 | 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... | |
 | 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... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...forms : a:b = c:d; a:b::c:d; — = — • ba 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... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...equality between two ratios is called a proportion, and the four terms are called proportionals. If the ratio of a to b is equal to the ratio of c to d, the proportion may be expressed in either of the following forms : - = -, a:b = c:d, or a:b::c:d.... | |
 | Edinburgh Mathematical Society - Electronic journals - 1899 - 340 pages
...A and B, the four magnitudes A, B, C, D are defined to be proportionals or to be in proportion when the ratio of A to B is equal to the ratio of C to D The proportion is often expressed by the notation A:B = C:D * or, in words, " A is to B as C... | |
 | William James Milne - Algebra - 1901 - 462 pages
...lines that form the sign of equality. The proportion a : b = с : d, or о : b : : с : d, is read, the ratio of a to b is equal to the ratio of с to d, or a is to & as с is to d. 322. The antecedents and consequents of the ratios that form a proportion... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...• ac a:b = c:d; a:o ::c:d; - = — • 0 CL 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... | |
 | George Albert Wentworth - Algebra - 1906 - 440 pages
...376. If the ratios ct : 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::c:d (read a is to b in the same ratio as с is to d). The four numbers a, b, c, d are called... | |
 | George Albert Wentworth - 1894 - 218 pages
...formed by two equal ratios a : b and c : d may be written in three ways : (1) a : b = c : d (read, the ratio of a to b is equal to the ratio of c to d). (2) a : b : : c : d (read, a is to b as c is to d). tv\ a - c (3) -b~d a and d are the extremes,... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...proportion may be written in three different forms ; as, - = -; a:b=c:d; a:b::c:d. bd Each form is 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." 319 The terms of a proportion are the four... | |
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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. 
