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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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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1868 - 261 pages
...trouble ourselves to inquire what this unit is. Four lines are in proportion, or are proportionals, when the ratio of the first to the second is equal to the ratio of the third and fourth. Very simple geometrical constructions enable us, as we shall see, to draw four straight...
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A Treatise on Elementary Algebra

James Hamblin Smith - 1869
...the other product must form the means. 328. Three quantities are said to be in CONTINUED PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus a, b, с are in continued proportion if a : b = b : c. . The quantity b is called a MEAN PKOPOBTIONAL...
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Elementary algebra

James Hamblin Smith - 1870
...the other product must form the means. 358. Three .quantities are said to be in CONTINUED PBOPOKTION when the ratio of the first to the second is equal to the ratio of the second to the third. Thus a, 6, c are in continued proportion if a : b=b :c. Four quantities are said to be in Continued Proportion...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 16 pages
...trouble ourselves to inquire what this unit is. Four lines are in proportion, or are proportionals, when the ratio of the first to the second is equal to the ratio of the third and fourth. Very simple geometrical constructions enable us, as we shall see, to draw four straight...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...consequent ; if equal, equal ; and if less, less. Def. 3. Three quantities are said to be proportional, whey the ratio of the first to the second is equal to the ratio of th<i second to the third ; thus, if A, B, and C are in proportion then A : B : : B : C. In this case...
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Technical Arithmetic and Mensuration

Charles Watkins Merrifield - Arithmetic - 1872 - 308 pages
...chiefly useful is the equality of ratios, and this it is which is commonly called PROPORTION. Four quantities are said to be proportional when the ratio of the first to the second is the same as that of the third to the fourth. Simple cases of this are easily stated. For instance,...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...-}- T = -, or o : a. aba 4, Proportion is 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. The equality of two ratios is indicated by the sign of equality (=), or by four...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 238 pages
...bab 115, --*-T=jOro:. aba 1, Proportion is an equality of ratios. Four quantities arc in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. 2 The equality of two ratios is indicated by the sign of equality (=), or by four...
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The Complete Arithmetic, Oral and Written: Second Part

Daniel W. Fish - Arithmetic - 1874 - 300 pages
...antecedents, 4 and 5 are 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...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 of each couplet being...
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The Complete Arithmetic, Part 2

Daniel W. Fish - Arithmetic - 1874 - 298 pages
...antecedents, 4 and 5 are 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...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 of each couplet being...
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