This website uses cookies to ensure you get the best experience. Learn more

viz.

viz. Sentence Examples

  • There are three courts of appeal, viz, at Brussels, Ghent and Liege.

    6
    4
  • Positive law, at least in progressive societies, is constantly tending to fall behind public opinion, and the expedients adopted for bringing it into harmony therewith are three, viz, legal fictions, equity and statutory legislation.

    3
    0
  • Lotze publicly and formally denied that he belonged to the school of Herbart, though he admitted that historically the same doctrine which might be considered the forerunner of Herbart's teachings might lead to his own views, viz.

    0
    0
  • Why not interpret at once and render intelligible the common conception originating in natural science, viz.

    0
    0
  • Let us now imagine what degree of transparency of air is admitted by its molecular constituents, viz.

    0
    0
  • English equity has one marked historical peculiarity, viz.

    0
    0
  • At the Cape of Good Hope, after more than 200,000 pointings had been made, the screw-errors were redetermined; the results proved the truth of the above conclusions, viz.

    0
    0
  • There is some reason, however, to suppose that before this the capital of the Monomotapa was situated much farther south, and it may plausibly be identified with the most extensive ruins as yet known, viz.

    0
    0
  • Their form, however, is not sufficiently characteristic to warrant this identification, though it may be noted that the nearest approximation to phallic worship is found amongst the most typical of African peoples, viz.

    0
    0
  • One of these is within the area of the old city, viz.

    0
    0
  • A city occupying approximately the same site had been the capital of one of the principalities into which China was divided some centuries before the Christian era; and during the reigns of the two Tatar dynasties that immediately preceded the Mongols in northern China, viz.

    0
    0
  • There were eleven city gates, viz.

    0
    0
  • Two classes of boilers are chiefly used in hot-water heating installations, viz.

    0
    0
  • Bale is also the authority for another assertion that figures in what has been aptly termed the poet's "traditional biography," viz.

    0
    0
  • Methodism began in a revival of personal religion, and it professed to have but one aim, viz.

    0
    0
  • The use of the slips for the purpose of multiplication is now evident; thus to multiply 2085 by 736 we take out in this manner the multiples corresponding to 6, 3, 7, and set down the digits as they are obtained, from right to left, shifting them back one place and adding up the columns as in ordinary multiplication, viz.

    0
    0
  • These examples show that Napier was in possession of all the conventions and attributes that enable the decimal point to complete so symmetrically our system of notation, viz.

    0
    0
  • Thus he prints 63.0957379 as 630957379, viz.

    0
    0
  • the Presbyterian Church recognizes but one spiritual order, viz.

    0
    0
  • A second powerful influence was of a different kind, viz.

    0
    0
  • We omit, however, one of the most important, viz.

    0
    0
  • The number summoned was 151, viz.

    0
    0
  • Three small communities of Presbyterians maintain a separate autonomy in Ireland, viz.

    0
    0
  • The rich pastoral regions where dairy-farming and the fattening of cattle are carried on with most success, viz.

    0
    0
  • Bismuth is known to exist in all the Australian states, but up to the present time it has been mined for only in three states, viz.

    0
    0
  • The number of vessels engaged in the over-sea trade of Australia in 1905 was 2112, viz.

    0
    0
  • The value of the external trade was £95,188,000, viz.

    0
    0
  • The theory which meets this difficulty is that which has in its favour the greatest weight of evidence, viz.

    0
    0
  • In their own language they usually have only three numerals, viz.

    0
    0
  • This sacrament supplements that of penance (viz.

    0
    0
  • In one respect Plautus must be regarded as distinctly original, viz.

    0
    0
  • (P, Loth-12th century), viz.

    0
    0
  • Two propylene glycols, C3H302, are known, viz.

    0
    0
  • The Titan was the first type of large portable crane in which full use was made of a truly horizontal movement of the load; for the purpose for which the type is designed, viz.

    0
    0
  • A very interesting modification was also proposed in the same letter, viz.

    0
    0
  • In January 1901 he telegraphed without difficulty by electric waves from the Isle of Wight to the Lizard, viz.

    0
    0
  • There were now three main political tendencies, viz, the union of north Italy under Charles Albert and an alliance with the pope and Naples, a federation of the different states under their present rulers, and a united republic of all Italy.

    0
    0
  • The conventions, concluded for a period of sixty years, but terminable by either party after twenty or forty years, retained for the state the possession of the lines (except the southern railway, viz.

    0
    0
  • The Brahman priest (brahma) being thus the recognized head of the sacerdotal order (brahma), which itself is the visible embodiment of sacred writ and the devotional spirit pervading it (brahma), the complete realization of theocratic aspirations required but a single step, which was indeed taken in the theosophic speculations of the later Vedic poets and the authors of the Brahmanas (q.v.), viz.

    0
    0
  • The ritual recognizes four principal priests (ritvij), each of whom is assisted by three subordinates: viz.

    0
    0
  • The sacrificial ritual recognizes two kinds of srauta sacrifices, viz.

    0
    0
  • - we must agree with those historians of religion who affirm that the world has known only a single living monotheism, viz.

    0
    0
  • Might one suggest that organisms seem at least to be a working up of inorganic matter for new ends, viz.

    0
    0
  • Still it has a value for him if taken not as an argument, but rather as the expression of an immediate conviction; viz.

    0
    0
  • In these, however, the religious was avowedly subordinate to a political motive, viz.

    0
    0
  • 9), but this word, which is translated par fumeur in the French version, only indicates that the preparation of fragrant unguents and incense formed, even at that early date, a part of pharmacy, since the drugs mentioned, viz.

    0
    0
  • Psilophytes.I-Iere are placed plants found in savannah Igetation, viz.

    0
    0
  • The English translation renders the definition thus: " Geography is that part of mixed mathematics which explains the state of the earth and of its parts, depending on quantity, viz.

    0
    0
  • Physical geography he viewed as a summary of nature, the basis not only of history but also of " all the other possible geographies," of which he enumerates five, viz.

    0
    0
  • The arch alone sends 66r out processes, viz.

    0
    0
  • This is a state of things which exists nowhere else; for except in Australia, where a few indigenous and peculiar low non-Oscines are found, and in the Nearctic country, whither one family of Clamatores, viz.

    0
    0
  • Huxley has urged with his wonted perspicuity the alliance of these two regions as Notogaea, basing his opinion, besides other weighty evidence, in great measure on the evidence afforded by the two main sections of the Galli, viz.

    0
    0
  • Both subregions possess, besides others, the following characteristic birds: Ratitae, viz.

    0
    0
  • His name, in which the Greek Avbpovucos is combined with the gentile name of one of the great Roman houses, while indicative of his own position as a manumitted slave, is also significant of the influences by which Roman literature was fostered, viz.

    0
    0
  • Free or native sulphur, known also as "virgin sulphur," occurs in connexion with volcanoes and in certain stratified rocks in several modes, viz.

    0
    0
  • (Whether one calls the unknowable a revealed mystery or an unexplained and inexplicable fact makes little difference.) William Paley (1743-1805) borrows from many writers; he borrows Lardner's learning and Butler's " particular evidence for Christianity," viz.

    0
    0
  • By other accidents Item By accidents occurring during shunting operations, viz.

    0
    0
  • word for a sacrificial offering, and is so used elsewhere in the same Gospel, viz.

    0
    0
  • But after dinner (or breakfast), and when we rise from table, we use the prayer given above, viz.

    0
    0
  • It is necessary here to advert to a subject much debated during recent years, viz.

    0
    0
  • of Egypt (Oncken series), p. 257, viz.

    0
    0
  • Times of peace meant national disintegration and the lapse of Israel into the Canaanite local cults, which is interpreted by the redactor as the prophets of the 8th century would have interpreted it, viz.

    0
    0
  • (which Budde, Moore and other critics consider to belong to the two sources of the narratives in Judges, viz.

    0
    0
  • 8), where the Levite is specially associated with another apparatus of inquiry, viz.

