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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... "
Essentials of Algebra: Complete Course (an Adequate Preparation for the ... - Page 270
by John Charles Stone, James Franklin Millis - 1905 - 506 pages
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...money varies as the product of the principal, rate per cent, and time, or I ec 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
...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
...^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 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
...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
...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
...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
...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 - 528 pages
...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 and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Or if A = ~YT , where m is constant, A is said...
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New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...wages will be doubled, trebled, etc. ; that is, changed by a constant ratio. 329. One quantity varies directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus, in physics, the attraction of a planetary...
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