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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 ... - Page 43
by Charles Lutwidge Dodgson - 1874
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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....
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

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,...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

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...
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Easy Introduction to Mathematics, Volume 2

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...
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The Elements of Algebra: Designed for the Use of Students in the University

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,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

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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