 | Richard Wormell - Geometry, Modern - 1868 - 286 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... | |
 | James Hamblin Smith - 1869 - 412 pages
...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... | |
 | James Hamblin Smith - Algebra - 1870 - 478 pages
...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... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 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... | |
 | 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... | |
 | Charles W. Merrifield - Arithmetic - 1872 - 332 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,... | |
 | 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... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 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... | |
 | Daniel W. Fish - Arithmetic - 1874 - 302 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... | |
 | 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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Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. 
