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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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Elementary Algebra

George Hervey Hallett, Robert Franklin Anderson - Algebra - 1917 - 432 pages
...called bd the terms of the proportion. Note. A proportion is often written я : h = с. : d ; read, the ratio of a to b is equal to the ratio of с to d. An old form and one less frequently used is a : ft : : с : d. 172. Extremes and means. The...
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Essentials of Plane Geometry

David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...is often used. All three forms have the same meaning, and each 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." 197. Terms. In a proportion the four quantities compared are called the terms. The first and third...
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Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 5

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - Encyclopedias - 1910 - 546 pages
...third to the fourth. A proportion may be written in either of two ways; thus if the ratio of a to & is equal to the ratio of c to d, the equality may be indicated by either of the following expressions: & d — = — , or ti: h: :<••.(!. Either of them may be read a is to 6...
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Experiencing Architecture, second edition

Steen Eiler Rasmussen - Architecture - 1964 - 260 pages
...is to the second as the second is to the whole. If we call the two parts a and b, respectively, then the ratio of a to b is equal to the ratio of b to a+b. This may sound somewhat complicated but is easily grasped when seen in diagram. Until recently...
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Arithmetic: A Straightforward Approach

Martin M. Zuckerman - Mathematics - 1998 - 406 pages
...proportion. DEFINITION A proportion is an equation of the form — = — bd A proportion says that the ratio of a to b is equal to the ratio of с to d. In Example 2, the equation is a proportion. Example 2 »> If - = -, find л-. Solution. Multiply...
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Number: From Ahmes to Cantor

Midhat J. Gazalé - Mathematics - 2000 - 340 pages
...also have mc > nd, then a/b = c/d. The definition given by Eudoxus may thus be rephrased as follows: The ratio of a to b is equal to the ratio of c to d if, whatever multiples ma and mc are chosen, and whatever multiples nb and nd are chosen, then either...
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SAT: The Very Best Coaching and Study Course for the Scholastic Assessment ...

Robert Bell, Suzanne Coffield, George DeLuca, Joseph Fili, Anita Price Davis, Marilyn Gilbert, Bernice E. Goldberg - Study Aids - 2000 - 1014 pages
...manipulate ratios given a set of constraints. PROBLEM Let A, B, C, and D be positive integers. Assume that the ratio of A to B is equal to the ratio of C to D. Find a possible value for A if the product of BC = 24 and D is odd. SOLUTION The quickest way to find...
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New Sat Rea: The Very Best Coaching & Study Course

Mel Friedman, Lina Miceli, Robert Bell, Michael Lee, Sally Wood, Adel Arshaghi, Suzanne Coffield, Michael McIrvin, Anita Price Davis, Research & Education Association, George DeLuca, Joseph Fili, Marilyn Gilbert, Bernice E. Goldberg, Leonard Kenner - Study Aids - 2005 - 886 pages
...manipulate ratios given a set of constraints. Let A, B, C, and D be positive integers. Assume that the ratio of A to B is equal to the ratio of C to D. Find a possible value for A if the product of BC = 24 and D is odd. SOLUTION The quickest way to find...
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The American Heritage Science Dictionary

American Heritage Dictionary - Reference - 2005 - 1054 pages
...milk, meat, or yeast. golden section (gol'den) The ratio between two numbers a and b chosen such that the ratio of a to b is equal to the ratio of a+b to a. Its value is approximately 1.618. Shapes with proportions equal to the golden section are...
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New Elementary Algebra Embracing the First Principles of the Science

Charles Davies - Algebra - 1891 - 312 pages
...D, having such values that B=D A C' then A is said to have the same ratio to B that C has to D, or the ratio of A to B is equal to the ratio of C to D. "When four quantities have this relation to each other, compared together two and two, they are said...
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