 | Euclid - 1876 - 240 pages
...ratio me called proportionals. SCHOLIUM. Tire arithmetical definition of proportion is as follows : — Four quantities are said to be proportional, or in proportion, when the quotient of the first divided by the second is equal to the quotient of the third divided by the fourth,... | |
 | William Frothingham Bradbury - Algebra - 1877 - 302 pages
...to b, or a divided by b. 105. PROPORTION is an equality of ratios. Pour quantities are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. The equality of two ratios is indicated by the sign of equality (=) or by four dots (::). Thus, d :... | |
 | James Hamblin Smith, Thomas Kirkland - Arithmetic - 1877 - 376 pages
...number required = 3X9, .'. number required = ^T = 5|.. 219. Three numbers are said to be in OtwrnroED PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus 3, 6, 12 are continued proportion, for f = A. The second number is called... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...consequent ; if equal, equal ; and if less, less. 1 2. Three quantities are said to be proportional when the ratio of the first to the second is equal to the ratio of the second to the third ; thus, if A, B, and.C are in proportion, then A:B::B:C, or, A:B=B:C. In this case... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...; also the ratio of A : B and m A :mB. 5. Proportion is an equality of ratios. Four quantities are proportion when the ratio of the first to the second is equal in The equality of two ratios is indicated by the sign of equality (=), or by four dots (: :). Thus,... | |
 | James Hamblin Smith - Arithmetic - 1878 - 390 pages
...=3x9, .'. number required = ^. = 5|. • 198. Three numbers are said to be in CONTINUED PROPORT1ON when the ratio of the first to the second is ' equal to the ratio of the second to the third. Thus 3, 6, 12, are in continued proportion, The second number is called a MEAN... | |
 | James Maurice Wilson - 1878 - 450 pages
...consequents, B, Q. Def. 7. Three magnitudes (A, B, C) of the same kind are said to be proportionals, when the ratio of the first to the second is equal to that of the second to the third : that is when A : B :: B : C. In this case C is said to be the third... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...of the modern French mathematicians. 303. A PROPORTION is an equality of ratios. Four quantities are in proportion when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios a : b and с : d, if equal to each other,... | |
 | James Thomson - 1880 - 408 pages
...Fonr numbers (or four numerics generally) constituting two equal ratios, and written in order so that the ratio of the first to the second is equal to the ratio of the third to the fourth (as, for instance 10, 15, 8, 12), are commonly called four proportionals. The first and last of the... | |
 | James Hamblin Smith - 1883 - 466 pages
...the other product must form the means. 358. Three quantities are said to be in CONTINUED PEOPOETION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus a, b, c are in continued proportion if a : 6 = 6 : c. The quantity b is called... | |
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Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. 
