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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. "
Euclid, book v. proved algebraically, so far as it relates to commensurable ... - Página 43
por Charles Lutwidge Dodgson - 1874
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 páginas
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 páginas
...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....
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813 - 714 páginas
...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,...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volumen2

Charles Butler - 1814 - 528 páginas
...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...
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Easy Introduction to Mathematics, Volumen2

Charles Butler - 1814 - 582 páginas
...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...
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The Elements of Algebra: Designed for the Use of Students in the University

James Wood - 1815 - 338 páginas
...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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 páginas
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 páginas
...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1819 - 800 páginas
..."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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