for viewing distant objects.
The main points of difference are that in D, E (1) a series of northern annals have been incorporated; (2) the Bede entries are taken, not from the brief epitome, but from the main body of the Eccl.
The master and his scholars were called Peripatetics (ol Ert Tov 7reptlredrov), certainly from meeting, like other philosophical schools, in a walk (7repL7raros), and perhaps also, on the authority of Hermippus of Smyrna, from walking and talking there, like Protagora s s and his followers as described in Plato's Protagoras (314 E, 315 e).
The masters he had to serve were the dieci di liberta e pace, who, though subordinate to the signoria, exercised a separate control over the departments of war and the interior.
The mathematical function log x or log x is one of the small group of transcendental functions, consisting only of the circular functions (direct and inverse) sin x, cos x, &c., arc sin x or sin-' x,&c., log x and e x which are universally treated in analysis as known functions.
The Menina e moga of Bernardim Ribeiro, a tender pastoral story inspired by saudade for his lady-love, probably moved Montemor or Montemayor (q.v.) to write his Diana, and may some fifty years later have suggested the Lusitania transformada to Fernao Alvares do Oriente, who, however, like Ribeiro, owes some debt to Sannazaro's Arcadia.
The ministry therefore resigned, and on the 14th of October Abreu e Sousa fomed a new cabinet, which arranged with Great Britain a modus vivendi for six months, pending the conclusion of another agreement.
The mixture is fed in continuously to the central pan (e), whence it overflows into the compartments (c'), (c 2), (c 3) successively until it reaches the circumference, where it is discharged continously by o and into the collecting-box (q), being now converted into salt-cake.
The name " Hebrew " is derived, through the Greek `E$3paios, from `ibhray, the Aramaic equivalent of the Old Testament word `ibhri, denoting the people who commonly spoke of themselves as Israel or Children of Israel from the name of their common ancestor (see JEws).
The narrative of E relative to the delivery of these laws has disappeared, 6 but xxiv.
The narrative was first printed at Pesaro in 1513, in what Apostolo Zeno calls lingua inculta e rozza.
The nature of the reproduction consists in the rays proceeding from a point 0 being united in another point 0'; in general, this will not be the case, for E', vary if, 77 be constant, but x, y variable.
The nervous paths in the brain and cord, as they attain completion, Toes Ank,e Knee
The next that deserve mention are the Giornale enciclopedico (1806) of Naples, followed by the Progresso delle scienze (1833-1848) and the Museo di scienze e letteratura of the same city, and the Giornale arcadico (1819) of Rome.
The number of molecules of the first kind of gas, whose components of velocity lie within the ranges between u and u+du, v and v+dv, w and w+dw, will, by formula (5), be v?l (h 3 m 3 /7 3)e hm (u2+v2+w2)dudvdw (9) per unit volume.
The observer's eye is applied to the small telescope E, which (by means of prisms numbered I, 2, 3, 4) views the vernier attached to the cross-head simultaneously with the hour circle attached to the upper end of the polar axis.
The octave above is c' d'e' f' g' a' b' c".
The Order of St Maurice and St Lazarus (SS Maurizio e Lazzaro), is a combination of two ancient orders.
The parallel collection of E is preserved in xx.
The periodical excess e may arise either from variations in the effort exerted by the prime mover, or from Variations in the resistance of the work, or from both these causes combined.
The Phoenician alphabet was an alphabet of consonants only, but all Greek alphabets as yet known agree in employing A, E, I, 0, Y as vowels.
The piece K is parallel to G H, and both of them are furnished at their ends with small pieces of flexible wire that they may touch the pins E, F in certain points of their revolution.
The pins E, F rise out of the back of the fixed plates A and C, at unequal distances from the axis.
The points E and F are fixed.
The Prior A T h e Analytics then are concerned with a formal logic to niytics.
The pulley E is driven from an axle of the carriage.
The quantity denoted by e is the series, I I I+ I + i.2 +1.2.3+1.2.3.4 + the numerical value of which is, 2.71828 18284 59 0 45 2 353 6 02874.
The ranks of scientists include the cosmographer Pedro Nunes (Nonius), a famous mathematician, and the botanist Garcia da Orta, whose Colloquios dos simples e drogas was the first book to be printed in the East (1563), while the form of Aristotelian scholastic philosophy known as Philosophia conimbricensis had a succession of learned exponents.
