 | John Playfair - 1806 - 320 páginas
...book 5. XVI. Componendo, by composition : when there are four proportionals, and it is inferred, that the first, together with the second, is to the second,...third, together with the fourth, is to the fourth. 18th prop, book 5, Book V. XVII. sx^v*^/ Dividcndo, by division : when there are four proportionals,... | |
 | Robert Simson - 1806 - 546 páginas
...book 5. XV. Componendo, by composition ; when there are four proportionals, and it is inferred, that the first, together with the second, is to the second,...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,... | |
 | Euclides - 1816 - 588 páginas
...Book 5. XV. Componendo, by composition; when there are four proportionals, and it is ini'erred, that the first, together with the second, is to the second,...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,... | |
 | Adrien Marie Legendre - 1819 - 574 páginas
...is to the first as the fourth is to the third ; componendo, by composition, when it is inferred that the first together with the second is to the second,...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... | |
 | John Playfair - 1819 - 354 páginas
...Book 5. XVI. C.omponendo, by composition : When there are four proportionals, and it is inferred, that the first, together with the second, is to the second,...third, together with the fourth, is to the fourth. 18th Prop. Book 5. XVII. Dividendo, by division : When there are four proportionals, and it is inferred,... | |
 | Euclides - 1821 - 294 páginas
...Prop. 20. Book 5. 16. Componendo ; when it is concluded, that if there be four magnitudes proportional, the first together with the second is to the second,...the third together with the fourth is to the fourth. Note. Hence A + B : B : : C+D : D. Thus if 2: 1 : : 6 : 3,[then 2+1 : 1 : : 6+3 : 3. This def. is proved... | |
 | Euclid, Robert Simson - 1821 - 514 páginas
...book 5. XV. Componendo, by composition; when there are four porportionals, and it is inferred, that the first, together with the second, is to the second, as the the third together with the fourth, is to the fourth. 18th. Prop. book 5.. XVI. Dividendo, by division;... | |
 | Thomas Keith - 1822 - 354 páginas
...— =— , hence. ALTERNANDO. A : c :; B ; D. •BC- pc cp 15. When four quantities are proportional, the first together with, the second, is to the second...third together with the fourth, is to the fourth, Thus, if A : B :: o : D. then COMPONENDO, A + B : B •.: C + D : D. For AD==BC (article 11) add DB... | |
 | George Crabb - 1823 - 704 páginas
...second is to the first as the fourth to the third, ie B to A as D to C. — Compound proportion is when the first, together with the second, is to the second...third, together with the fourth, is to the fourth, ie supposing AE to be EB as CF to FD, fig. 33, then, by composition, AB is to BE as CD to D E. —... | |
 | James Wood - 1825 - 322 páginas
...place, and the conclusions drawn from it will be just. ( 1 79.) When four quantities are proportionals, the first together with the second, is to the second,...third, together with the fourth, is to the fourth. Let a : b :: с : d, then componenda, a + b : b : : с + d : d. Because т = ^, by adding unity to... | |
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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. 
