 | Andrew Bell (writer on mathematics.) - 1839 - 500 σελίδες
...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,... | |
 | Oliver Byrne - 1841 - 144 σελίδες
...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... | |
 | Euclides - 1841 - 378 σελίδες
...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,... | |
 | John Playfair - 1842 - 332 σελίδες
...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,... | |
 | Scottish school-book assoc - 1845 - 444 σελίδες
...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... | |
 | Euclides - 1845 - 546 σελίδες
...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... | |
 | Euclid - 1845 - 218 σελίδες
...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,... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...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... | |
 | Euclides - 1846 - 272 σελίδες
...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,... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...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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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. 
