 | Jeremiah Day - 1814 - 304 σελίδες
...Multiplying by Id, (Ax. 3.) -j- =-jtyeducing the fractions, ad=bc. Thus 12: 8:: IS: 10, therefore 12x10=8x15. 375. On the other hand, if the product of two quantities...means, and those on the other side, the extremes. m //, If my=nh, then m:n::k:y, that is --= -- it . y •.,••, my nh For by dividing my=nh by ny,... | |
 | Jeremiah Day - 1820 - 352 σελίδες
...For the product of the means is, in both cases, the same. And if na : b : : x : y, then a : b : : x :ny. 375. On the other hand, if the product of two...means, and those on the other side, the extremes. mh If my=nh, then m : n : : h : y, that is — • =— my nh For by dividing my=nh by ny, we have... | |
 | James Bryce - 1837 - 322 σελίδες
...product of the means is equal to the product of the extremes; and if the product of two quantitles be equal to the product of two others, the four quantities will form a proportion. ft f, Let the proportion be a:b::c:d; then -=- = -; and о а clearing of fractions, ad=bc. Again,... | |
 | 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.... | |
 | Jeremiah Day - 1839 - 354 σελίδες
...a:b::mx:y. For the product of the means is, in both cases the same. And if na : b : : x : y, then a:b::x:ny. 375. On the other hand, if the product of two quantities...the equation shall constitute the means, and those en the other side, the extremes. A If my=nh, then m:n::k:y, that is, —=_ " ynh For by dividing my=nh... | |
 | 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.... | |
 | 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.... | |
 | 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,... | |
 | 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... | |
 | James Bates Thomson - 1844 - 272 σελίδες
...for the product of 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...others, the four quantities will form a proportion if they are so arranged, that those on one side of the equation shall constitute the means, and those... | |
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: b : : mx : y, For the product of the means is, in both cases, the same. And if na : b : : x : y, 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... 
