 | John Playfair - 1806 - 320 σελίδες
...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... | |
 | Robert Simson - 1806 - 546 σελίδες
...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... | |
 | Euclid - 1810 - 554 σελίδες
...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 σελίδες
...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 - 1814 - 528 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 1819 - 350 σελίδες
...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... | |
 | Adrien Marie Legendre - 1819 - 574 σελίδες
...to the second, as the third together with the fourth is to the 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,... | |
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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. 
