 | 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
...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. 180. If we have... | |
 | Charles Davies - 1839 - 264 σελίδες
...two extremes. Thus, if we have the proportion 3 : 6 : : 6 : 12, we shall also have 6x6=62=3xl2=36. QUEST. — 155. If the product of two quantities is...quantities, may the four be placed in a proportion ? How ? — 156. If three quantities are proportional, what is the product of the extremes equal to'? i 157.... | |
 | Charles Davies - 1839 - 272 σελίδες
...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. Thus, if we have... | |
 | Bourdon (M., Louis Pierre Marie) - 1839 - 368 σελίδες
...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 - 1840 - 264 σελίδες
...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 - 1841 - 264 σελίδες
...two extremes. Thus, if we have the proportion . 3 : 6 : : 6 : 12, we shall also have 6x6=62=3xl2=36. QUEST. — 155. If the product of two quantities is...quantities, may the four be placed in a proportion T How ? — 156. If three quantities are proportional, what is the product of the extremes equal to... | |
 | Charles Davies - 1842 - 368 σελίδες
...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. we have -=^; , BC... | |
 | Charles Davies - 1842 - 284 σελίδες
...to each other that AxD=BxC, 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 tJiem may be made the extremes, and the other two the means of a proportion. Thus, if we have... | |
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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. 
