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" One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus... "
Algebra for the Use of Colleges and Schools: With Numerous Examples - Page 144
by Isaac Todhunter - 1879 - 608 pages
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 582 pages
...interest of money varies as the product of the principal, rate per cent, and time, or I oc PRT. 102. One quantity is said to vary directly as a second, and inversely as a third, when the first cannot be changed, but the second multiplied by the reciprocal of the third, (that is, the...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 pages
...time. If the time be doubled, and the principal doubled, the interest will be four times as great. 409. One quantity is said to vary directly as a second, and inversely as a third, when the first is always proportioned to the second divided by the third, so that BBI 'V 410. To understand...
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The Elements of Algebra: Designed for the Use of Students in the University

James Wood - Algebra - 1815 - 338 pages
...then BP — ^A, A BP and bp = 2a; therefore — = -j — . or A : a :: BP : bp. a bp (196.) DEF. 4. One quantity is said to vary directly as a second and inversely as a third, when the first cannot be changed in any manner, but the second multiplied by the reciprocal of the third,...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...time. If the time be doubled, and the principal doubled, the interest will be 4 times as great. 409. One quantity is said to vary directly as a second, and inversely as a third, Vhen the first is always proportioned to the second divided by the third, so that BB b A ce -Q, that...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Mathematics - 1823 - 666 pages
...then BP= 2 A in the first, and bp = 1 « in the second, therefore, - = — , or A:« = Bl> :bp. 4. One quantity is said to vary directly as a second, and inversely as a third, when the lirst cannot be changed in any manner, but the second multiplied by the reciprocal of the third,...
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The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful ...

Enoch Lewis - Algebra - 1826 - 180 pages
...(Л<х.ВС,} when Л being changed to a, B changes to b, and С to c, so that ЛВС — =— X — abc i. 78. One quantity is said to vary directly as a second, and inversely as a third, when the ratio which any two values of the first bear to each other, is the same as the ratio compounded...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...time. If the time be doubled, and the principal doubled, the interest will be four times as great. 409. One quantity is said to vary directly as a second, and inversely as a third, when the first is always proportioned to the second divided by the third, so that Av>%, that is A:a'.-'*:...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...time. If the time be doubled, and the principal doubled, the interest will be four times as great. 409. One quantity is said to vary directly as a second, and inversely as a third, when the first is always proportioned to the second divided by the third, so that .3 cc—, thatis^:a::^:-....
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Algebra

Isaac Todhunter - Algebra - 1858 - 530 pages
...changed in the same proportion. Or if A =mBC, where m is constant, A is said to vary jointly as В and C. 418. One quantity is said to vary directly as a second...the second and the reciprocal of the third. Or if A = ~YT , where m is constant, A is said to vary directly о as В and inversely as C. 419. If A œ В...
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Algebra for Beginners: With Numerous Examples

Isaac Todhunter - Algebra - 1863 - 302 pages
...changed in the same proportion. 376. One quantity is said to vary directly as a second and inveriely as a. third, when it varies jointly as the second and the reciprocal of the third. Or if A = —jr , where m is constant, A is said to vary directly as B and inversely as C. 377. //"Ax B, and...
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