    0
    0
  • 7 the hozeh is mentioned in a sense analogous to the ro'eh or " seer," and coupled with the gosem or " soothsayer," viz.

    0
    0
  • Nowhere in the Old Testament does the doctrine taught by Amos of Yahweh's universal power and sovereignty 1 Viz.

    0
    0
  • A further consequence directly followed from the limitation as to sanctuary, viz.

    0
    0
  • 19), as we have already seen, and in the general practice of the regal period, there was no limitation as to the priesthood, but a definite order of priesthood, viz.

    0
    0
  • 23 foil.) we find one shepherd ruling over united Israel, viz.

    0
    0
  • In the Second Punic War it was again reduced to half this weight, viz.

    0
    0
  • Thus if we consider the energyequation C +02 = CO 2+943 00 cal., and replace the symbols by the values of the intrinsic energy, viz.

    0
    0
  • 14-26), and the evidence for the conclusion that traditions originally of (north) Israelite interest were taken over and adapted to the later standpoint of Judah and Jerusalem (viz.

    0
    0
  • presupposes the desolation after that disaster, and some traces of these families are found in Nehemiah's time; and while the traditions know of a separation from Edom (viz.

    0
    0
  • This agrees substantially with the independent records of Nehemiah, and unless we assume two disasters not widely separated in date - viz.

    0
    0
  • The chapter of Merseburg contains five prelates, viz.

    0
    0
  • and 174° to 176° 10' W., and is broken into three groups, viz.

    0
    0
  • The origin is to be found in the initial letters of the names and titles of Jesus in Greek, viz.

    0
    0
  • the observance of Easter, viz.

    0
    0
  • The form q`tal illustrates one main peculiarity of Aramaic, as opposed to the other Semitic languages, viz.

    0
    0
  • Another chief characteristic of Aramaic appears in nouns, viz.

    0
    0
  • 2 With regard to this, Syriac has one great difference from Hebrew, viz.

    0
    0
  • If we consider the whole continent to be divided into three sections, viz.

    0
    0
  • Goodrich, endorsed by Lankester, led to the opinion that under the general morphological conception of "nephridium" were included two distinct sets of organs, viz.

    0
    0
  • The following families constitute the group, viz.

    0
    0
  • Earthworms are divided into the following families, viz.

    0
    0
  • The old idea of monarchy, viz.

    0
    0
  • " The infield (where wheat is sown) is generally divided by the tenant into four divisions or breaks, as they call them, viz.

    0
    0
  • The effects of a prolonged [[Table Ix]].-Estimated Annual Average Yield per Acre of Crops in spring and summer drought, like that of 1893, are exemplified in the circumstance that four corn crops and the two hay crops all registered very low average yields that year, viz.

    0
    0
  • An important step in this direction was taken in 1896, when the senior class for steers, viz.

    0
    0
  • Even among some Gastropoda (viz.

    0
    0
  • In several of the more primitive forms the same torsion occurs as in Streptoneura, viz.

    0
    0
  • The genital duct is now trifurcated or triaulic, a condition which is confined to certain Nudibranchs, viz.

    0
    0
  • First came the French princes, namely, the brothers of the emperor; six grand imperial dignities were also instituted, viz.

    0
    0
  • One land, however, has eclipsed all others in the Aegean by the wealth of its remains of all the prehistoric ages, viz.

    0
    0
  • Religion in the area seems to have been essentially the same everywhere from the earliest period, viz.

    0
    0
  • The lectures he delivered as professor form the substance of his two most important works, viz.

    0
    0
  • This (obviously valid) distinction logically involves the consequence that the object, or content, of knowledge, viz.

    0
    0
  • But, as society exists only for the proper development of persons, we have a criterion by which to test these institutions, viz.

    0
    0
  • The Primal Light unfolds himself by five great branches, viz.

    0
    0
  • Khulasa, " Quintessence"), or according to its fuller title `Enyaneuderashed'mabutha umassektha (" Songs and Discourses of Baptism and the Ascent," viz.

    0
    0
  • There are two great groups of schists, viz.

    0
    0
  • It must be admitted divisions, viz.

    0
    0
  • The hypodermis is composed of parts of two different kinds, viz.

    0
    0
  • The process of destruction of the larval tissues was first studied in the forms where metamorphosis is greatest and most abrupt, viz.

    0
    0
  • In connexion with the question whether metamorphosis has been gradually acquired, we have to consider two aspects, viz.

    0
    0
  • Endopterygota - of insects of the present epoch are descended from the predominant - if not the sole - group that existed in the Palaeozoic epoch, viz.

    0
    0
  • His Parable of the Wicked Mammon (1528), Obedience of a Christen Man (1528), in which the two great principles of the English Reformation are set out, viz.

    0
    0
  • The names of the months were the same as those used by the Nabataeans, Syrians and later Jews, viz.

    0
    0
  • viz.

    0
    0
  • The absolute and ultimate owner of all land is the crown, and the highest interest that a subject can hold therein - viz.

    0
    0
  • It is divided into three provinces, viz.

    0
    0
  • An objectionable feature of the system of allowing the vapour to escape from the still to the condenser through a loaded valve, viz: the irregularity of the distillation, is thus removed, and the benefits of regular vaporization and condensation under high pressure are obtained.

    0
    0
  • The second is common to all the Heteronemertines, as well as to Polia and Valencinia, and also comprehends three layers, of which, however, two are longitudinal, viz.

    0
    0
  • Soc., 1903, p. 524), who concluded that the cleansing power depended upon several factors, viz.

    0
    0
  • In 1332 a market on Wednesdays and a fair at the Feast of St Peter ad Vincula were granted to Alice de Lisle and in 1405 this market was ratified and three additional fairs added, viz.

    0
    0
  • GERMANIC LAWS Of those Germanic laws of the early middle ages which are known as leges barbarorum, we here deal with the principal examples other than Frankish, viz.

    0
    0
  • The site, which lies near the mouths of the three main passes over the eastern Taurus - viz.

    0
    0
  • With regard to the nutritive value of oatmeal, as compared with that of wheat flour, it contains a higher percentage of albuminoids than any other grain, viz.

    0
    0
  • It has rather more sugar, viz.

    0
    0
  • 5.4 - wheat having 4.2 - and a good deal more fat, viz.

    0
    0
  • There is however one feature which throughout the Mahommedan mosques in India is always found, viz.

    0
    0
  • The modern sense of the word, viz.

    0
    0
  • Lavoisier appears to have assumed that the composition of every chemical compound was constant, and the same opinion was the basis of much experimental inquiry at the hands of Joseph Louis Proust during 1801 to 1809, who vigorously combated the doctrine of Claude Louis Berthollet (Essai de statique chimique, 1803), viz.

    0
    0
  • C. Charles - viz.

    0
    0
  • Iodine unites with silver in the proportion of 126.97 parts to 107.93 parts of the latter, but it combines with chlorine in two proportions, viz.

    0
    0
  • Hitherto no explanation has been given of these exceptions to what appears to be a law of almost universal application, viz.

    0
    0
  • Three kinds of changes are to be distinguished, viz.

    0
    0
  • Hittorf, who carefully investigated the effects produced by heat; crystalline selenium possesses a very striking property, viz.

    0
    0
  • Oxyaldehydes and oxyketones (viz.

    0
    0
  • Therefore three di-derivatives are possible, viz.

    0
    0
  • Hence the positions occupied by the nitro groups in the two different nitrobrombenzoic acids must be symmetrical with respect to the carboxyl group. In 1879, Hubner (Ann., 1 95, p. 4) proved the equivalence of the second pair, viz.

    0
    0
  • By projecting Ladenburg's prism on a plane and numbering the atoms so as to correspond with Kekule's form, viz.

    0
    0
  • (7) (2) Phenanthrene is regarded by Armstrong as represented by (3), the lateral rings being benzenoid, and the medial ring fatty; Bamberger, however, regards it as (4), the molecule being (3) (4) entirely aromatic. An interesting observation by Baeyer, viz.

