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Books Bücher 31 - 40 von 71 in Componendo, by composition ; when there are four proportionals, and it is inferred...
" Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth. "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 137
von Sir John Leslie - 1817 - 432 Seiten
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...(S. 16) : xiv. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first as the fourth to the third (S. B) : xv. Componendo, by composition ; when there are four proportionals, and it is inferred that...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Teil 1

Joseph Ray - 1848 - 240 Seiten
...quantities are in proportion, they will be in proportion by INVERSION ; that is, the second will be to the first as the fourth to the third. Let a : b : : c : d. By Art. 244, ad=bc. Dividing both sides by 6, ~T=CDividing both sides by d, i=jThat is, b : a : : d...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...Fifth Book. XIV. Invertendo, by inversion; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop. B, Book v. XV. Componendo, hy composition ; when there are four proportionals, and it is inferred...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - 1848 - 240 Seiten
...quantities are in proportion, they will be in proportion by INVERSION ; that is, the second m1l be to the first as the fourth to the third. Let a : b : : e : d. By Art. 244, ad=bc. Dividing both sides by b, -r=cft fDividing both sides by d, T— 3That...
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The practice and theory of arithmetic

William Frederick Greenfield - 1853
...dcca a X t, — = — , >•*• c : a :: -d : b. ba Cor. 1. Hence, if four numbers are proportional, the second is to the first as the fourth to the third. For if a : b :: c : d, a X rf= b X c ; .-. from the Prop, b : a : : d : c. Cor. 2. Also, in the same...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 Seiten
...5th Book. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred that the second is to the first as the fourth to the third. Prop. B. Book 5. XV. Componenda, by composition ; when there are four proportionals, and it is inferred...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...5th Book. 14. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first as the fourth to the third. Prop. B., Book V. 15. Componendo, by composition ; when there are four proportionals, and it is inferred...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...•=. Í . 3. If four quantities are proportional they are proportional when taken inversely, that is, the second is to the first as the fourth to the third : thus, ifa:6::c:d, then Ь : a ; : 4 : e ; because from ,- = -j we get, by taking the reciprocals,...
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A compendious course of mathematics, theoretical and practical

John Radford Young - 1855
...2. If four quantities are in proportion, they are also in proportion when taken inversely; that is, the second is to the first as the fourth to the third. Let a '. b '.: c '. d, that is, T=- : then, since the reciprocals of two oa equal quantities must be equal, -=- .'. b : a...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...this book. 15. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Proposition B, book 5. 16. Componendo, by composition ; when there are four proportionals, and it is...
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