The ratio p is given by e"` e, where e= 2.718; µ is the coefficient of friction and 0 the angle, measured in radians,, subtended by the arc of contact between the rope and the wheel.
The reading micrometers e, f also serve to measure, independently, the separation of the segments, by scales attached to the slides; such measurements can be employed as a check on those made by the screws.
The relations of s e to Pamphilus are studied by Bousset in " Textkritische Studien zum N.T."
The residual liquid would thus become richer in B, and the tem perature and composition would pass along the curve till E, the eutectic point, was reached.
The Resistance R Was About 9 Ohms, And The Potential Difference E Was Varied From Three To Six Clark Cells, Giving A Rate Of Heat Supply About 2 To 6 Watts.
The result of performipg both operations, in order to obtain the volume, is the result of the operation denoted by the product of these two expressions; and in this product the powers of E and of E' may be dealt with according to algebraical laws.
The resultant electric force E at that point is then obtained by differentiating V, since E = - dV/dx, and E is in the direction in which V diminishes fastest.
The resultant force due to these two pointcharges must then be in the direction CP, and its value E is the vector sum of the two forces along AP and BP due to the two point-charges.
The ri entral tract was a lower plain, covered with loose ashes and e riarked by a few pools of hot and saline water.
The rocking-bar consists of a carrier a fixed to the cradle, a rockingbar d pivoted to the carrier at e, a sight bar f carrying the sights and sighting telescope.
The rounded form ofy is found with the value of G in R EC E I, which is probably the dative of rex.
The same result follows if the work W =RT log e ?'
The short vowels e, ire wanting; in their place the old a sound still appears as Sanskrit, e.g.
The Siemens and Halske ozonizer, in form somewhat resembling the old laboratory instrument, is largely used in Germany; working with an alternating current transformed up to 650o volts, it has been found to give 280 grains or more of ozone per e.
The sign x was kept in the western group for the guttural spirant in E, which was written X*; but, as this spirant occurred nowhere else, the combination was often abbreviated, and X was used for X precisely as in the Italic alphabets we shall find that F =f develops out of a combination FH.
The simplest form of wave, so far as our sensation goes - that is, the one giving rise to a pure tone - is, we have every reason to suppose, one in which the displacement is represented by a harmonic curve or a curve of sines, y=a sin m(x - e).
The stamens are diadelphous, nine of them being united by their filaments f, while the uppermost one (e) is free; st, stigma, c, calyx.
The standard modern work on Savonarola is Pasquale Villari's, La Storia di Fra Girolamo Savonarola e de' suoi tempi (Florence, 1887) based on an exhaustive study of the original authorities and containing a number of new documents (English translation by Linda Villari, London, 1889).
The substance whose volume is to be determined is placed in the cup PE, and the tube PC is immersed in the vessel of mercury D, until the mercury reaches the mark P. The plate E is then placed on the cup, and the tube PC raised until the surface of the mercury in the tube stands at M, that in the vessel D being at C, and the height MC is measured.
The substantive occurs in an inscription of the Arvalian brotherhood (Marini, Gli Atti e Monumenti de' fratelli Arvali, p. 639),but is frequent only in ecclesiastical Latin.
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.
The sun shining, he fixed a round glass speculum (orbem e vitro) in a window-shutter, and then closing it the images of outside objects would be seen transmitted through the aperture on to the opposite wall, or better, a white paper screen suitably placed.
The superintendent, who is a naval officer, has to investigate the magnetic character of the ships, to point out the most suitable positions for the compasses when a ship is designed, and subsequently to keep himself informed of their behaviour from the tin g e of the ship's first trial.
The symbol e 0 behaves exactly like i in ordinary algebra; Hamilton writes I, i, j, k instead of eo, el, e2, es, and in this notation all the special rules of operation may he summed up by the equalities = - I.
The telescope is attached to one end of this axis and a counterpoise e to the other.
The theorem for angle-bisection which Vieta used was not that of Archimedes, but that which would now appear in the form I - cos 0 = 2 sin e 20.
The two achromatic lenses, C and D, bring the rays to a focus on the plane surface of the large lens, E, forming an image there.