    0
    0
  • For substances of a difficultly combustible nature he adopted the method in common use to-day, viz.

    0
    0
  • The identity of the four valencies of the carbon atom follows from the fact that the heats of combustion of methane, ethane, propane, trimethyl methane, and tetramethyl methane, have a constant difference in the order given, viz.

    0
    0
  • It therefore appears that the difference between the heats of combustion of two adjacent members of a series of homologous compounds is practically a constant, and that this constant has two average values, viz.

    0
    0
  • Mossotti found a relation between the dielectric constant and the space actually occupied by the molecules, viz.

    0
    0
  • Meyer formulated these compounds as nitroximes or nitro-isnitroso derivatives, viz.

    0
    0
  • The former is white, but the whole of the extremities - viz.

    0
    0
  • Ravenstein's map of Ben Nevis (1887) first employed the colours of the spectrum, viz.

    0
    0
  • Penck on a scale of 1: i,000,000, which has been undertaken by the leading governments of the world, the ground is shown by contours at intervals of ioo metres (to be increased to 200 and Soo metres in mountainous districts); the strata are in graded tints, viz.

    0
    0
  • In the extreme east his information extended no further than that of Eratosthenes, viz.

    0
    0
  • Parmenides of Elea (544-430 B.C.) distinguishes five of these zones, viz.

    0
    0
  • Only two specimens of Roman cartography have come down to us, viz.

    0
    0
  • We have to deal thus with three types of these early maps, viz.

    0
    0
  • The contents of the following collections are more varied in their nature, viz.

    0
    0
  • It covers 697 sheets (or 488 of a " new series " in large sheets), and is published in three editions, viz.

    0
    0
  • Since 1898 the department has also published maps on a smaller scale, viz.

    0
    0
  • Hence Wisdom, the second Sephirah, and the beginning of development, when it proceeded from the Holy Aged (another name of the first Sephirah) emanated in male and female, for Wisdom expanded, and Intelligence, the third Sephirah, proceeded from it, and thus were obtained male and female, viz.

    0
    0
  • These two opposite potencies, viz.

    0
    0
  • Thus a trinity of units, viz.

    0
    0
  • "He pursued all sorts of occupations to support himself, viz.

    0
    0
  • Its salinity is comparable to that of the eastern basin of the Mediterranean, which is greater than that of the Black Sea, viz.

    0
    0
  • It is in and along the borders of this coast swamp region that most of the rice and much of the sugar cane 1 A sixth, less characteristic, might be included, viz.

    0
    0
  • Combination can be made in five directions, viz.

    0
    0
  • Nitrogen forms five oxides, viz.

    0
    0
  • Nitrogen combines with hydrogen to form ammonia, NH 3, hydrazine, N 2 H 4, and azoimide, N 3 H (qq.v.); the other known hydrides, N 4 H 4 and N5H5, are salts of azoimide, viz.

    0
    0
  • So long as the reserve was available it was drawn upon to supply the void; but when that also was exhausted recourse was had to expedients, such as the borrowing, or rather seizure, of the vakuf revenues (1622) and the sale of crown properties; then ensued a period of barefaced confiscation, until, to restore public confidence in some measure, state budgets were published at intervals, viz.

    0
    0
  • Under these regulations the revenues were divided into two categories, viz.

    0
    0
  • High authority in Constantinople put the true amount of the floating debt in1910-1911at the amount previously estimated, viz.

    0
    0
  • In view of these difficulties, the opinion which tended to assure the success of one at least of the great tasks before the council, viz.

    0
    0
  • Among the contents of this book we simply mention a trigonometrical chapter, in which the words sinus versus arcus occur, the approximate extraction of cube roots shown more at large than in the Liber abaci, and a very curious problem, which nobody would search for in a geometrical work, viz.

    0
    0
  • This problem evidently suggested the first question, viz.

    0
    0
  • By the state census of 1905 the population of the principal cities was as follows: Minneapolis, 261,954; St Paul, 197,023; Duluth, 64,942; Winona, 20,334; Stillwater, 12, 435; and Mankato, 10,996; by the same census four other cities, all in the mining region in the north-east, had passed the 5000 limit, viz.

    0
    0
  • Protestants have condemned these formulae as so much magic, and in this modern science tends to agree with them; but to orthodox Protestants at least Catholics have a perfect right to reply that, in taking this line, they are but repeating the accusation brought by the Pharisees against Christ, viz.

    0
    0
  • The typical obsidians exhibit the chemical peculiarities of the acid igneous rocks (viz.

    0
    0
  • These numbers agree with those indicated by theory, viz.

    0
    0
  • expression for the determinant becomes Z(-) k aitia2aa3y...anv, viz.

    0
    0
  • Similarly we have a development proceeding according to the elements contained in any row or in any column, viz.

    0
    0
  • From the theorem given above for the expansion of a determinant as a sum of products of pairs of corresponding determinants it will be plain that the product of A= (a ll, a22, ��� ann) and D = (b21, b 22, b nn) may be written as a determinant of order 2n, viz.

    0
    0
  • It is easy to see that the adjoint determinant is also 'symmetrical, viz.

    0
    0
  • Consider two binary equations of orders m and n respectively expressed' in non-homogeneous form, viz.

    0
    0
  • Resultant Expressible as a Determinant.-From the theory of linear equations it can be gathered that the condition that p linear equations in p variables (homogeneous and independent) may be simultaneously satisfied is expressible as a determinant, viz.

    0
    0
  • (x y m - x m y), ar _ y1(x y 2 - and substituting in the latter any root of f and forming the product, we find the resultant of f and d, viz.

    0
    0
  • The function Zap 1 a 2 P2 ...an n being as above denoted by a partition of the weight, viz.

    0
    0
  • Theorem.- The function symbolized by (n), viz.

    0
    0
  • The law of reciprocity shows that p(s) = zti (m 1te2tmtL3t) t=1 st It 2t 3t viz.: a linear function of symmetric functions symbolized by the k specifications; and that () St =ti ts.

    0
    0
  • One more relation is easily obtained, viz.

    0
    0
  • In the theory of forms we seek functions of the coefficients and variables of the original quantic which, save as to a power of the modulus of transformation, are equal to the like functions of the coefficients and variables of the transformed quantic. We may have such a function which does not involve the variables, viz.

    0
    0
  • If, however, F involve as well the variables, viz.

    0
    0
  • �; S = r A F(a 0, 711, a2,���bo, b l, b 2,���9���; xl, x2), viz.

    0
    0
  • If the forms be all linear and different, the function is an invariant, viz.

    0
    0
  • It will be apparent that there are four numbers associated with a covariant, viz.

    0
    0
  • It is essentially an operation performed upon the product of �two forms. If, then, we require the transvectants of the two forms f+Xf', 0+14', we take their product fc5+xf'95+,-ifct'+atif'cb', and the kth transvectant is simply obtained by operating upon each term separately, viz.

    0
    0
  • The process of transvection is connected with the operations 12; for?k (a m b n) = (ab)kam-kbn-k, (x y x y or S 2 k (a x by) x = 4))k; so also is the polar process, for since f k m-k k k n - k k y = a x by, 4)y = bx by, if we take the k th transvectant of f i x; over 4 k, regarding y,, y 2 as the variables, (f k, 4)y) k (ab) ka x -kb k (f, 15)k; or the k th transvectant of the k th polars, in regard to y, is equal to the kth transvectant of the forms. Moreover, the kth transvectant (ab) k a m-k b: -k is derivable from the kth polar of ax, viz.

    0
    0
  • It is (f = (ab) 2 a n-2 r7 2 =Hx - =H; unsymbolically bolically it is a numerical multiple of the determinant a2 f a2f (32 f) 2� It is also the first transvectant of the differxi ax axa x 2 ential coefficients of the form with regard to the variables, viz.

    0
    0
  • The Partial Differential Equations.--It will be shown later that covariants may be studied by restricting attention to the leading coefficient, viz.

