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" That is, in any proportion either extreme is equal to the product of the means divided by the other extreme ; and either mean is equal to the product of the extremes divided by the other mean. "
A Practical Arithmetic - Page 255
by George Albert Wentworth - 1897 - 413 pages
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A New and Complete Dictionary of Arts and Sciences: Comprehending ..., Volume 2

Industrial arts - 1763 - 1246 pages
...produft of the extremes to be equal to tint of the means ; or, any one of the extremes may be made equal to the product of the means divided by the other extreme s thus, if 11 — fc>— 1 141 i, then [ t equation be multiplied or divided by e lamequamity, it may...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 446 pages
...expressed, A : B : : B : C, therefore A C—& X B=B1. Q ED divided by the other extreme ; and that either mean is equal to the product of the extremes divided by the other SIMPLE PROPORTION, OR RULE OF | THREE; Tie Rule of three is that, by which' a number is found, having...
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - Geometry - 1807 - 408 pages
...the means divided by the other extreme. If a:b= c: d, ad=bc. §119 Whence a = -£-. QED a COR. — Either mean is equal to the product of the extremes divided by the other mean. PROPOSITION IV. THEOREM. 122. A. mean proportional between two quantities is equal to the square root...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...square of the mean. Hence it is easily seen, that either extreme of four geometrical propoitiouals is equal to the product of the means divided by the other extreme ; and that either mean is equal to the product of the extremes divided by the other mean. SIMPLE PROPORTION,...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 246 pages
...metrical proportionals is equal to the product of the means divided by the other extreme ; and that either mean is equal to the product of the extremes divided by the other mean. * DE 札 oNsTRATIoN ・ Letlhe ぬ urahth 山 eticalpropo ㎡ onalB be イ , 乃 , C , D ) 世...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - Arithmetic - 1812 - 260 pages
...square of the mean. Hence it is easily seen, that either extreme of four geometrical proportionals is equal to the product of the means divided by the. other extreme ; and that either mean 'is equal to the product of the extremes divided by the other mean. * DEMONSTRATION....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 pages
...extreme is equal to the product of the means, divided by ihe other fxtrcme ; and either of the means is equal to the, product of the extremes, divided by the other mean. 1. If a:b::c:d, then ad=bc be 2. Dividing by d, a =-7 ad 3. Dividing the first by c, 6= — ad 4. Dividmg...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...=ac, and x = Vac. (Art. 297.) 377. It follows, from art. 374, that in a proportion, either extreme is equal to the product of the means, divided by the other extreme ; and either of the means is equal to the product of the extremes, divided by the other mean. 1 . If a : b : : c...
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Scientific Amusements in Philosophy and Mathematics: Including Arithmetic ...

William Enfield (M.A.) - Amusements - 1821 - 302 pages
...three of which are known, may be easily found ; for if the required term be an extreme, it will be equal to the product of the means divided by the other extreme ; and if it be a mean, it will be equal to the product of the extremes divided by the other mean. if 2 :...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...extreme is equal to the product of the means, divided by the otaer extreme ; and either of the means is equal to the product of the extremes, divided by the other mean. 1. If a : b'.'.c : d, then ad=bc 2. Dividing by <J, a=-r a 3. Dividing the first by c, b=— c 4. Dividing...
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