| Jeremiah Day - Algebra - 1814 - 303 pages
...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 - Algebra - 1820 - 332 pages
...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
...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,... | |
| Bourdon (Louis Pierre Marie, M.) - Algebra - 1838 - 355 pages
...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 - Algebra - 1839 - 332 pages
...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 - Algebra - 1839 - 252 pages
...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.... | |
| M. Bourdon (Louis Pierre Marie) - Algebra - 1842 - 358 pages
...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 - Algebra - 1842 - 258 pages
...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 - Mathematics - 1842 - 300 pages
...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... | |
| Jeremiah Day, James Bates Thomson - Algebra - 1844 - 252 pages
...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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