At a later date, 1891, Trowbridge discussed another method of effecting communication at a distance, viz., by means of magnetic induction between two separate and completely insulated circuits.
There are three courts of appeal, viz, at Brussels, Ghent and Liege.
From the northwest angle of Nova Scotia, viz., that angle which is formed by a line drawn due north from the source of St. Croix River to the highlands; along the said highlands which divide those rivers that empty themselves into the river St. Lawrence ...
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.
Australia is inhabited by at least if o different species of marsupials, which is about two-thirds of the known species; these have been arranged in five tribes, according to the food they eat, viz., the grass-eaters (kangaroos), the root-eaters (wombats), the insect-eaters (bandicoots), the flesh-eaters (native cats and rats), and the fruit-eaters (phalangers).
There are three kinds of primary batteries in general use in the British Postal Telegraph Department, viz., the Daniell, the bichromate, and the Leclanche.
Fleming discovered that if the filament is made incandescent by the current from an insulated battery there is a unilateral conductivity of the rarefied gas between the hot filament and the metal plate, such that if the negative terminal of the filament is connected outside the lamp through a coil in which electric oscillations are created with the platinum plate, only one half of the oscillations are permitted to pass, viz., those which carry negative electricity from the hot filament to the cooled plate through the vacuous space.
The velocity of propagation of electric waves is the same as that of light, viz., about moo million feet, or 300 million metres, per second.
Each connexion involves the use of three switches, viz., a first selector, a connector switch, and a second selector which is brought into operation between the other two.
Speech has been habitually transmitted for business purposes over a distance of 1542.3 m., viz., over the lines of the American Telegraph and Telephone Company from Omaha to Boston.
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.
This variety, which seems to have been originally bred in Silesia, is not less well-flavoured than the normally coloured tench, and grows to the same size, viz., to 6 and even 8 lb.
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.
On papyrus in book form are still extant in different libraries of Europe, viz.: the Homilies of St Avitus, of the 6th century, at Paris; Sermons and Epistles of St Augustine, of the 6th or 7th century, at Paris and Geneva; works of Hilary, of the 6th century, at Vienna; fragments of the Digests, of the 6th century, at Pommersfeld; the Antiquities of Josephus, of the 7th century, at Milan; Isidore, De contemptu mundi, of the 7th century, at St Gall; and the Register of the Church of Ravenna, of the 10th century, at Munich.
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.
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).
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.
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.
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.
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.
In General It Is A Seminvariant Of Degrees 0, 0', And Weight 0 0' S; To This There Is An Exception, Viz., When 0=O, Or When 0'=O, The Corresponding Partial Degrees Are 1 And 1.
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(3ï¿½3+12ï¿½2+11ï¿½1+ 2)b -...
X (xa) ki (xb) k2 (xc) k3...axibx2cx3...xx = (AB) hi (AC) h2 (BC) h3...A11 4 13 A1,14131 A B I ?C"' B C "' X (XA) ki (XB) k2 (XC) k3...AXB122cCk...X If this be of order e and appertain to an nie L Eke-/1+2m =e, h i+h2+ï¿½ï¿½ï¿½+221+ji+j2+ï¿½ï¿½ï¿½+kl+li =n, hi+h3+..ï¿½+222+ji+j3+ï¿½ï¿½ï¿½+k2+12 = n, h2+h3+ï¿½ï¿½ï¿½+223+j2+%3+ï¿½.ï¿½+k3+13 =n; viz., the symbols a, b, c,...
Leaving that question for consideration in connexion with the systematic statement of the characters of the various groups of Arachnida which follows on p. 475, it is well now to consider the following question, viz., seeing that Limulus and Scorpio are such highly developed and specialized forms, and that they seem to constitute as it were the first and second steps in the series of recognized Arachnida - what do we know, or what are we led to suppose with regard to the more primitive Arachnida from which the Eurypterines and Limulus and Scorpio have sprung ?
The Sio and the Kapos or Zichy canal between Lake Balaton and the Danube is joined by the Sat-viz canal, which drains the marshes south of Sopron.
And discharge into the Gulf of California, viz.: the Altar, or Asuncion, Sonora, Yaqui and Mayo.
If, for example, we assume the life of a given mine at ten years and the rate of interest at 5%, it will be necessary that the property shall earn nearly 13% annually - viz., 5% interest and 8% for the annual payment to the amortization or the reserve fund.
The great concern of the time and the chief practical theme of these chapters is the building of the temple; but its restoration is only the earnest of greater things to follow, viz., the glorious restoration of David's kingdom.
The Trematodes are divided into three orders, primarily distinguished by the character of their suckers, viz.: Heterocotylea, Aspidocotylea and Malacocotylea.
But these in the alternate areas, which are given, were the same with the figures of which the several powers of II consist, viz., of 11 0, I I 1, II', I I 3, &c., that is, the first 1; the second, i, 1; the third, I, 2, I,; the fourth I, 3, 3, I; and so on.
Non-official agencies (supported by voluntary contributions) for exploration in Egypt comprise the Egypt Exploration Fund, started in London in 1881, with its two branches, viz, the Archaeological Survey (1890) for copying and publishing the monuments above ground, and the Graeco-Roman Branch (1897), well known through the brilliant work in Greek papyri of B.
Bekker occasionally consulted eleven other MSS., most of which contain only the above nine speeches: viz., Marciani F, G, I, K (Venice); Laurentiani D, E (Florence); Vaticani M, N; Parisini U, V; Urbinas 0.
The nature of the results will best be explained by reference to the formula given by Lovering as a mean from all the stations considered, viz.: - 33+3 3 sin (30t+100°52') +2 53 sin (60t+309°5') +o 16 sin (90t+213°31') +o 56 sin (120t+162°45') +0 27 sin (150t+32°38').
The Bundesrat, acting under the direction of the chancellor of the empire, is also a supreme administrative and consultative board, and as such it has nine standing committees, viz.: for army and fortresses; for naval purposes; for tariffs, excise and taxes; for trade and commerce; for railways, posts and telegraphs; for civil and criminal law; for financial accounts; for foreign affairs; and for Alsace-Lorraine.
In conseqtienc of this regulation numerous banks resigned the privilege of issuinf notes, and at present there are in Germany but the following privat note banks, issuing private notes, viz, the Bavarian, the Saxon the Wurttemberg, the Baderi and the Brunswick, in addition to th Imperial Bank.
What may be termed the chemistry of production, viz., that relating to soils, manures, manufacturing processes, &c., has of recent years received great attention from the scientific FIG.
TEUTONIC PEOPLES, a comprehensive term for those populations of Europe which speak one or other of the various Teutonic languages, viz., the English-speaking inhabitants of the British Isles, the German-speaking inhabitants of Germany, Austria-Hungary and Switzerland, the Flemish-speaking inhabitants of Belgium, the Scandinavian-speaking inhabitants of Sweden and Norway and practically all the inhabitants of Holland and Denmark.
Beside this belief, however, we find another which seems hardly to be compatible with it, viz., that the souls of the dead passed to the realm of Hel, who in Northern mythology is represented as the daughter of Loki.
The Prayer Book represents in a much condensed and abbreviated form the four chief ancient service books, viz.: the Missal, Breviary, Manual and Pontifical.
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."
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.