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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

## 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...

## 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...

## Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 5

...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...

## 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...

## Arithmetic: A Straightforward Approach

Martin M. Zuckerman - Mathematics - 1985 - 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...

## Number: From Ahmes to Cantor

Midhat J. Gazalé - Number theory - 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...

## SAT: The Very Best Coaching and Study Course for the Scholastic Assessment ...

...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...

## Groundbreaking Scientific Experiments, Inventions, and Discoveries of the ...

Robert E. Krebs - Science, Medieval - 2004 - 352 pages
...interested in the "golden ratio" described in Divine Proportions as a : b = b : (a + b), that means the ratio of a to b is equal to the ratio of b to the sum of a and b. This "golden ratio" was aesthetically satisfying both mathematically and artistically,...