The two courts are divided by the main buildings of the monastery, including the church, the sanctuary (A), divided from B, the monks' choir, by a screen with two altars, the smaller cloister to the south (S) surrounded by the chapter-house (E), the refectory (X) - these buildings occupying their normal position - and the chapel of Pontgibaud (K).
The two systems of logarithms for which extensive tables have been calculated are the Napierian, or hyperbolic, or natural system, of which the base is e, and the Briggian, or decimal, or common system, of which the base is io; and we see that the logarithms in the latter system may be deduced from those in the former by multiplication by the constant multiplier /loge io, which is called the modulus of the common system of logarithms.
The usual empirical assumption is that u21ui= e(ufui), (41) where e is a proper fraction which is constant for the same two bodies.
The vowel i could become e as de = di, &c. Consonantal variation is most common.
The vowel sounds ai, oi, ui have become e, o, u; and a, o, u before the finals d and n are now et, o, ii.
The wines grown in the Rheingau, Rheinhessen and in parts of the Palatinate are generally known by the name of Rhine wines, although e many of these are actually produced on tributaries of that river.
Their conventionality sets the lyrics of Cruz e Silva on a lower plane, but in the Hyssope he improves on the Lutrin of Boileau.
Then bearing in mind that a= (I/4x1-)dV/dn, and p =-(1/4xr)VV, we have finally E 2 c/v=2 f f v.-dS+ 2J J J Vp dv.
Then follows the treatment of oligarchy, democracy, commonwealth and tyranny, and of the various powers of government (0), and independent investigation of revolution, and of the means of preserving states (E), and a further treatment of democracy and oligarchy, and of the different offices of the state (Z), and finally a return to the discussion of the right form of constitution (II, 0).
Then MA'B'N is a right trapezium, whose area is equal to that of Cabd; and it is related to the latter in such a way that, if any two lines parallel to AC and BD meet AB, CD, MN, A'B', in E, G, P, E', and F, H, Q, F', respectively, the area of the piece PE'F'Q of the right trapezium 'B.
Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y Ml dx 2 = EI' where M is the bending moment and I the amount of inertia of the beam at D, and E is the coefficient of elasticity.
Then w e may be termed the uniform load per ft.
Then, if we take ordinates Kb, Lg, Mc, Nd, Pf, equal to B'B, GG', C'C, D'D, FF', the figure abgcdfe will be the equivalent trapezoid, and any ordinate drawn from the base to the a LM N P e X top of this trapezoid will be equal to the portion of this ordinate (produced) which falls within the original figure.
There is only one fairly reliable treatment, that by serum therapeutics, the injection of considerable quantities of serum of animals which have e?
These are usually divided into three groups, the Central (the watershed between the two passes named), the Western or French, and the Eastern or Italian; in the following lists the initials " C," " W," and " E " show to which group each peak and pass belongs.
These cells are f - - imbedded in the peri pheral parenchyma, E"- and lead into convo luted excretory tubes _ that form an anasto- - mosis opening to the exterior by a pore at the " hinder " end of the body.
These congresses have been supplemented by national congresses in ' See Annuaire du mouvement pacifaste pour l'anne'e 1910, published by the Bureau International de la Paix, at Bern.
These furnaces possess a large cylindrical shell (e), lined with fire-bricks, and made to revolve round its horizontal axis by means of a toothed wheel fixed on its exterior; (if) are tire-seats holding tires (gg), which work in friction rollers (h).
These results were given by Lambert, and used by him to !prove that r and ir 2 are incommensurable, and also any commensurable power of e.
These three classes he distinguished as 5(=Bcati 7 Krt), e (=ebayyeXtov) and a (= euroQroXos).
These verses must be assigned to E, for in xvii.
They hay e large heads, projecting incisors, no ears, almost functionless eyes and moderately long tails; the skin, with the exception of a few hairs on the body and frinr-es on the feet, being naked.
They may have found in some places a soil already prepared by more ancient tenets which had been preserved in spite of th'e persecution of the official Church, and handed down from the period of primitive Christianity.
This coincides with the equation of motion of a simple pendulum [E 13 (15)] of length 1, provided 1= hf/h.
