| Benjamin Greenleaf - 1862 - 518 pages
...and C : D is AC AX C BX D' OT B~X~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 ~^T each other,... | |
| Benjamin Greenleaf - 1863 - 504 pages
...and C : D is AC AX C 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 i ~V~ each other,... | |
| Benjamin Greenleaf - 1863 - 338 pages
...of the modern French mathematicians. 303. A PROPORTION is an equality of ratios. Four quantities 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 a : b and с : d, if equal to each other, form a... | |
| John Purdue Bidlake - 1866 - 232 pages
...composing them are said tobe 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** ns the ratio of the third to the fourth." Thus, the ratios of 8 to 16, and 24 to 48 being the same... | |
| William Thomas Brande, George William Cox - 1867 - 1090 pages
...In Arithmetic and Geometry, tho equality or similitude of ratios ; four numbers or magnitudes being **said to be proportional, or in proportion, when the...third to the fourth, or when the first divided by the** second gives the same quotient as the third divided by tho fourth. The definition of proportion has... | |
| Gerardus Beekman Docharty - 1867 - 474 pages
...where f=f —^, both the same ratio. 81. Four quantities are said to be proportional when thejatio **of the first to the second is the same as the ratio of the third to the fourth.** As of the four A (4), B (2), C (10), D (5), where i=±g.—2, both the same ratio. Note. To denote... | |
| Benjamin Greenleaf - 1868 - 340 pages
...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 "V each other,... | |
| P. Austin Nuttall - 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 3 to 9 may... | |
| 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 the same... | |
| Charles W. Merrifield - 1872 - 332 pages
...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, the ratio of... | |
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