 | James B. Dodd - 1853 - 398 pages
...first of two quantities to the second, is the quotient of the first divided by the second. The inverse ratio of the first to the second, is the same as the direct ratio of the second to the first. For example, the direct ratio of 6 to 3 is f—2 ; the inverse... | |
 | J. R. Young - 1854 - 228 pages
...quantities are said to be in proportion, or to form a proportion, you are merely to understand, that the ratio of the first to the second is the same as the ratio of the third to the fourth ; in other words, that if you were to divide the first by the second, you would get the same complete... | |
 | George Roberts Perkins - Arithmetic - 1855 - 388 pages
...between 12 feet and 3 pounds ? Can the ratio be a denominate number ? How are four quantities related when the ratio of the first to the second is the same as the ratio of the third to the fourth t Which are called extremes ? Which are called means ? To what is the product of the extremes equal... | |
 | Benjamin Greenleaf - Arithmetic - 1857 - 452 pages
...2fur. 20rd. PROPORTION. 332. A PROPORTION is an equality of ratios. Any four numbers 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 9 : 3 and 6 : 2, being equal to each other, when... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...antecedent must be greater than its consequent ; if equal, equal ; and if less, less. Def. 3. Three quantities are said to be proportional, when the ratio of the first to the second is equal to the ratio of the second to the third ; thus, if A, B, and C are in proportion, then A : B... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...20rd 7mA PROPORTION. 332, A PROPORTION is an equality of ratios. Any four numbers 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 9 : 3 and 6 : 2, being equal to each other, when... | |
 | Benjamin Greenleaf - Arithmetic - 1858 - 472 pages
...2fur. 20rd. PROPORTION. 332, A PROPORTION is an equality of ratios. Any four numbers 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 9 : 3 and 6 : 2, being equal to each other, when... | |
 | Charles Hutton - Mathematics - 1860 - 1020 pages
...third. As of the three quantities A (2), В (4), С (R), where \ = f = J, both the same ratio. 79. Four quantities are said to be proportional, when...the second, is the same as the ratio of the third t«> the fourth. As of the four A (4), В (2), С (10), D (5), where } = у = 2, both the same ratio.... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...AC AXC BX D'°r BXD' 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 AY 126. Proportion... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...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,... | |
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Four quantities are said to be proportional when the ratio of the first to the second is the same as the ratio of the third to the fourth. 
