 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...: B and C : D is ACAXC BX D' °r BX D' 125. 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 A... | |
 | James Hamblin Smith - 1869 - 412 pages
...factors of 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... | |
 | P. Austin Nuttall - Science - 1869 - 356 pages
...he found. — In mathematics, the equality of ratios ; four numhers or quantities heing said to he in proportion when the ratio of the first to the second is the same as that of the third to the fourth, as z, 6, 3, 9, in which the equal ratios of a to 6 and... | |
 | 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... | |
 | 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... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...Proportionals, and the last is the fourth proportional to the other three in their order. 367. Three numbers are in proportion when the ratio of the first to the second equals the ratio of the second to the third ; as, 8 : 12 : : 12 : 18. The second number is called a... | |
 | 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... | |
 | James Hamblin Smith - Algebra - 1872 - 454 pages
...factors of the other product must form the means. 358. 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 : 6=6 :e. The quantity 6 is called... | |
 | Francis Young (F.R.G.S.) - 1872 - 204 pages
...composing them are said to be in proportion. In other words, " Four quantities or numbers are said to be in proportion when the ratio of the first to the second, is the same a« the ratio of the third to the fourth." Thus, the ratios of 8 to 1o, and 24 to 48, being... | |
 | 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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PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third. 
