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Books Books 1 - 10 of 121 on : b : : mx : y, For the product of the means is, in both cases, the same. And if....
" : 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... "
An introduction to algebra: being the first part of a Course of mathematics ... - Page 188
by Jeremiah Day - 1827 - 332 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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,...
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An introduction to algebra: being the first part of a course of mathematics ...

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...
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Treatise on the elements of algebra

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,...
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Elements of algebra

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....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

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...
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First Lessons in Algebra: Embracing the Elements of the Science

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....
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Elements of Algebra

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....
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Elementary Algebra: Embracing the First Principles of the Science

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,...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 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...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

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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