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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. "
Elements of Geometry and Trigonometry: With Applications in Mensuration - Page 70
by Charles Davies - 1886 - 324 pages
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Transactions of the Cambridge Philosophical Society

Cambridge Philosophical Society - Philosophy - 1898 - 366 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...
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Plane Geometry

Royal A. Avery - Geometry, Modern - 1925 - 360 pages
...divided by its consequent. 271. A proportion is a statement that two ratios are equal. The statement that the ratio of a to b is equal to the ratio ft A of c to d is written - = -, or a : b = c: d. The four numbd bers are said to be proportional....
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Mechanics and Natural Philosophy before the Scientific Revolution

Walter Roy Laird, Sophie Roux - Science - 2008 - 320 pages
...short: if a double ratio comes from a speed B and a triple ratio from a speed A, then, permutatim, the ratio of A to B is equal to the ratio of 3:1 to 2:1. We note that Etienne Gaudet copies this "demonstration" without comment.26 What Dumbleton...
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Midland Druggist and the Pharmaceutical Review, Volume 49

1915 - 680 pages
...of ratios. a Thus a: b, or , indicates the ratio a to b b a : b = c : d, is a proportion, indicating that the ratio of a to b is equal to the ratio c to d. In a proportion the relation of the termij is such that the product of the first and fourth...
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