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" 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. "
Elements of Algebra - Page 181
by Charles Davies - 1842 - 358 pages
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Elements of Algebra

Algebra - 1838 - 372 pages
...B is expressed by _ A' 169. If there be four magnitudes, A, B, C, and D, having such values that BD then A is said to have the same ratio to B, that C...the ratio of A to B is equal to the ratio of C to 1), 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 Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 372 pages
...When four quantities have this relation to each other, they are said to be in proportion. To indicate that the ratio of A to B is equal to the ratio of C to D, the quantities are usually written thus, A : B : : C : D, and read, A is to B as C is to D. The...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...proportion. And in general, if there be four quantities. A, B, C, and D, having such values that BD then A is said to have the same ratio to B that C...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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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...proportion. And in general, if there be four quantities, A, B, C, and D, having such values that B_D A~Cthen A is said to have the same ratio to B that C has to...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

Algebra - 1839 - 368 pages
...expressed by B T 169. If there be four magnitudes, A, B, C, and D, having such values that B -R. A~C' then A is said to have the same ratio to B, that C...to each other, they are said to be in proportion. IJence, proportion is an equality of ratios. To express that the ratio of A to B is equal to the ratio...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1840 - 266 pages
...proportion. And in general, if there be four quantities, A, B, C, and D, having such values that D_D ~A~C' then A is said to have the same ratio to B that C...to each other, they are said to be in proportion. H«nce, proportion is an equality of ratios. To express that the ratio of A to B is equal to the ratio...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...proportion. And in general, if there be four quantities, A, B, C, and D, having such values that S. D A~ C' then A is said to have the same ratio to B that C...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

Charles Davies - Algebra - 1845 - 382 pages
...B is expressed 169. If there be four magnitudes, A, B, C, and D, having such values that 2--RA ~ C' then A is said to have the same ratio to B, that C...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 is to D. The quantities...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...have such values that "RT) - is equal to -, then A is said to have the same ratio to B A \j that C has to D. When four quantities have this relation to each other, 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...
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Elements of Algebra: Including Sturm's Theorem

Algebra - 1847 - 386 pages
...to have the same ratio to B, that С has to D\ or, the ratio of A to В is equal to the ratio of С to D. When four quantities have this relation to each...equality of ratios. To express that the ratio of A to В is equal to the ratio of С to D, we write the quantities thus, A : В : : С : D, and read, A is...
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