    0
    0
  • The Binary Quadratic.-The complete system consists of the form itself, ax, and the discriminant, which is the second transvectant of the form upon itself, viz.: (f, f') 2 = (ab) 2; or, in real coefficients, 2(a 0 a 2 a 2 1).

    0
    0
  • The simultaneous system of two quadratic forms ai, ay, say f and 0, consists of six forms, viz.

    0
    0
  • The Binary Quartic.-The fundamental system consists of five forms ax=f; (f,f')2=(ab) 2axbx=Ax; (f,f')4=(ab) 4= 2; (f, 0)1= (ao) azsi = (ab) 2 (cb) a:b x c5 =1; (f 4) 4 = (as) 4 = (6) 2 00 2 (ca) 2 = j, viz.

    0
    0
  • Further, it is convenient to have before us two other quadratic covariants, viz.

    0
    0
  • T = (j, j) 2 jxjx; 0 = (iT)i x r x; four other linear covariants, viz.

    0
    0
  • Sylvester showed that the quintic might, in general, be expressed as the sum of three fifth powers, viz.

    0
    0
  • x x x To form an invariant or covariant we have merely to form a product of factors of two kinds, viz.

    0
    0
  • 157-176, 1888), viz.

    0
    0
  • Hence, excluding ao, we may, in partition notation, write down the fundamental solutions of the equation, viz.

    0
    0
  • Every symmetric function denoted by partitions, not involving the figure unity (say a non-unitary symmetric function), which remains unchanged by any increase of n, is also a seminvariant, and we may take if we please another fundamental system, viz.

    0
    0
  • Again, for the cubic, we can find A3(z) - -a6z6 1 -az 3.1 -a 2 z 2.1 -a 3 z 3.1 -a4 where the ground forms are indicated by the denominator factors, viz.: these are the cubic itself of degree order I, 3; the Hessian of degree order 2, 2; the cubi-covariant G of degree order 3, 3, and the quartic invariant of degree order 4, o.

    0
    0
  • Sylvester, Cayley and MacMahon succeeded, by a laborious process, in establishing the generators for 0=5, and 0=6, viz.: 5 15 531 1 -z 2.1-z 3.1-z 4.1-z 5 ' 1-z2.1-z3.1-z4.1-z5.1-z6' but the true method of procedure is that of Stroh which we are about to explain.

    0
    0
  • 1 Ab' Establishing The Ground Forms Of Degrees Order (I, O; I), (O, I; I), (I, I; O), Viz: The Linear Forms Themselves And Their Jacobian J Ab.

    0
    0
  • 1 Z2' The First Perpetuant Is The Last Seminvariant Written, Viz.: A O (B O B 2 3B O B 3) A L (Bi 2B0B2), Or, In Partition Notation, Ao(21) B (1)A(2)B; And, In This Form, It Is At Once Seen To Satisfy The Partial Differential Equation.

    0
    0
  • ViZ:- (iAi+2)a(3�3+12�2+1)b-...

    0
    0
  • By the rules we select the product A2B 3 B 2 Bi, giving the simplest perpetuant of weight 15, viz: (24) a (3212) b - (241)a(321)b+(2412)a(32)b; and thence the general form (2A2+4)a(3�3+12�2+11�1+ 2)b -...

    0
    0
  • The substitution for x, y in terms of X, Y is the most general linear substitution in virtue of the four degrees of arbitrariness introduced, viz.

    0
    0
  • sin w The fundamental fact that he discovered was the invariance of 2 COS w xy+y 2, viz.

    0
    0
  • Since +xZ=x x we have six types of symbolic factors which may be used to form invariants and covariants, viz.

    0
    0
  • The book itself falls into three obvious parts, viz.

    0
    0
  • (3) Marti (1904) abandons the attempt to explain the prophecy as a unity, and analyses it into three elements, viz.

    0
    0
  • Lead combines with oxygen to form five oxides, viz.

    0
    0
  • In the Assyro-Babylonian literature the name Akkadu appears as part of the royal title in connexion with Sumer; viz.

    0
    0
  • For these Lamarck proposed the name Hexapoda; but that name has been little used, and they have retained to this day the title of the much larger Linnaean group, viz.

    0
    0
  • (After Lankester, loc. cit.) the last pair of legs in both Scorpio and Limulus, viz.

    0
    0
  • It appears that the Malpighian tubes of Scorpio are developed from the mesenteron, viz.

    0
    0
  • From these we can pass by gradual transitions in two directions, viz.

    0
    0
  • It contains 36 genera, many of which are north temperate and three are represented in Britain, viz.

    0
    0
  • Both religions were of Oriental origin; they were propagated about the same time, and spread with equal rapidity on account of the same causes, viz.

    0
    0
  • The president is advised and assisted by a cabinet of six ministers, viz.

    0
    0
  • The modern Greek Church recognizes only two minor orders, viz.

    0
    0
  • Besides these there are two splendid national reserves, an hour's journey by rail from Sydney, viz.

    0
    0
  • It was proposed that the following districts should be transferred to Natal, viz.

    0
    0
  • ldtom, " I see " (definite, viz.

    0
    0
  • ver, " he beats "; veret, " he causes to beat "; vereget, " he beats repeatedly "; verint, " he beats a little "; verhet, " he can beat "; the mode of expressing possession by the tenses of the irregular verb lenni, " to be " (viz.

    0
    0
  • This involved not only the geometrical interpretation of negative quantities, but also the idea of continuity; this latter, which is the basis of modern analysis, leading to two separate but allied developments, viz.

    0
    0
  • 8d (3) The next step is to show more distinctly the unit we are dealing with (in addition to the money unit), viz.

    0
    0
  • The problem of finding the sum of r terms is aided by graphic representation, which shows that the terms may be taken in pairs, working from the outside to the middle; the two cases of an odd number of terms and an even number of terms may be treated separately at first, and then combined by the ordinary method, viz.

    0
    0
  • 21 }- &c. } It will be seen that the expression in curled brackets in each line after the first is obtained from the corresponding expression in the preceding line by a definite process; viz.

    0
    0
  • Comparing this with the table in �43 (iv.), and with formula (21), we see that the series expressing the sum may be regarded as consisting of two, viz.

    0
    0
  • But even so there are two distinct operations concerned in the-3, viz.

    0
    0
  • are there supposed to be obtained in one way only, viz.

    0
    0
  • The divisions in �� 50-52 have been supposed to be performed by a process similar to the process of arithmetical division, viz.

    0
    0
  • At last on Dec. 9 1919 the Supreme Council (Clemenceau, Polk and Crowe) addressed a memorandum to Italy, outlining new terms of settlement - viz.

    0
    0
  • Hautecoeur, L'Italie sous Orlando (1919); two collections of documents, viz.

    0
    0
  • He proceeded further to introduce into his enumeration of animals and plants a series of groups, viz.

    0
    0
  • He is also responsible for the formulation of an important principle, called by Haeckel " the biogenetic fundamental law," viz.

    0
    0
  • The Phylum Appendiculata similarly branches into sub-phyla, viz.

    0
    0
  • On the other hand, the studies which occupied Darwin himself so largely subsequently to the publication of the Origin of Species, viz.

    0
    0
  • The tendency of the proportions in the offspring of 'PP, 2PN, INN is to give in a series of generations a regular reversion from the hybrid form PN to the two pure races, viz.

    0
    0
  • In order to obtain the effect of the primary wave, as, retarded by traversing the distance r, viz.

    0
    0
  • With few exceptions, abruptness can occur only in the presence of the first term, viz.

    0
    0
  • Since the maxima occur when u = (m +1)7r it nearly, the successive values are not very different from 4 4 4 &c The application of these results to (3) shows that the field is brightest at the centre =o, =0, viz.

    0
    0
  • Again, if we compare the complete circle with a narrow annular aperture of the same radius, we see that in the latter case the first dark ring occurs at a much smaller obliquity, viz.

    0
    0
  • Observing through a telescope with light perpendicularly incident, he showed that the position of any ray was dependent only upon the grating interval, viz.

