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 Books Bücher 21 - 30 von 70 in Componendo, by composition ; when there are four proportionals, and it is inferred...
Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth.
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Seite 137
von Sir John Leslie - 1817 - 432 Seiten
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The elements of algebra

...denote these changes, the following technical terms are «mployed : — (327.) ' By inversion, when the second is to the first as the fourth to the third ; (328.) By alternation, when the first is to the third as the second to the fourth ; (329.) By composition,...
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The Doctrine of Proportion Clearly Developed: On a Comprehensive, Original ...

Oliver Byrne - 1841 - 98 Seiten
...technical term "Invertando," by invertion, when there are four proportionals, and it is inferred, that the second is to the first as the fourth to the third. Let A : В : : С : D, then, by " invertando" it is inferred В : A : : D : С. FROR B. THEO. If four magnitudes...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...fifth Book. XIV. Invertendo, by inversion: when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop. B. Book 5. XV. Componendo, by composition! when there are four proportionals, and it is inferred,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 Seiten
...this Book. 15. Invertendo, by inversion : When there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop A. Book 5. 16. Componendo, by composition : When there are four proportionals, and it is inferred,...
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A system of practical mathematics; being no.xvi. of a new series of school-books

1845
...Prop. 3. If four quantities be proportional, they are also proportional when taken inversely ; that is, the second is to the first, as the fourth to the third. Since 7=3, l-=-7=lb-; .•.-=-, and hence b: a=d:c. QED bd Ь а а с 105. Prop. 4. If four quantities...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...fifth book. XIV. Invertendo, by inversion ; when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop. B. Book. v. XV. Componendo, by composition ; when there are four proportionals, and it is inferred...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 Seiten
...5th Book. XIV. Invertendo, by inversion; when there are four proportionals, and it is inferred, that the second is to the first as the fourth to the third. Prop. B. Book 5. XV. XVI. Dividendo, by division ; when there are four proportionals, and it is inferred,...
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

James Thomson - 1845 - 358 Seiten
...proposition of this book. 15. By inversion: when there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop. B. Book V. 16. By composition: when there are four proportionals, and it is inferred, that the...
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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846
...becomes A to C as B to Do. 15. By Inversion, when it is inferred that if four magnitudes be proportional, the second is to the first as the fourth to the third; as is demonstrated in Prop. 20, namely — A to B as CD to E, becomes B to A as E to CD. 16. By Composition,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 Seiten
...this Book. 15. Invertendo, by inversion : When there are four proportionals, and it is inferred, that the second is to the first, as the fourth to the third. Prop A. Book 5. 16. Componendo, by composition : When there are four proportionals, and it is inferred,...
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