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" 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. "
An Elementary Geometry - Page 25
by William Frothingham Bradbury - 1872 - 110 pages
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New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...compounded of A : B and C : D is .= X j^, 94. 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 each...
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The Complete Arithmetic: Oral and Written

Daniel W. Fish - Arithmetic - 1874 - 540 pages
...the consequents ; 8 and 5 are the extremes, 4 and 10 are the means. Three numbers are proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. Thus the numbers 4, 10, and 25 are proportional, since 4 : 10 = 10 : 25 the ratio...
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The Complete Arithmetic, Oral and Written: Second Part

Daniel W. Fish - Arithmetic - 1874 - 302 pages
...the consequents; 8 and 5 are the extremes, 4 and 10 are the means. Three numbers are proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. Thus the numbers 4, 10, and 25 are proportional, since 4 : 10 = 10 : 25, the ratio...
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New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...compounded- of A : B and C : D is -= X ^, 94. 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 each...
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - Algebra - 1875 - 490 pages
...亡 Ⅰ ・ 夕 @ @ ら @ ・ 七 obepⅠoportl0Ⅱ れ Ⅰ 士 06 ・ Ihus @ の ㏄ る ・ 182. Four quantities are in proportion when the ratio of...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 , & , c , andd , ares...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...the ratio 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 definition that if...
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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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Bradbury's Elementary Algebra: Designed for the Use of High Schools and ...

William Frothingham Bradbury - Algebra - 1877 - 280 pages
...to 6, or a divided by I. 1C5. PROPORTION is an equality of ratios. Four quantities are proportional when the ratio of the first to the second is equal...indicated by the sign of equality (=) or by four dots (::). ft g Thus, a : b = с : d, or a : b : : с : d, or j = -. : read, a to b equals с to d, or a...
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A Treatise on Arithmetic

James Hamblin Smith, Thomas Kirkland - Arithmetic - 1877 - 376 pages
...number 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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...consequent ; if equal, equal ; and if less, less. 1 2. Three quantities are said to be proportional when the ratio of the first to the second is equal to the 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...
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