| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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 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,... | |
| 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 - 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... | |
| 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... | |
| 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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