    0
    0
  • Previously to the introduction of the plate we have an effect corresponding to wave-lengths closely grouped around the principal wave-length, viz.

    0
    0
  • One or two examples have already attracted our attention when considering Fresnel's zones, viz.

    0
    0
  • The constant parts in (14), viz.

    0
    0
  • If V be the value of v corresponding to CA, viz.

    0
    0
  • Hence, as CA increases, viz.

    0
    0
  • When V =0, viz.

    0
    0
  • In order to apply these ideas to the investigation of the secondary wave of light, we require the solution of a problem, first treated by Stokes, viz.

    0
    0
  • Administratively the state is divided into the city, or metropolitan district, and four rural domains (or Landherrenschaften), each under a senator as praeses, viz.

    0
    0
  • Robertson Smith, are opposed to the dating of any psalms of the second collection in the Maccabaean period, that, since they are post-exilic, there is one and only one time in the Persian period to which they can be referred, viz.

    0
    0
  • 1 Of the various explanations that have been given of Selah the only one which possesses any probability is that given independently by Baethgen and others, viz.

    0
    0
  • The earlier monstrances followed the usual shape of these reliquaries, viz.

    0
    0
  • In the 16th century the present shape was adopted, viz.

    0
    0
  • There now remains the question which is to be put before you at the meeting of the 6th of January, viz.

    0
    0
  • At B, where the ray leaves the drop, the deviation is the same as at A, viz.

    0
    0
  • It is probable then that there is a triple popular etymology in the various forms of writing the name Assur; viz.

    0
    0
  • The dressed ore is smelted with carbon by one of two main methods, viz.

    0
    0
  • It seems, in short, to have originally formed the preface to the small group of prophecies which now follows it, viz.

    0
    0
  • Paul Bedjan, most of which have been cited above, nearly all the texts recently edited are included in one or other of three comprehensive series now running - viz.

    0
    0
  • relative amounts of the acids in the mixture and the time of duration of treatment of the cotton varies somewhat in different works, but the underlying idea is the same, viz.

    0
    0
  • and discharge into the Gulf of California, viz.: the Altar, or Asuncion, Sonora, Yaqui and Mayo.

    0
    0
  • From this definition we have the following important fundamental property which belongs to all hodographs, viz.

    0
    0
  • Its main principles were that it was useless to consider the causes of a disease, or even the organ affected by the disease, and that it was sufficient to know what was common to all diseases, viz.

    0
    0
  • - The progress of medicine in England during this period displays the same characteristics as at other times, viz.

    0
    0
  • Extensive changes in the English law of highways have been made by various highway acts, viz.

    0
    0
  • The management and maintenance of the highways and bridges is vested in county road trustees, viz.

    0
    0
  • Grades are made, whenever possible, in favour of the load, and of such degree that the power required to haul out the loaded cars shall be approximately equal to that for hauling back the empties, viz.

    0
    0
  • A certain number of the most promising of these, from the purely optical point of view, had unfortunately to be abandoned for practical use owing to their chemical instability, and the problem of Fraunhofer, viz.

    0
    0
  • The substances employed are the same as those used for the manufacture of sheet-glass, viz.

    0
    0
  • He now received, at Dacre in Cumberland, the submission of all the kings of the island, viz.

    0
    0
  • There are four other interesting churches in Louvain, viz.

    0
    0
  • The passage, thus interpreted, lends additional weight to the correctness of Dr Ethe's reconstruction of the date of the Rushanainama, viz.

    0
    0
  • Of the last two engagements he wrote accounts, viz.

    0
    0
  • In August the Spaniards took Prato by storm and committed hideous atrocities on the inhabitants; Florence was in a panic, a group of the Ottimati, or nobles, forced Soderini to resign and leave the city, and Cardona's new terms were accepted, viz.

    0
    0
  • Mahmud's policy was the converse of that recommended by Machiavelli, viz.

    0
    0
  • I), viz.

    0
    0
  • The water is brought by an aqueduct direct from the Alps, viz.

    0
    0
  • - xiv., viz.

    0
    0
  • This well-known Arab term for coast-belt (which in the plural form reappears as the familiar "Swahili" of Zanzibar) is applied to a third division of Tunisia, viz.

    0
    0
  • It is this most fatal doubt which evokes the Shepherd's sternest rebuke; and he meets it with the ultimate religious appeal, viz.

    0
    0
  • Boiling under reduced pressure has one very serious drawback, viz.

    0
    0
  • Of 80 comets seen during the 20 years ending 1893, Professor Herschel found that only two, viz.

    0
    0
  • The Speculum Majus, the great compendium of all the knowledge of the middle ages, as it left the pen of Vincent, seems to have consisted of three parts only, viz.

    0
    0
  • is devoted to the artes mechanicae, viz.

    0
    0
  • It was at Pisa, in the church of Santa Cristina, on the fourth Sunday in Lent (April I), while rapt in ecstasy after the communion, that Catherine's greatest traditional glory befell her, viz.

    0
    0
  • Of his Epistles there is one MS., viz.

    0
    0
  • The Trematodes are divided into three orders, primarily distinguished by the character of their suckers, viz.: Heterocotylea, Aspidocotylea and Malacocotylea.

    0
    0
  • As the last of the four great prophets of the 8th century he undoubtedly contributed to that religious and ethical reformation whose literary monument is the Book of Deuteronomy.2 The remainder of the book bearing the name of Micah falls into two main divisions, viz.

    0
    0
  • Bib.) finds nothing by Micah in iv.-vii., thinks these chapters have crystallized round two central passages, viz.

    0
    0
  • It is therefore apparent that a mixed salt and ester, for example KO 2 C�CH 2 �CH 2 �CO 2 C 2 H 5, would give only two ions, viz.

    0
    0
  • 26 from the household of Tiberius, through the influence of Sejanus, to be procurator over part of the imperial province of Syria, viz.

    0
    0
  • 5 1918 invited Prof. Voldemar to form the first independent administration on non-party lines and reach an understanding with the national minorities resident within the still indeterminate frontiers, viz.

    0
    0
  • This was the maximum expansion possible under the conditions prevailing in 1920 -I, of a crisis in the political relations with Poland; but the maintenance of this establishment for any length of time appeared to be impracticable, since on this basis the army absorbed close on 60% of the revenue of the State, viz.

    0
    0
  • Three other cases of practical interest present themselves, viz.

    0
    0
  • Of these processes, two only are of special importance, viz.

    0
    0
  • But certain forces were at work which were destined to bring about a great revival, viz.

    0
    0
  • One case is particularly aggravating, viz.

    0
    0
  • In modern times two factors have accelerated this process, viz.: (I) the building of railways, which have developed commerce to a very great degree and favoured the large towns at the expense of the small; and (2) the invention of machinery, which has greatly increased the possibility of division of labour and manufactures on a large scale.

    0
    0
  • With these territories Umberto commanded three of the great Alpine passes, viz.

    0
    0
  • Victor Emmanuel had married in 1842 Maria Adelaide, daughter of the archduke Rainer, who bore him several children, viz.

    0
    0
  • In 1867 he married Princess Maria Vittoria dal Pozzo della Cisterna, who bore him three sons, viz.

    0
    0
  • The real population of Malta, viz.

    0
    0
  • Teachers and professors who were weak in English, lawyers, newspaper men and others, combined to deprive these reforms of their legitimate consequence, viz.

    0
    0
  • The plant called American aloe, Agave americana, belongs to a different order, viz.

    0
    0
  • The Constitutional History of England takes up the subject at the point at which it had been dropped in the View of the Middle Ages, viz.

    0
    0
  • On the characteristic narratives which appear to have originated in Ephraim (viz.

    0
    0
  • Soc. 43, p. 361) an important correction which had been overlooked by previous experimenters with Regnault's method, viz.

    0
    0
  • A few months after his arrival (seventh year of Artaxerxes, 458 B.C.) he instituted a great religious reform, viz.

    0
    0
  • 7) represents them: " for thus they may be moved without suffering any false light to come in between them; and by this way of removing them the distance between their centres may be very conveniently measured, viz.

