 | Jeremiah Day - 1814 - 304 páginas
...=-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 páginas
...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 páginas
...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...two other quantities, two of them may be made the extremes, and the other two the means of a proportion. 180. If we have three proportional quantities... | |
 | Charles Davies - 1839 - 272 páginas
...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...two other quantities, two of them may be made the extremes, and the other two the means of a proportion. Thus, if we have 2x8 = 4x4, we also have 2 :... | |
 | Charles Davies - 1839 - 264 páginas
...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 equal to the product of two other quantities, may the four be placed in a proportion ? How ? — 156. If three quantities are proportional, what... | |
 | Bourdon (M., Louis Pierre Marie) - 1839 - 368 páginas
...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 páginas
...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 páginas
...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...two other quantities, two of them may be made the extremes, and the other two the means of a proportion. we have -=^; , BC hence, B 2 =AC; that is, the... | |
 | Charles Davies - 1842 - 284 páginas
...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... | |
 | James Bates Thomson - 1844 - 266 páginas
...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. 
