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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. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Page 242
by Thomas Malton - 1774 - 440 pages
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...having such values that B _D 1~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,...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 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,...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 268 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,...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 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,...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 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 ;...
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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,...
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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...
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Elements of Algebra: Including Sturms' Theorem

Algebra - 1848 - 394 pages
...having such values that B _D_ 1~ C' then A is said to have the same ratio to B, that С has to D ; or, the ratio of A to B is equal to the ratio of С to D. When four quantities have this relation to each other, they are said to he in proportion....
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...values that —is equal to—, then A is said to have the same ratio AC K 1) 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. To indicate...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...other, they are said to be in proportion. Hemce, proportion is an equality of ratios. To express that the ratio of A to B is equal to the ratio of C to Dj we write the quantities thus : A : B : : C : D; .and read, A is to B, as C to D. The quantities...
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