    0
    0
  • To Bouguer in 1748 is due the true conception of measurement by double image without the auxiliary aid of a filar micrometer, viz.

    0
    0
  • (d) The scales are made of iridio-platinum instead of silver, and the magnifying power of the reading microscope is increased fourfold (viz.

    0
    0
  • There is only one practical published investigation of Airy's micrometer that is worthy of mention, viz.

    0
    0
  • p. 150) suggested and used a valuable improvement for producing round images, instead of the elongated images which are otherwise inevitable when the rays pass through a divided lens of which-the optical centres are not in coincidence, viz.

    0
    0
  • The present writer has successfully used a similar plan in measuring position angles of a Centauri with the heliometer, viz.

    0
    0
  • They are liable to the objection that their employment is limited to the measurement of very small angles, viz.

    0
    0
  • There are also four smaller continental enclosed seas each with a single channel of communication with the ocean, viz.

    0
    0
  • Thus in the Central American Sea below 93 o fathoms, the depth on the bar, no water is found at a temperature lower than that prevailing in the open ocean at that depth, viz.

    0
    0
  • These may, however, all be considered as modifications of two systems, viz.

    0
    0
  • The Epistle of Polycarp. - Though Irenaeus states that Polycarp wrote many "letters to the neighbouring churches or to certain of the brethren" 4 only one has been preserved, viz.

    0
    0
  • Knowledge is not mere knowledge of itself, but of being, and of the one being that truly is, viz.

    0
    0
  • A question of considerable difficulty was at that time occupying the attention of the church courts, viz.

    0
    0
  • German New Guinea The German protectorate of New Guinea, so called after the island which contributes the greatest area, comprehends, besides Kaiser Wilhelms Land, the islands which are now commonly called the Bismarck Archipelago - viz.

    0
    0
  • apart, viz.

    0
    0
  • According to the census of 1900 there were 33 incorporated cities in Massachusetts, of which 8 had between 12,000 and 20,000 inhabitants; 5 between 20,000 and 25,000 (Everett, North Adams, Quincy, Waltham, Pittsfield); 2 io between 25,000 and 50,000 (Holyoke, Brockton, Haverhill, Salem, Chelsea, Malden, Newton, Fitchburg, Taunton, Gloucester); 7 between 50,000 and ioo,000 (Lowell, Cambridge, Lynn, Lawrence, New Bedford, Springfield, Somerville); and 3 more than roo,000 inhabitants, viz.

    0
    0
  • may be assumed, and when these are planted at Defneh it is noteworthy that this is also closely associated with a Jewish colony (viz.

    0
    0
  • These defects were all overcome in later patterns and an important addition made, viz.

    0
    0
  • With smooth-bore arms of short range, the soldier needed little more, in the way of sights, than the rough equivalent of the dispart of cannon, viz.

    0
    0
  • Dogma is doctrine, viz.

    0
    0
  • I), viz, a narrative (vii.

    0
    0
  • The one point on which we have indicated a doubt, viz.

    0
    0
  • The main divisions of the book are plain, viz.

    0
    0
  • It consists of two well-defined tracts, viz.

    0
    0
  • The process of determining the area or volume of a given figure therefore involves two separate processes; viz.

    0
    0
  • - The methods of mensuration fall for the most part under one or other of three main heads, viz.

    0
    0
  • The data are usually the breadths H and K and either (i) the edges of the minor briquettes, viz.

    0
    0
  • or (ii) the mid-ordinates of one set of parallel faces, viz.

    0
    0
  • There is, however, a certain class of cases in which no subdivision of intervals will produce a good result; viz.

    0
    0
  • In Great Britain and Europe generally three species occur, viz.

    0
    0
  • Whatever may be thought of their application of these principles, there is no mistaking the deeply religious aim of these separatists for conscience' sake, viz.

    0
    0
  • It was only in September 15 9 2 that it elected officers, viz.

    0
    0
  • While its principle of congregational autonomy has been gaining ground in the more centralized systems, Another disability, acutely felt by all Nonconformists, created by the act of 1662, viz.

    0
    0
  • Two varieties of phosphate rock are recognized in these districts, viz.

    0
    0
  • constructing a square of twice the area of a given square (which follows as a corollary to the Pythagorean property of a right-angled triangle, viz.

    0
    0
  • Yet mysticism persists, as the intuitive and emotional apprehension of the most specifically religious of all truths, viz.

    0
    0
  • a (iI) We may find here the value of this when we have a train of waves in which the displacement is represented by a sine curve of amplitude a, viz.

    0
    0
  • Regnault used two different distances, viz.

    0
    0
  • 1280 metres arid 2445 metres, obtaining from the first U 0 =331.37 met./sec.; but the number of experiments over the longer distance was greater, and he appears to have put more confidence in the result from them, viz.

    0
    0
  • The laws of reflection of sound are identical with those of the reflection of light, viz.

    0
    0
  • This change of direction is termed refraction, and takes place, no doubt, according to the same laws as does the refraction of light, viz.

    0
    0
  • If th' maximum pressure change is determined, the amplitude is given by equation (20), viz.

    0
    0
  • Now momentum is transferred in two ways, viz.

    0
    0
  • A more reasonable theory seems to be that which suggests that, in the East, the stole was originally introduced as that which it was when it first appears in the 22nd canon of Laodicea, viz.

    0
    0
  • th e Hebrew Canon, viz.

    0
    0
  • To the phrase" ye shall be as gods "a later writer may have added" knowing good and evil,"but" to be as gods "originally meant" to live the life of gods - wise, powerful, happy."The serpent was in the main right, but there is one point which he did not mention, viz.

    0
    0
  • The consolidating Merchant Shipping Act of 1854 and subsequent legislation so much increased the department that in 1866 it was divided into three, viz.

    0
    0
  • Originally the epithet was meant to be taken strictly, viz.

    0
    0
  • Unconsciously, too, they correspond to the apostolic type of writing in another respect, viz.

    0
    0
  • If thus related to the Apologists of the middle of the 2nd century, the Epistle to Diognetus has also points of contact with one of the most practical and least literary writings found among our Apostolic Fathers, viz.

    0
    0
  • - This is too large to indicate even in outline, but is given fully in the chief modern editions, viz.

    0
    0
  • 3 Grotius put forward what has been called the Governmental Theory, viz.

    0
    0
  • The adjacent buildings, viz.

    0
    0
  • Loofs in 1905 there has also come to our knowledge the most valuable evidence of all, Nestorius's own account of the whole difficulty, viz.

    0
    0
  • A train of ideas which strongly impressed itself on Clerk Maxwell's mind, in the early stages of his theoretical views, was put forward by Lord Kelvin in 1858; he showed that the special characteristics of the rotation of the plane of polarization, discovered by Faraday in light propagated along a magnetic field, viz.

    0
    0
  • In 1564, after long negotiations, Bern restored to the duke part of its conquests of 1536, viz.

    0
    0
  • This confirms the view that the Hebrew kipper, which appears to be a late word (specially employed in Ezek, and P.), originally had the meaning which belongs to the Aramaic viz.

    0
    0
  • Thus by the express will of their peoples, the various lands represented in the Czechoslovak Republic, viz.

    0
    0
  • The divergences in ritual and organization, the principle underlying all the various ecclesiastical unions, viz.

    0
    0
  • Scepticism with regard to reason, on the other hand, depends on an insight into the irrational character of the relation which we chiefly employ, viz.

    0
    0
  • The hetman, after election, received from the king of Poland direct the insignia of his office, viz.

    0
    0
  • It is imperfect, and only contains the early books, viz.

    0
    0
  • Besides the Latin histories of Wapowski and Gwagnin (Guagnini, of Italian origin), we have the first historical work in Polish by Martin Bielski, a Protestant, viz.

    0
    0
  • By his will he founded the Boyle lectures, for proving the Christian religion against "notorious infidels, viz.

