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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. "
Manual of Geometry and Conic Sections: With Applications to Trigonometry and ... - Page 70
by William Guy Peck - 1876 - 366 pages
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New University Algebra

Horatio Nelson Robinson
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The Electrical Review, Volume 4

Electrical engineering - 1876 - 352 pages
...where the wires diverge and meet again. When the resistances of A, B, C, and D are so related that the ratio of A to B is equal to the ratio of C to D, then the points E and F are at the same level or the same potential with regard to electricity, and...
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Transactions of the Cambridge Philosophical Society, Volume 16

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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The Contents of the Fifth and Sixth Books of Euclid (with a Note on ...

Euclid - Euclid's Elements - 1908 - 196 pages
...less than. > Not greater than.' A~B The difference of A and B. A : B The ratio of A to B. A : B=C : D The ratio of A to B is equal to the ratio of C to D. -X- Compounded with. (Art. 191.) -. Aggregated with. (Art. 194.) SECTION I. PROPOSITIONS 1—8. ON...
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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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pitt press mathematical series euclids elements of geometry

h. m. taylor - 698 pages
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