 | Jeremiah Day - 1814 - 304 sider
...=-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... | |
 | Jeremiah Day - 1827 - 352 sider
...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... | |
 | Charles Davies - 1839 - 272 sider
...quantities, A, B, C, D, are so related to each other that AxD=BxC, we shall also have — =— ; A. L> , and hence, A : B : : C : D. That is : If the product...extremes, and the other two the means of a proportion. Thus, if we have 2x8 = 4x4, we also have 2 : 4 : : 4 : 8. 1 56. If we have three proportional quantities... | |
 | Bourdon (M., Louis Pierre Marie) - 1839 - 368 sider
...four quantities, A, B, C, and D, are so related to each other that we shall also have — =— , AC/ and hence, A : B : : C : D; that is, if the product of two quantities is equal to the product of two otter quantities, two of them may be made the extremes, and the other two the means of a proportion.... | |
 | Charles Davies - 1839 - 264 sider
...B, C, D, are so related to each other that AxD=BxC, ,....., BD we shall also have — =— ; A. Lx and hence, A : B~: : C : D. That is : If the product of two quantities is equal to tJte product of two other quantities, two of them may be made the extremes, and the other two the means... | |
 | Charles Davies - 1840 - 264 sider
...means equal to ? 155. If four quantities, A, B, C, D, are so related to each other that ta.ll.!! BD we shall also have — =— ; AO and hence, A : B...product of two quantities is equal to the product of two otlier quantities, two of them may be made the extremes, and the other two the means of a proportion.... | |
 | Charles Davies - 1842 - 368 sider
...quantities, A, B, C, and D, are so related to each other that we shall also have — =— ., jfi O and hence, A : B : : C : D; that is, if the product...extremes, and the other two the means of a proportion. we have -=^; , BC hence, B 2 =AC; that is, the square of the middle term is equal to the product of... | |
 | Charles Davies - 1842 - 284 sider
...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, what... | |
 | Thomas Sherwin - 1842 - 326 sider
...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 sider
...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... | |
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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. 