    0
    0
  • quartz and felspar, which under ordinary conditions form more equidimensional crystals, would assume lenticular forms. In the necessary co-operation of these three causes, viz.

    0
    0
  • He also wrote two poems, not in any way remarkable, viz.

    0
    0
  • It polymerizes, giving isodibutylene, C 8 H 16, and isotributylene, C12H24, liquids which boil at 110-113° and 178-181° C. Amylene, C5H10, exists in five isomeric forms, viz.

    0
    0
  • - Numerous salts and preparations of potassium are used in medicine; viz.

    0
    0
  • The book of Isaiah falls into two clearly distinguished parts, viz.

    0
    0
  • There follow (in the Hebrew Bible) the five short books, which, as explained above, are now known by the Jews as the Megilloth, or " Rolls," viz.

    0
    0
  • and Nehemiah, written by themselves in the first person;, viz.

    0
    0
  • represent one and the same text, viz.

    0
    0
  • In their written form, however, the earlier Targums, viz.

    0
    0
  • According to tradition the law was translated into Greek during the reign of Ptolemy Philadelphus (284-247 B.C.), and, though the form (viz.

    0
    0
  • For a long time Biblical study lacked the first essential of sound critical method, viz.

    0
    0
  • 40, " The sojourning of the children of Israel in the land of Egypt, and in the land of Canaan, was 430 years," reducing the period of the sojourn in Egypt to half of that stated in the Hebrew text, viz.

    0
    0
  • If these dates are correct, there must be some error in the ages assigned to Ahaz and Hezekiah at their accession, viz.

    0
    0
  • if the regnal years of the kings of Israel from Jeroboam toJehoram be added together, they will be found to amount to 98, while if those of the kings of Judah for the same period (viz.

    0
    0
  • The second class is questioned, but accepted by the majority; viz.

    0
    0
  • It must suffice, therefore, to deal rather broadly with the subject, and to refer for fuller details to the special encyclopaedias, viz.: Hamburger's RealEncyc. fiir Bibel and Talmud, and the very elaborate articles in the Jewish Encyclopedia.

    0
    0
  • Historical or narrative Midrash is exemplified in the " canonical " books Daniel, Esther, Jonah and Ruth, and in the " apocryphal " stories of Daniel (viz.

    0
    0
  • (1664), from the French of Roland Frcart; The History of the three late famous Imposters, viz.

    0
    0
  • "howler"), which is derived from a Piel of nabu, viz.

    0
    0
  • pre-exilian, Hebrew, viz.

    0
    0
  • To the mass these signs are unintelligible, because they deem it impossible that Yahweh should utterly cast off His chosen nation; but to those who know His absolute righteousness, and confront it with the people's sin, the impending approach of the Assyrian can have only one meaning and can point to only one issue, viz.

    0
    0
  • 2 Recent critics, however, viz.

    0
    0
  • Wellhausen, Nowack, Marti and Harper, as well as others, have denied the genuineness of the concluding verses in Amos, viz.

    0
    0
  • the Old Testament prophets) and the apostles (viz.

    0
    0
  • It appears to be desirable, as the Committee of Council on Education have done, to recognize only the legal systems of weights and measures -- the imperial and metric. The Education Code of Regulations for 1900 prescribes that the tables of weights and measures to be learned include those only which are in ordinary use, viz.

    0
    0
  • For, in the first place, it is dominated by one all-pervading interest - the religious; and in the second place, it introduced a new first principle into philosophy, viz.

    0
    0
  • There is no series for log x proceeding either by ascending or descending powers of x, but there is an expansion for log (I +x), viz.

    0
    0
  • 0001)I 1 oN (Byrgius), viz.

    0
    0
  • If we consider only the logarithms of numbers, the main line of descent from the original calculation of Briggs and Vlacq is Roe, John Newton, Sherwin, Gardiner; there are then two branches, viz.

    0
    0
  • He then by means of a simple proportion deduced that log (I 00000 00000 00000 I)=o 00000 00000 00000 0 434 2 944 81 90325 1804, so that, a quantity 1.00000 00000 00000 x (where x consists of not more than seventeen figures) having been obtained by repeated extraction of the square root of a given number, the logarithm of I 00000 00000 00000 x could then be found by multiplying x by 00000 00000 00000 04342 To find the logarithm of 2, Briggs raised it to the tenth power, viz.

    0
    0
  • he obtained the logarithm of this quantity, viz.

    0
    0
  • From the formula for log e (p/q) we may deduce the following very convergent series for log e 2, log e 3 and log e 5, viz.: log e 2=2(7P +5Q +3R), log e 3 =2(11P+8Q +5R), log e 5=2(16P+12Q+7R), where P 1 +3?1) 3 5 s (31) &C.

    0
    0
  • Lagarde (Orientalia, ii.) ingeniously conjectured that the chapter typified the suppression of Phoenician (viz.

    0
    0
  • The Mongols, Tibetans, Chinese and other neighbouring nations have a cycle or series of twelve animals, viz.

    0
    0
  • in Aztec, viz.

    0
    0
  • Dr Lehmann's archaeological and linguistic researches, especially in Salvador and Nicaragua, also enabled him to prove another very important fact, viz.

    0
    0
  • " interior" regarded from the capital, viz.

    0
    0
  • (3) The old ecclesiastical words to be kept, viz.

    0
    0
  • (14) These translations to be used when they agree better with the text than the Bishops' Bible; viz.

    0
    0
  • In his own view the turning points seem to have been - (1) the transition from Fichte's method to the more objective conception of nature - the advance, in other words, to Naturphilosophie; (2) the definite formulation of that which implicitly, as Schelling claims, was involved in the idea of Naturphilosophie, viz.

    0
    0
  • In the notion of a teleological connexion and in that which for spirit is its subjective expression, viz.

    0
    0
  • Engel was a voluminous writer on the subjects with which his name is connected, but his statistical papers are mostly published in the periodicals which he himself established, viz.

    0
    0
  • lewisi, viz.

    0
    0
  • According to Schaudinn's account, he was dealing with two separate Trypanosome parasites of the Little Owl (Athene noctua), viz.

    0
    0
  • It is certain, for instance, that the three types of form which he discovered, viz.

    0
    0
  • For the extremely exiguous proportions of some chasubles actually in use, which have been robbed of all the beauty of form they ever possessed, less respectable motives have sometimes been responsible, viz.

    0
    0
  • The Roman province of Galatia, constituted 25 B.C., included the greater part of the country ruled by Amyntas, viz.

    0
    0
  • The 16th-century reformers strove to avoid the literalism of the words " This is my body," accepted frankly by the Roman and Eastern churches, and urged a Receptionist view, viz.

    0
    0
  • (8) There appears to be more evidence than is commonly supposed to show that a practice analogous to that of Justin Martyr's day has been adopted from time to time in England, viz.

    0
    0
  • These Acta are not indeed what they give themselves out for, viz.

    0
    0
  • These uncertainties raise a greater one of much significance, viz.

    0
    0
  • Walker, superintendent of the censuses of 1870 and 1880, the remarkable fact that such reduction coincided with a cause that was regarded as certain to quicken the increase of population, viz, the introduction of a vast body of fresh peasant blood from Europe, afforded proof that in this matter of population morals are far more potent than physical causes.

    0
    0
  • And by the Federal Constitution it is also the suffrage for Federal elections, viz, elections of representatives in Congress and of presidential electors.

    0
    0
  • In all the states except one, viz.

    0
    0
  • Since the Spanish War of 1898 there have been added to the United States various transmarine dominions, r~one of which has been formed into a state, or is likely to be so formed for a good while to come; and there is also one small piece of original area of the United States, viz, the District of Columbia, which is outside any state, because it contains the national capital.

    0
    0
  • There are also certain powers which, though not absolutely withdrawn from the states, can be exercised only with the consent of the national legislature, viz.

    0
    0
  • But the two others are almost (if now not quite) peculiar to the United States, viz, to select candidates for office and to procure places of emolument for party workers.

    0
    0
  • With a system of three circles it is readily seen that there are six centres of similitude, viz.

