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Books Books 1 - 10 of 95 on Art. 374, that in a proportion, either extreme is equal to the product of the means,....  
" 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 : d, then ad=bc 2. "
Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ... - Page 209
by James Bates Thomson - 1844 - 252 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801
...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 - 398 pages
...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

Mathematics - 1808
...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 - Arithmetic - 1812 - 248 pages
...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 - Algebra - 1814 - 303 pages
...in a 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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An introduction to algebra: being the first part of a course of mathematics ...

Jeremiah Day - Algebra - 1820 - 332 pages
...product. If a : a; : : a; : c, then xs =ac, and x = Vac. (Art. 297.) 377. It follows, from art. 374, that in a proportion, either extreme is equal to the...divided by the other mean. 1 . If a : b : : c : d, then <td=bc be 2. Dividing by d, a==~d ad 3. Dividing the first by c, ~/T a* .1. Dividing it by 6, C~A~...
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Scientific Amusements in Philosophy and Mathematics: Including Arithmetic ...

William Enfield (M.A.) - Scientific recreations - 1821 - 276 pages
...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 - Algebra - 1827 - 332 pages
...374, that in a 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...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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1831 - 332 pages
...their product. If a : x :: x : c, then x2=ac, and x=\fac. (Art. 297.) 377. It follows, from Art. 374, that in a proportion, either extreme is equal to the...1. If a : b :: c : d, then ad=bc 2. Dividing by d, a= d 3. Dividing the first by c, b= c 4. Dividing it by 6, c= b 5. Dividing it by a, d;...
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An Introduction to Algebra ...

Jeremiah Day - 1832
...their product. If a : x : : x : c, then x*=ac, and x=\fac. (Art. 297.) 377. It follows, from Art. 374, that in a proportion, either extreme is equal to the...the other mean. 1. If a : b : : c : d, then ad=bc be 2. Dividing by d, a= d , 3. Dividing the first by c, 6= C 4. Dividing it by b, c...
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