 | Jeremiah Day - 1814 - 304 σελίδες
...=-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 σελίδες
...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... | |
 | 1838 - 372 σελίδες
...B, C, and D, are so related to each 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...extremes, and the other two the means of a proportion. 180. If we have three proportional quantities A : B : : B : C, 1 ^ C wehave _=_; hence, &=AC; that... | |
 | Charles Davies - 1839 - 272 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...quantities, A, B, C, D, are so related to each other that ta.ll.!! BD 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 otlier quantities, two of them may be made the extremes, and the other two the means of a proportion.... | |
 | Charles Davies - 1842 - 368 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
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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. 
