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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 - 1875 - 406 pages
...obepⅠoportl0Ⅱ れ Ⅰ 士 06 ・ Ihus @ の ㏄ る ・ 182. 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 み ぱ 一 一 一 一 ' のり ・ theuaHt" q ・ n @ e8 の , &...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...A to B. 61. Proportion is the equality of ratios. In other words, four magnitudes form a proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. Since the two members of any equality can be interchanged, it follows from this...
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Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...consequents B, Q. DEF. 7. Three magnitudes (A, B, C) of the same kind are said to be proportionals, when the ratio of the first to the second is equal to that of the second to the third : that is when A : B :: B : C. In this case C is said to be the third...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 458 pages
...the other antecedent must be greater than its consequent ; if equal, equal ; and if less, less. 1 2. Three quantities are said to be proportional when...ratio of the second to the third ; thus, if A, B, and.C are in proportion, then A:B::B:C, or, A:B=B:C. In this case the middle term is said to be a mean...
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A Treatise on Arithmetic

James Hamblin Smith, Thomas Kirkland, Scott, William, b. 1845 - Arithmetic - 1877 - 376 pages
...required = 3X9, .'. number required = ^T = 5|.. 219. Three numbers are said to be in OtwrnroED PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus 3, 6, 12 are continued proportion, for f = A. The second number is called a MEAN PBOPOBTIONAL between...
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Bradbury's Elementary Algebra: Designed for the Use of High Schools and ...

William Frothingham Bradbury - Algebra - 1877 - 280 pages
...T, ie - -f- т = -, or b : a. ab 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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Elementary geometry

James Maurice Wilson - 1878
...consequents, B, Q. Def. 7. Three magnitudes (A, B, C) of the same kind are said to be proportionals, when the ratio of the first to the second is equal to that of the second to the third : that is when A : B :: B : C. In this case C is said to be the third...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1880 - 452 pages
...the other antecedent must be greater than its consequent; if equal, equal ; and if less, less. 12. Three quantities are said to be proportional when...third ; thus, if A, B, and C are in proportion, then A:B::B:C, or, A:B=B:C. In this case the middle term is said to be a mean proportional between the other...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1880 - 456 pages
...the other antecedent must be greater than its consequent ; if equal, equal ; and if less, less. 12. Three quantities are said to be proportional when...the second is equal to the ratio of the second to tho third ; thus, if A, B, and C are in proportion, then A:B::B:C, or, A:B=B:C. , In this case the...
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A treatise on arithmetic. [With] Key, Volume 1

James Thomson - 1880 - 412 pages
...Fonr numbers (or four numerics generally) constituting two equal ratios, and written in order so that the ratio of the first to the second is equal to the ratio of the third to the fourth (as, for instance 10, 15, 8, 12), are commonly called four proportionals. The first...
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