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" Four quantities are said to be proportional when thejatio of the first to the second is the same as the ratio of the third to the fourth. "
A Dictionary of Science, Literature, & Art: Comprising the Definitions and ... - Page 113
edited by - 1867
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1857 - 452 pages
...Ans. 82m. 2fur. 20rd. PROPORTION. 332. A PROPORTION is an equality of ratios. Any four numbers are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios 9 : 3 and 6 : 2, being equal to each other, when...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1857 - 408 pages
...a and b undergo changes of value, then a is said to be proportional to 6. 183i four quantities are in proportion, when the ratio of the first to the second, is equal to the ratio of the third to the fourth. Thus, if b_ d_ ~^~~' the quantities a, b, c and d, are...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1858 - 458 pages
...Ans. 82m. 2fur. 20rd 7mA PROPORTION. 332, A PROPORTION is an equality of ratios. Any four numbers are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios 9 : 3 and 6 : 2, being equal to each other, when...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1858 - 456 pages
...Ans. 82m. 2fur. 20rd. PROPORTION. 332. A PROPORTION is an equality of ratios. Any four numbers are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios 9 : 3 and 6 : 2, being equal to each other, when...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - 1859 - 538 pages
...couplet is called the antecedent, and the second term the consequent . (379.) Three quantities are in proportion when the ratio of the first to the second is equal to the ratio of the second to the third. (38O.) The second quantity is called a mean proportional...
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Arithmetic for High Schools: Containing the Elementary and the Higher ...

James B. Dodd - 1859 - 368 pages
...price of flour ? PROPORTION. (141.) PROPORTION consists in an equality of ratios. Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus the numbers 6, 3, 8, 4 are in proportion, since...
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - 1859 - 368 pages
...their respective consequents — but is usually confined to four terms. (137.) Four quantities are in Proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth ; that is, when the first divided by the second is equal...
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A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - 1860 - 1020 pages
...(4), С (R), where \ = f = J, both the same ratio. 79. Four quantities are said to be proportional, when the ratio of the first to the second, is the same as the ratio of the third t«> the fourth. As of the four A (4), В (2), С (10), D (5), where } = у = 2, both the same ratio....
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1860 - 412 pages
...a and b undergo changes of value, then a is said to be proportional to b. 183t Four quantities are in proportion, when the ratio of the first to the second, is equal to the ratio of the third to the fourth. Thus, if b_ d_ "7 ~ T' the quantities a, b, c and d,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 638 pages
...B and C : D is AC AXC BX D'°r BXD' 125. A PROPORTION is an equality of ratios. Four magnitudes are in proportion, when the ratio of the first to the second is the same as that of the third to the fourth. Thus, the ratios" of A : B and X : Y, being equal to AY 126. Proportion...
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