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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. "
Mathematics for Practical Men: Being a Common-place Book of Principles ... - Página 42
por Olinthus Gregory - 1834 - 427 páginas
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volumen1

1801 - 446 páginas
...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 - 1807 - 408 páginas
...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 ..., Volumen1

Samuel Webber - 1808 - 466 páginas
...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, 0R RULE OF THREE. The Rule of Three is that, by which a number is found, having...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - 1812 - 246 páginas
...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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 304 páginas
...proportion, either 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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Scientific Amusements in Philosophy and Mathematics: Including Arithmetic ...

William Enfield (M.A.) - 1821 - 302 páginas
...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 : 4 :: 3 : * Zx=4 x 3 (15) Then 4x3 *=-2-=6 If 2 : y : : 3 : 6 1 x 6 = 3y (15) Then < 2 x 6 Two...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 páginas
...proportion, either 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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A New Introduction to the Science of Algebra ...

Silas Totten - 1836 - 320 páginas
...is equal to the product of the means divided by the other extreme. If the unknown term be a mean, it is equal to the product of the extremes divided by the other mean. This principle is the foundation of what is termed, in arithmetic, the Rule of Three.* Suppose it be...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1841 - 362 páginas
...proportion, eithei 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 mean1. If a : b : : c : d, then ad=be 2. Dividing by d, a— •4 a 3. Dividing the first by c, b=—...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - 1841 - 320 páginas
...be , ad , ad a — — , o = — , and c = — . Therefore, aco • In any proportion, either mean is equal to the product of the extremes, divided by the other mean ; and either extreme i* equal to the product of the means, divided by the other extreme. From this...
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