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" Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. "
Elements of Geometry and Conic Sections - Page 37
by Elias Loomis - 1857 - 226 pages
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1857 - 408 pages
...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 said to be in proportion....
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 234 pages
...quantities, the last is called a fourth proportional to the other three, taken in order. Since A=C, BD it is obvious that if A is greater than B, C must...: : B : C. In this case the middle term is said to be a mean proportional between the other two. Def. 4. Two magnitudes are said to be equimultiples ol...
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The University Algebra ...

John Fair Stoddard, William Downs Henkle - Algebra - 1859 - 538 pages
...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 between the other two, and the third quantity...
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Arithmetic for High Schools: Containing the Elementary and the Higher ...

James B. Dodd - Arithmetic - 1859 - 370 pages
...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 — —IThe first and...
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Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - Algebra - 1859 - 306 pages
...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 to the third divided by...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1860 - 414 pages
...changes of value, then a is said to be proportional to b. • 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 the quantities a, 6, c and d, are said to be in propoition. We generally...
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Practical arithmetic for senior classes

Henry G C. Smith - 1863
...16:8. The first term, 16, is called the Antecedent, and the second, 8, the Consequent. Pour numbers are said to be Proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. On examining the four numbers, 14, 8, 35, 20, we find V = i5, or 14 : 8 = 85 :...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...to 6 is | or ; that of 6 to 4 is or |, &c. 79. Proportion is an equality of ratios. Thus, 80. Three quantities are said to be proportional when...is equal to the ratio of the second to the third. As of the three quantities A (2), B (4), C (8), where f =•• =-|, both the same ratio. 81. Four...
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The Quarterly journal of education and scholastic advertiser

1872
...8. 15. On comparing Def. 3 with Def. 1, it will be seen that when four quantities are in proportion, the ratio of the first to the second is equal to the ratio of the third to the fourth. Hence we may denote a proportion thus — 3:4 = 6:8 which is read — the ratio...
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 264 pages
...ie — j- •; = -, or 6 : a. ao aba 195. PROPORTION is an equality of ratios. Four quantities are proportional when the ratio of the first to the second is equal to the ratio of the third to the fourth. The equality of two ratios is indicated by the sign of equality (=) or by four...
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