 To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.  New University Algebra - Page 264by Horatio Nelson Robinson - 1875 - 412 pagesFull view - About this book
 | Webster Wells - Geometry - 1894 - 398 pages
...POLYGONS. DEFINITIONS. 227. A Proportion is a statement that two ratios are equal. The statement that the ratio of a to b is equal to the ratio of c to d, may be written in either of the forms a:b — c: d, or - = -. bd ^ Of C 39? The first and fourth terms... | |
 | John Macnie - Geometry - 1895 - 386 pages
...Thus A (1 each of the equalities A : B = C : D, — = —, expresses a proportion that may be read, the ratio of A to B is equal to the ratio of C to D ; or more briefly, A is to B as C is to D. 229. The first and fourth terms of a proportion are called... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...second number to the first number. If A, B be two magnitudes such that m times A is equal to n times B, the ratio of A to B is equal to the ratio of n to m. Similarly, if m times A be greater than n times B, the ratio of A to B is greater than that... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1896 - 152 pages
...Circles are circles having the same centre. 84. Proportionals are four quantities, a, b, c, d, such that the ratio of a to b is equal to the ratio of c to d; that is, such that a : b = c : d. The quantity d is called the fourth proportional to a, b, and c.... | |
 | Webster Wells - Algebra - 1897 - 522 pages
...also expressed a : b. b SOL A Proportion is a statement that two ratios are equal. The statement that the ratio of a to b is equal to the ratio of с to d, may be written in either of the forms a : b = с : d, or - = -• bd 302. The first and fourth... | |
 | Cambridge Philosophical Society - Science - 1898 - 364 pages
...the measure of the ratio of A to B is the same as the measure of the ratio of C to D, and therefore the ratio of A to B is equal to the ratio of C to D. Hence any of the preceding propositions in which it has been proved that the scale of A, B is the same... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...AND PROPORTION. SIMILAR FIGURES. DEFINITIONS. 197. A Proportion is an equality of ratios. That is, if the ratio of a to b is equal to the ratio of c to d, they form a proportion, which may be written a:b — c:d, or - = -, or a:b::c:d, ba and is read a is... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...POLYGONS. DEFINITIONS. 227. A Proportion is a statement that two ratios are equal. 228. The statement that the ratio of a to b is equal to the ratio of c to d, may be written in either of the forms a:b = c:d. or - = -- bd 229. The first and fourth terms of a... | |
 | George Albert Wentworth - Algebra - 1898 - 516 pages
...334. If the ratios a : b and с : d form a proportion, the proportion is written a : b = с : d (read the ratio of a to b is equal to the ratio of с to d), or a : b : : с : d (read a is to b in the same ratio as с is to d). The first and last... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...forms : i u cL a:b — c:d; a:b::c: d; j = ~,, This proportion is read, " a, is to b as c is to d "; or " the ratio of a to b is equal to the ratio of c to d." 324. The terms of a proportion are the four quantities compared ; the first and third terms are called... | |
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