    0
    0
  • The exact geometrical evaluation of the second quantity, viz.

    0
    0
  • 2 and 16 of book xii., viz.

    0
    0
  • Accordingly, we find in Vieta a formula for the ratio of diameter to circumference, viz.

    0
    0
  • von Vega in 1789, using series like Machin's, viz.

    0
    0
  • Other works of Apollonius are referred to by ancient writers, viz.

    0
    0
  • Classification Of Lamellibranchia The classification originally based on the structure of the gills by P. Pelseneer included five orders, viz.: the Protobranchia in which the gill-filaments are flattened and not reflected; the Filibranchia in which the filaments are long and reflected, with non-vascular junctions; the Pseudo-lamellibranchia in which the gill-lamellae are vertically folded, the interfilamentar and interlamellar junctions being vascular or non-vascular; the Eulamellibranchia in which the interfilamentar and interlamellar junctions are vascular; and lastly the Septibranchia in which the gills are reduced to a horizontal paltition.

    0
    0
  • and x.; or several treatises on the same subject very like one another, viz.

    0
    0
  • But Some Slight Adjustments Will Occasionally Be Needed For The Reasons Before Assigned, Viz.

    0
    0
  • Recorde published several works upon mathematical subjects, chiefly in the form of dialogue between master and scholar, viz.: - The Grounde of Artes, teachinge the Worke and Practise of Arithmeticke, both in whole numbers and fractions (1540); The Pathway to Knowledge, containing the First Principles of Geometry.

    0
    0
  • 50) by constructing the different weights of different shapes, viz.

    0
    0
  • In blowpipe work only two of these four parts are made use of, viz.

    0
    0
  • The history of its dissociation is connected with that of the class, viz.

    0
    0
  • Nicolas (first dragoman at the French legation at Tehran) has published several important translations, viz.

    0
    0
  • The thread so ejected forms the silk of commerce, which as wound in the cocoon consists of filaments seriposited from two separate glands (discovered by an Italian naturalist named Filippi) containing a glutinous or resinous secretion which serves a double purpose, viz.

    0
    0
  • The spinning is done by exactly the same methods as cotton or worsted, viz.

    0
    0
  • Apart from the chapels in the royal palaces, Dresden contains in all 32 churches, viz.

    0
    0
  • Wace and Benoit de Sainte-More compiled their histories at his bidding, and it was in his reign that Marie de France composed her poems. An event with which he was closely connected, viz.

    0
    0
  • In spite of the incontestable popularity enjoyed by this class of literature, we have only some half-dozen fableaux written in England, viz.

    0
    0
  • Down to 1910 no suggestion of mediation had actually been carried out, but a number of cases of arbitration had been tried by the Hague Court, created by the Hague Peace Convention (see [[International arbitration), and one case, viz.

    0
    0
  • Otherwise, private agencies of a standing character which contribute towards the promotion of peace may be divided into four classes, viz.

    0
    0
  • The Prayer Book represents in a much condensed and abbreviated form the four chief ancient service books, viz.: the Missal, Breviary, Manual and Pontifical.

    0
    0
  • Some of the chief points of difference between this and subsequent Prayer Books were the following: Matins and Evensong began with the Lord's Prayer, and ended with the third collect; there were no alternative Psalm-canticles for Benedictus, Magnificat and Nunc Dimittis; the Athanasian Creed was introduced after the Benedictus on six festivals only, and in addition to the Apostles' Creed; the Litany was placed after the Communion service, for which an alternative title was given, viz.: " commonly called the Mass."

    0
    0
  • Three acids of this empirical formula are known, viz.

    0
    0
  • 145-160), viz.

    0
    0
  • The story is in itself by no means improbable, while the dates assigned to the first invasion by various Welsh, Gaulish and English authorities, with one exception all fall within about a quarter of a century, viz.

    0
    0
  • In addition to slaves, who in early times seem to have been numerous, we find in Wessex and apparently also in Mercia three classes, described as twelfhynde, sixhynde and twihynde from the amount of their wergilds, viz.

    0
    0
  • Besides these terms there were others which were probably in use everywhere, viz.

    0
    0
  • A quite opposite view has, it is true, found favour with many scholars, viz.

    0
    0
  • On the whole, then, the earliest traditions in East and West alike agree in effect, viz.

    0
    0
  • Their situation was so dangerous just because it combined inward debility and outward pressure, both tending to the same result, viz.

    0
    0
  • From the imperfect and conflicting data which are alone available one positive result can be gathered, viz.

    0
    0
  • - As far back as the time of Tacitus we hear of three social classes, viz.

    0
    0
  • Two of them in particular - the two who had the longest reigns - viz.

    0
    0
  • Some are Christian and some are not Arab: viz.

    0
    0
  • He examined the opacity of the air for sound in connexion with lighthouse and siren work, and he finally clinched the proof of what had been already substantially demonstrated by several others, viz.

    0
    0
  • Among the initials, five, viz.

    0
    0
  • The most stable basic hydroxides are those of the alkali metals, viz.

    0
    0
  • lithium, sodium, potassium, rubidium and caesium, and of the alkaline earth metals, viz.

    0
    0
  • Thus we shall be able to specify the system completely when the number of variables, viz.

    0
    0
  • r (n - I) + 2, is equal to the number P of equations, viz.

    0
    0
  • The proportions of the interior are noble, and in the church are hung three of the masterpieces of Rubens, viz.

    0
    0
  • In 1560, a year which marked the highest point of its prosperity, six nations, viz.

    0
    0
  • Glauber devised the process in common use to-day, viz.

    0
    0
  • It comprised two separate Doric buildings of different date but identical form, viz.

    0
    0
  • The remains or sites within the Altis may conveniently be classed in three main groups, viz.

    0
    0
  • It stood to the east of the latter, and had a different orientation, viz.

    0
    0
  • Two - viz.

    0
    0
  • It consists mainly of 3 parts, viz.

    0
    0
  • Salaries (traitements) are attached to the military and naval recipients of the order when on the active list, viz.

    0
    0
  • revived the order, and in 1847 it received its present constitution, viz.

    0
    0
  • The badge of both orders is essentially the same, viz.

    0
    0
  • Caliciei, various Lecideae, Xylographa), (b) As to saxicolous lichens, which occur on rocks and stones, they may be divided into two sections, viz.

    0
    0
  • The traditional form of the surplice in the Church of England is that which survived from pre-Reformation times, viz.

    0
    0
  • He divides the countries which had been evangelized by the close of the 3rd century into four groups: (I) Those countries in which Christianity numbered nearly one-half of the population and represented the standard religion of the people, viz.

    0
    0
  • (2) Those districts in which Christianity formed a very material portion of the population, influencing the leading classes and being able to hold its own with other religions, viz.

    0
    0
  • (3) Those districts in which Christianity was sparsely scattered, viz.

    0
    0
  • Friedlander, for instance, does not think that they exceeded by much Gibbon's estimate for the reign of Decius, viz.

    0
    0
  • There is one Anglican society working, like some of those just mentioned, in one particular field, viz.

    0
    0
  • Three missions just touch the border of Arabia, viz.

    0
    0
  • A somewhat overlooked side of missions, viz.

    0
    0
  • Several books of the New Testament have been attributed to him: viz.

    0
    0
  • This general name seems best to describe the range in question, though, of course, portions of it are in Cantons other than that of Berne, viz.

    0
    0
  • Then the positive charge on A induces two charges on A', viz.

    0
    0
  • In the Lower Carboniferous the flora was composed of six great groups of plants, viz.

    0
    0
  • The greatest length from north to south, viz.

    0
    0
  • deep, did not reach the base of the uppermost division of the Pliocene, viz.

    0
    0
  • But though it is certain that he introduced three changes in the liturgy itself (viz.

    0
    0
  • But in addition there is another very important principle underlying many of our thermal processes, viz.

    0
    0
  • In common open-hearth procedure, although the temperature is low early in the process, viz.

    0
    0
Browse other sentences examples →