## Integral Sentence Examples

- It might be trivial, but it was an
**integral**part of their marriage. - - The range and importance of the scientific labours of Archimedes will be best understood from a brief account of those writings which have come down to us; and it need only be added that his greatest work was in geometry, where he so extended the method of exhaustion as originated by Eudoxus, and followed by Euclid, that it became in his hands, though purely geometrical in form, actually equivalent in several cases to integration, as expounded in the first chapters of our text-books on the
**integral**calculus. - In 1548 Charles laid before the states a scheme for making the Netherlands an
**integral**part of the empire under the name of the Circle of Burgundy; but the refusal of the German Electors to make his only son Philip king of the Romans led him to abandon the project, which was never renewed. - By an instrument signed on the 24th of April 1815, the Austrian territories in north Italy were erected into the kingdom of Lombardo-Venetia, which, though an
**integral**part of the Austrian empire, was to enjoy a separate administration, the symbol of its separate individuality being the coronation of the emperors with the ancient iron crown of Lombardy (Proclamation de lempereur dAutriche, &c., April 7, 1815, State Papers, ii. - Any one introspectively apprehending the facts must grant, he thought, that benevolence was an
**integral**part of human nature and that conscience was rightfully supreme. - This latter work included the differential and
**integral**calculus, the calculus of variations, the theory of attractions, and analytical mechanics. - The critical examination of the nature and growth of this compilation has removed much that had formerly caused insuperable difficulties and had quite unnecessarily been made an
**integral**or a relevant part of practical religion. - 1912 he made a daring incursion into Ulster, in order to advocate Home Rule at Belfast; but he was wise enough to give up his original intention of making the Ulster Hall, with its Orange and Protestant associations, the scene of his meeting, and also to represent the Government plan as an
**integral**part of parliamentary devolution. - For about a century the possession of this marchland was disputed by Hungary, Poland and Bohemia, but in 1029 it was finally incorporated with Bohemia, and so became an
**integral**part of the German empire.. - Arithmetic, algebra, and the infinitesimal calculus, are sciences directly concerned with
**integral**numbers, rational (or fractional) numbers, and real numbers generally, which include incommensurable numbers. - Of Castile and thenceforward it remained an
**integral**part of the kingdom of Castile or of Leon. - P. Gordan first proved that for any system of forms there exists a finite number of covariants, in terms of which all others are expressible as rational and
**integral**functions. - N be permuted, is a rational
**integral**symmetric function of the quantities. - Suppose the whole space in which induction exists to be divided up into unit tubes, such that the surface
**integral**of the induction over any cross-section of a tube is equal to unity, and along the axis of each tube let a line of induction be drawn. - If the conductor consists of a coil of wire the ends of which are connected with a suitable galvanometer, the
**integral**electromotive force due to a sudden increase or decrease of the induction through the coil displaces in the circuit a quantity of electricity Q=SBns R, where SB is the increment or decrement of induction per square centimetre, s is the area of the coil, n the number of turns of wire, and R the resistance of the circuit. - The inroads made on the frontiers of Rio Grande and Sao Paulo decided the court of Rio to take possession of Montevideo; Brazil de- a force of 5000 troops was sent thither from Portugal, together with a Brazilian corps; and the irregulars
**integral**of Artigas, unable to withstand disciplined troops, were forced, after a total defeat, to take refuge beyond the river Uruguay. - On the one hand it was declared that the kingdom of Hungary was an
**integral**part of the Habsburg dominions and inseparable from these so long as a male or female heir of the kings Charles, Joseph and Leopold should be found to succeed to them. - It filled her whole soul, had become an
**integral**part of herself, and she no longer struggled against it.