| Robert Simson - Trigonometry - 1806 - 546 pages
...third, together with the fourth, is to the fourth. 18th prop, book 5. XVI. Dividendo, by division ; when there are four proportionals, and it is inferred,...excess of the third above the fourth is to the fourth. 17th prop, book 5. XVII. Convertendo, by conversion ; when there are four proportionals, and it is... | |
| John Playfair - Mathematics - 1806 - 320 pages
...with the fourth, is to the fourth. 18th prop, book 5, Book V. XVII. sx^v*^/ Dividcndo, by division : when there are four proportionals, and it is inferred,...excess of the third above the fourth is to the fourth. 17th prop, book 5. XVIII. Convertendo, by conversion: when there are four proportionals, and it is... | |
| Euclid - Geometry - 1810 - 554 pages
...the third together with the fourth, is to the fourth. 18th prop. book 5. XVI. Dividendo, by division; when there are four proportionals, and it is inferred, that the excess of the first above second, is to the second, as the excess of the third above the fourth, is to the fourth. 17th prop.... | |
| John Mason Good - 1813 - 714 pages
...third together with the fourth, is to the íeurth. Piop. XVIII. Book V. 16. Dividendo, hy division; when there are four proportionals, and it is inferred,...second, as the excess of the third above the fourth, is tu the fourth. Prop. XVlI. Book V. 17. Converteudo, by conversion; wLen tl.cre are four propoitiouals,... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...these equals by bd, and -= -, or ar a+b :: c: c+d. a+b c+d 67. If four quantities be proportionals, the excess of the first above the second is to the...excess of the third above the fourth is to the fourth. a Let a: b: : c : d, then will a—b :b:: c—d : d. Because —— VOL. ll. F • — , let unity... | |
| Charles Butler - 1814 - 582 pages
...or a: a+b : : c : c+d. a+b c+d 67. If four quantities be proportionals, the excess of the first w\e the second is to the second, as the excess of the third *ove the fourth is to the fourth. ie< a : 4 : : c : d, then will a—b:b::c—d:d. Because — = b... | |
| James Wood - Algebra - 1815 - 338 pages
...is, — - — = — j- ; or, a + b : b :: c+ d : d. (180.) Also, dividendo, the excess of the jirst above the second, is to the second, as the excess of the third above the fourth, 4s to the fourth. ct c Because 7 = -,, by subtracting unity from each .. ac . . a — b cd , side,... | |
| Euclides - 1816 - 588 pages
...third, together with the fourth, is to the fourth. 18th Prop. Book 5. XVL Dividendo, by division ; when there are four proportionals ; and it is inferred,...excess of the third above the fourth, is to the fourth. 17th Prop. Book 5, XVII. Gonvertendo, by conversion ; when there are four proportionals, and it is... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...third, together with the fourth, is to the fourth. 18th Prop. Book 5. XVII. Dividendo, by division t When there are four proportionals, and it is inferred,...excess of the third above the fourth, is to the fourth. 17th Prop. Books. XVIII. Convertendo, by conversion : When there are four proportionals, and it is... | |
| John Mason Good - 1819 - 800 pages
..."e >>inl. totcetlier with the fourth, is to the fourth. rbn. XVIII. Book V. Dividendo, by division ; when there are four proportionals, and it is inferred, that the excess ft the first above the second, is to the second, as UV eicess of the third above the fourth, is to... | |
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