 | Jeremiah Day - 1814 - 304 pagina’s
...=-jtyeducing the fractions, ad=bc. Thus 12: 8:: IS: 10, therefore 12x10=8x15. 375. On the other hand, if the product of two quantities is equal to the product of two others, the four quantities will form a proportion, when they are so arranged, that those .on one side of the equation... | |
 | Jeremiah Day - 1827 - 352 pagina’s
...is, in both cases the same. And if no : b'. '.x : yy then a : b'.'.x : ny. 375. On the other hand, if the product of two quantities is equal to the product of two others, the four quantities will form a proportion, when they are so arranged, that those on one side of the equation... | |
 | 1838 - 372 pagina’s
...other that AxD=B*C, i „ , , BD we shall also have ~T=~r' A. O and hence, A : B : : C : D; that is, if the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.... | |
 | Charles Davies - 1839 - 272 pagina’s
...each other that AxD=BxC, we shall also have — =— ; A. L> , and hence, A : B : : C : D. That is : If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.... | |
 | Charles Davies - 1842 - 284 pagina’s
...Thus, if we have the proportion 3 : 6 : : 6 : 12, t we shall also have = 62 = 3xl2=36. QUEST. — 155. If the product of two quantities is equal to the product of two other quantities, may the four be placed in a proportion 1 How ? — 156. If three quantities are proportional,... | |
 | Charles Davies - 1842 - 368 pagina’s
...related to each other that we shall also have — =— ., jfi O and hence, A : B : : C : D; that is, if the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.... | |
 | Thomas Sherwin - 1842 - 326 pagina’s
...Suppose we have ad = bc. Dividing both members by 6 and d, we have r = -, or a : b = c : d. Hence, oa If the product of two quantities is equal to the product of ttca other quantities, the two factors of either product may be made the means, and the two factors... | |
 | James Bates Thomson - 1844 - 272 pagina’s
...the means in both cases is the same. So if na:b::x:y, then a : b : : x : ny. 339. On the other hand, if the product of two quantities is equal to the product of two others, the four quantities will form a proportion if they are so arranged, that those on one side of the equation... | |
 | William Scott - 1844 - 568 pagina’s
...products, and each is divided by irf, ad be acc _ a that is, a : b::c : d, or c '. d:'.a '. b. Wherefore, if the product of two quantities is equal to the product of two others, the four quantities are convertible into a proportion of which the multiplicand and multiplier of either... | |
 | Charles Davies - 1845 - 382 pagina’s
...other that A x D — B x C, we shall also have, — = — , -AO and hence, A : B : : C : D ; that is If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.... | |
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If the product of two quantities is equal to the product of two others, the... 
