 | Robert Simson - 1806 - 546 sider
...prop, book 5. XVI. Dividendo, by division ; when there are four proportionals, and it is inferred, that the excess of the first above the second is to the...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 - 1806 - 320 sider
...XVII. sx^v*^/ Dividcndo, by division : when there are four proportionals, and it is inferred, that the excess of the first above the second is to the...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 - 1810 - 554 sider
...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. book 5. , XVII. Convertendo, by conversion; when there are four proportionals, and it is... | |
 | John Mason Good - 1813 - 714 sider
...XVIII. Book V. 16. Dividendo, hy division; when there are four proportionals, and it is inferred, that the excess of the first above the second, is to the...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 - 1814 - 528 sider
...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 sider
...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 - 1815 - 338 sider
...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 sider
...Prop. Book 5. XVL Dividendo, by division ; when there are four proportionals ; and it is inferred, that the excess of the first above the second, is to the...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 - 1819 - 350 sider
...Book 5. XVII. Dividendo, by division t When there are four proportionals, and it is inferred, that the excess of the first above the second, is to the...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... | |
 | Adrien Marie Legendre - 1819 - 574 sider
...fourth ; dividemlo, by division, when it is inferred that the excess of the first above the second u to the second, as the excess of the third above the fourth is to the fourth ; convertendo, by conversion, when it is inferred that the first is to iU excess above the second,... | |
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Dividendo, by division ; when there are four proportionals, and it is inferred, that the excess of the first above the second, is to the second, as the excess of the third above the fourth, is to the fourth. 