This gives an average value of the conductivity over the range, but it is better to observe the temperatures at three distances, and to assume k to be a linear function of the temperature, in which case the solution of the equation is still very simple, namely, 0+Ze6 2 =a log r+b, (3) where e is the temperature-coefficient of the conductivity.
This indicates the appearance of a new compound, which should exist pure at E, the next maximum, and, led by these considerations, Roozeboom discovered and isolated a previously unknown hydrate, Fe 2 C1 6 7 H 2 0.
This is done by the little crank B on the axle of the fly-wheel, acting through the rod C, and the bent lever D, which forms a toggle-joint at E with the vertical piece of metal below it.
This is equivalent to a steady pressure p i per unit area where +0 pi - zfff v J 1 (h3m3/ir3)e hm(u2+v2+w2)mu2dudvdw.
This is the name preferred by the Elohistic writer (E) whose work is interwoven into the Old Testament narrative, and he is followed by the Deuteronomist school (D).
This may occur suddenly, as when the resistance is increased in the arterial system by a e on f sudden exertion or strain, and more slowly when the resistance is increased in the pulmonary circulation of the by inflammation of the respiratory passages.
This redactor, however, did not limit the Horeb covenant to the Decalogue, but retained E's legislation alongside of it.
This unit is called the supplement of E, and denoted by IE.
This value of 0 is the same for all parabolas which pass through D and E and have their axes at right angles to KL.
Through the eyepiece of the bent 1 telescope E' another hour circle attached to the lower end of the polar axis can be seen; thus an assistant is able to direct the telescope by a handle at H to any desired hour angle.
Thus e 1 e 2 = - e2ei, and if q, q are any two quaternions, qq is generally different from q'q.
Thus in arithmetical calculations if the base is not expressed it is understood to be io, so that log m denotes log n m; but in analytical formulae it is understood to be e.
Thus locally many different gods e to be viewed as the creators of the world.
Thus the contribution to the total impulsive pressure exerted on the area dS in time dt from this cause is mu X udtdS X (11 3 m 3 /,r 3)e hm (u2+v2+w2 )dudvdw (I o) The total pressure exerted in bringing the centres of gravity of all the colliding molecules to rest normally to the boundary is obtained by first integrating this expression with respect to u, v, w, the limits being all values for which collisions are possible (namely from - co too for u, and from - oo to + oo for v and w), and then summing for all kinds of molecules in the gas.
Thus the Roman letters E and F are liable to be confused in capital script, but not in cursive (e, f), C, G, in capitals, c, e in the cursive writing called Caroline minuscule, c, t, in the angular cursive of the 13th century and later.
Thus we find Paciolus calling it l'Arte Magiore; ditta dal vulgo la Regula de la Cosa over Alghebra e Almucabala.
Thus, taking the vowels alone; e = a by the principle .of umlaut.
Thus, to solve the equation ax e +bx+c = o, we consider, not merely the value of x for which ax 2 +bx+c is o, but the value of ax e +bx+c for every possible value of x.
To find the distance s through which a brake, exerting the friction F, must rub in order to stop a machine having the total actual energy E at the moment when the brake begins to act, reduce, by the principles of 96, the various efforts and other resistances of the machine which act at the same time with the friction of the brake to the rubbing surface of the brake, and let R be their resultantpositive if resistance, negative if effort preponderates.
To find the total heat H of a vapour, we have H =E+p(v - b), where the intrinsic energy E is measured from the selected zero 9 0 of total heat.
To maintain e µe constant, compensation for variation of µ is made by inversely varying 0.
To multiply A 1 by a scalar, we apply the rule A = A1E = E (Eat) ea, and similarly for division by a scalar.
To take a simple case, suppose a shaft supported on two bearings to carry a disk of weight W at its centre, I and let the centre of gravity of the disk be at a distance e from the axis of rotation, this small distance being due to imperfections of material or faulty construction.
To the more strictly exegetical lectures the names E nyncmtc, 4-07-Amara, i nynTuca, O o€t, were sometimes applied.
Trained at the Ecole des Chartes and the Ecole des Hautes Etudes, he made his first appearance in the world of scholarship as the author of an excellent book called Etudes sur l'industrie et la classe industrielle a Paris au XIII e et au XI V e siècle (1877).
