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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

## First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...other, they are said to be in proportion. Hence, proportion is an equality of ratios. 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. The quantities which...

## Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 258 pages
...having such values that S. 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, they are said to be in proportion. Hence, proportion...

## Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...other, they are said to be in proportion. Hence, proportion is an equality of ratios. To express that the ratio of A to B is equal to the ratio of C to I), we write the quantities thus, A : B : : C : D. and read, A is to B, as C to D. The quantities which...

## Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...8x2:4x2=2; And the ratio of 8n-2 : 4-^-2=2. 1 1 . PROPORTION is an equality of ratios. Thus, if th« ratio of A to B is equal to the ratio of C to D ; ie, if A_C B~D' the four magnitudes A, B, C, D, form a proportion. So the numbers, 1*2, 4, 6, 2,...

## Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 368 pages
...having such values that 2--RA ~ 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, they are said to. be in proportion. Hence, proportion...

## Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...they are said to be in proportion. Proportion, then, is an equality of ratios. 9. To indicate that the ratio of A to B is equal to the ratio of O to D, the quantities are usually written thus, A : 1»: : C : D, and read. A is to B as C to D ;...

## Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...Q : R : : C : D. But as P and Q. are equal by supposition, they have the same ratio to R, that is, the ratio of A to B is equal to the ratio of C to D, or A : B : : C : DQED Corol. 1. When the two means, namely, the second and third terms, are equal,...

## Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 300 pages
...othtr, they are said to be in proportion. Hence, proportion is an equality of ratios. 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. The quantities which...