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" One quantity is said to vary directly as a second and inversely as a third, when it varies as the second and the reciprocal of the third jointly. "
Higher Algebra - Σελίδα 363
των George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 615 σελίδες
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Easy Introduction to Mathematics, Τόμος 2

Charles Butler - 1814 - 582 σελίδες
...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...

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

Jeremiah Day - 1814 - 304 σελίδες
...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...

The Elements of Algebra: Designed for the Use of Students in the University

James Wood - 1815 - 338 σελίδες
...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,...

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

Jeremiah Day - 1820 - 352 σελίδες
...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...

Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 σελίδες
...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,...

The Practical Analyst: Or, A Treatise on Algebra, Containing the Most Useful ...

Enoch Lewis - 1826 - 180 σελίδες
...(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...

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

Jeremiah Day - 1827 - 352 σελίδες
...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'.-'*:...

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

Jeremiah Day - 1847 - 358 σελίδες
...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::^:-....

Algebra

Isaac Todhunter - 1858 - 530 σελίδες
...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 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...

New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - 1864 - 420 σελίδες
...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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