| George Anthony Hill - Geometry - 1888 - 202 pages
...77. I. Define a proportion. Four quantities are said to be proportional, or to form a proportion, if **the ratio of the first to the second is equal to the ratio of the third to the fourth.** For example: since ^ = f, the numbers 4, 10, 2, 5, are proportional. A h EF CDGH Again, the lines AB,... | |
| George Anthony Hill - Geometry - 1888 - 200 pages
...77. 1. Define a proportion. Four quantities are said to be proportional, or to form a proportion, if **the ratio of the first to the second is equal to the ratio of the third to the fourth.** For example: since T4T = ^, the numbers 4, 10, 2, 5, are proportional. ABEF CDGH Again, the lines AB,... | |
| George Soulé - Arithmetic - 1888 - 568 pages
...and 8 are the consequents ; 3 and 8 are the extremes; and G and 4 are the means. 486. Three numbers **.are proportional, when the ratio of the first to the second is equal to the ratio of the** second to the third. Thus, 4, 8, and 16 are proportional, since 4 : 8 : : 8 : 16, each ratio be«g2.... | |
| William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 428 pages
...A : Б and ?/? A : т В. 303. Proportion is an equality of ratios. Four numbers are in proportion **when the ratio of the first to the second is equal...indicated by the sign of equality ( = ), or by four dots** (: :). CL С Thus, a •: b = с : d, or a : b : : с : d, or - = - ; read, a to & bd equals с to... | |
| William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 444 pages
...of A : Б and m A : т Б. 303. Proportion is an equality of ratios. Four numbers are in proportion **when the ratio of the first to the second is equal...indicated by the sign of equality ( — ), or by four** clots (: :). (1 С Thus, a : Ь = с : d, or a:b::c:d, or - = - ; read, a to о od equals с to d,... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...EATIO AND PROPORTION. SIMILAE FIGURES. D'EFINITIOTSS. 277. Four quantities are said to be in proportion **when the ratio of the first to the second is equal to the ratio of the third to the fourth.** Thus, if £ = ° then, A, B, C, D are said to be in proportion. The proportion is written A : B = C... | |
| Edward Albert Bowser - Geometry - 1891 - 424 pages
...KATIO AND PKOPOKTION. SIMILAR FIGUKES. DEFINITIONS. 277. Four quantities are said to be in proportion **when the ratio of the first to the second is equal to the ratio** oi the third to the fourth. Thus, if g = g, then, A, B, C, D are said to be in proportion. The proportion... | |
| Nathan Fellowes Dupuis - Algebra - 1892 - 362 pages
...quantity. PROPORTION. 82. Pour quantities are proportional, or are in proportion, or form a proportion, **when the ratio of the first to the second is equal to the ratio of the third to the fourth.** Thus a, b, c, d are proportional when a : b •— с : d. This may be expressed as - = - , and a proportion,... | |
| Euclid - Geometry - 1892 - 460 pages
...: A is the reciprocal of A : B. g. Three magnitudes 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. Thus A, B, C are proportionals if • A : B :: B : C. B is called... | |
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