 | Gerardus Beekman Docharty - 1867 - 474 σελίδες
...that of 6 to 4 is £ or f , &c. 79. Proportion is an equality of ratios. Thus, 80. 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. As of the three quantities A (2), B (4), C (8), where... | |
 | Benjamin Greenleaf - 1868 - 340 σελίδες
...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 σελίδες
...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... | |
 | Charles W. Merrifield - 1872 - 332 σελίδες
...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, the ratio of... | |
 | Francis Young (F.R.G.S.) - 1872 - 204 σελίδες
...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... | |
 | Benjamin Greenleaf - 1873 - 202 σελίδες
...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 AX other,... | |
 | Benjamin Greenleaf - 1874 - 206 σελίδες
...and C : D is -= X ^, 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 other, when... | |
 | Elias Loomis - 1877 - 458 σελίδες
...antecedent must be greater than its consequent ; if equal, equal ; and if less, less. 1 2. 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::B:C,... | |
 | Aristotle - 1879 - 196 σελίδες
...repeated, the avaXoya will be four in number. And то SÍKaiov too has four terms at the least, and the ratio of the first to the second is the same as the ratio of the third to the fourth, for the persons J . and the things are similarly -'«H v ied. Thus as the... | |
 | Benjamin Greenleaf - 1879 - 350 σελίδες
...modern French mathematicians. i 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 fonrth. Thus, the ratios a : b and с : d, if equal to each other, form a... | |
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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. 