Tullii Ciceronis de republica quae supersunt appeared at Rome in 1822; Scriptorum veterum nova collectio, e vaticanis codicibus edita in 1825-1838; Classici scriptores e vaticanis codicibus editi in 1828-1838; Spicilegium romanum in 1839-1844; and Patrum nova bibliotheca in 1845-1853.
Turning to the left bank, there is the same high-level canal from the upper system irrigating the basins K, P and L, as well as the large basin E in such years as it cannot be irrigated from the main canal.
Two days after the accession of King Joseph, Sebastiao Jose de Carvalho e Mello, better known as the marquess of Pombal (q.v.), was appointed secretary of state for foreign affairs and war.
Under Britishrule Colombo has shared in the prosperity brought to the island by the successive industri e s of coffee and teaplanting.
Until the accession of Adrian IV., however, there had been considerable periods of tran- German quillity, years even of unbroken peace and alliance E with the Germanic power.
Vieira was a man of action, while the oratorian Manoel Bernardes lived as a recluse, hence his sermons and devotional works, especially Luz e Calor and the Nova Floresta, breathe a calm and sweetness alien to the other, while they are even richer treasures of pure Portuguese.
We have already seen that, in the earliest alphabets of Thera and Corinth, the ordinary symbol for E in the Ionic alphabet was used for.
Weil, Etudes sur l'antiquite grecque (1900), and C. Giarratani, Tirteo e i suoi carmi (1905).
When he was nine years old his name was placed upon the title page of the famous Eleganze della lingua Toscana e Latina.
When the cylinder r =a is moved with velocity U and r =b with velocity U 1 along Ox, = U b e - a,1 r +0 cos 0 - U ib2 - 2 a, (r +Q 2 ') cos 0, = - U be a2 a2 (b 2 - r) sin 0 - Uib2 b1)a, (r - ¢2 sin 0; b and similarly, with velocity components V and V 1 along Oy a 2 b2 ?= Vb,_a,(r+r) sin g -Vi b, b2 a, (r+ 2) sin 0, (17) = V b, a2 a, (b2 r) cos 0+Vi b, b, a, (r- ¢ 2) cos h; (18) and then for the resultant motion z 2zz w= (U 2 + V2)b2a a2U+Vi +b a b a2 U z Vi -(U12+V12) b2 z a2b2 Ui +VIi b 2 - a 2 U1 +Vii b 2 - a 2 z The resultant impulse of the liquid on the cylinder is given by the component, over r=a (§ 36), X =f p4 cos 0.ad0 =7rpa 2 (U b z 2 + a 2 Uib.2bz a2); (20) and over r =b Xi= fp?
When the threads reach the air they branch in a tree-like manner, and each branch (sporangiophore) carries one or more ovate sporangia, as shown at E, E, E, which fall off and are carried by the wind.
When the value of dyldx is not very small E is no longer constant, but is rather greater in compression and rather less in extension than -yP. This can be seen by considering that the relation between p and is given by a curve and not by a straight line.
While admitting, therefore, that there are several facts in favour of the theory of an African origin of the Bovidae, final judgment Notation to E to t from from or even f 8va balsa.
While the coin is being moved the hanger D is held firmly by the forceps E to prevent the pan from being pushed sideways.
Wissowa, Religion and Kultus der Romer, p. 355 seq.; monograph by Wackermann (Hanau, 1888); C. Pascal, Studii di antichita e mitologia (1896).
With medium or moderately hard steel all rivet holes should be drilled, or punched e in.
With the exception of his description of the French Revolution, which was chiefly a political manifesto, all his early works refer to the middle ages - De La feodalite, des institutions de Saint Louis et de l'influence de la legislation de ce prince (1822); La Germanic au vin e et au ix' siecle, sa conversion au christianisme, et son introduction dans la societe civilisee de l'Europe occidentale (1834); Essai sur la formation territoriale et politique de la France depuis la fin du xi e siècle jusqu'et la fin du xv e (1836); all of these are rough sketches showing only the outlines of the subject.
X is the mirror rotating about the point E, and placed so that (if EB is the horizontal direction in which the rays are to be reflected) (I) the normal CE to the mirror is jointed to BC at C and is equal in length to BE, (2) the rod DBC passes through a slot in a rod ED fixed to, and in the plane of, the mirror.