 | John Bonnycastle - 1811 - 230 σελίδες
...ar, 6r, 6 are in inverse proportion. A series of quantities are said to be in geometxical progression when the first has the same ratio to the second as the second to the third, the third to the fourth, &c. Thus, 2, 4, 8, 16, 32, 64, We. and a, ar, ar2, ar>,... | |
 | Charles Hutton - 1811 - 406 σελίδες
...geometrical progression, or continuous proportion, when every two terms have always the same ratio, or when the first has the same ratio to the second as the second to the third, and the third to the fourth, &c. Thus, 2, 4, 8, 16, 32, 64, &C, and a, ar^ at*-j... | |
 | Charles Hutton - 1812 - 620 σελίδες
...geometrical progression, or continuous proportion, when every two terms have always the same ratio, or when the first has the same ratio to the second as the second to the third, and the third to the fourth, &c. Thus, 2, 4, 8, 16, 32, 64, Sec, and a, ar, ar3,... | |
 | Charles Hutton - 1822 - 616 σελίδες
...geometrical progression, or continuous proportion, when every two terms have always the same ratie, or when the first has the same ratio to the second, as the second to the third, and the third to the fourth, &c. Thus, 2,4, 8, 16, 32, 64, &c, and a, ar, ara,ar3,... | |
 | Rev. John Allen - 1822 - 516 σελίδες
...Proportion cannot consist in less than three terms. 9. Three magnitudes, are said to be proportional, when the first has the same ratio to the second, as the second has to th«" third. 10. Of three proportional magnitudes, the middle one, is said to be, a mean... | |
 | Thomas Keith - 1822 - 354 σελίδες
....— The ttule of Three Direct teaches, by three given numbers, to find a fourth, which shall have the same ratio to the second as the third has to the first ; that is, if the first be greater than the third, the second will be greater than the fourth... | |
 | Nicolas Pike - 1822 - 562 σελίδες
...The Rule of Three Direct teaches, by having three numbers* given, to find A fourth, which shall have the same ratio to the second, as the third has to the jirst. The Kule of Three Inverse teaches, by having three numbers given, to find a fourth, which shall... | |
 | James Gordon Carter - 1824 - 150 σελίδες
...catching the truth by legerdemain. To assign as a reason for such statement, that the " first term has the same ratio to the second, as the third has to the fourth," is, if possible, more unphilosophical. It is not only ridiculous, but absurd. A ratio, that is, any... | |
 | Euclides - 1826 - 226 σελίδες
...multiplied by the number of the first ratios. PROPOSITION XIV. THEOREM. If the first magnitude have the same ratio to the second, as the third has to the fourth, if the first be greater than the third, the second will also be greater than the fourth ; if equal,... | |
 | Euclid - 1826 - 234 σελίδες
...multiplied by the number of the first ratios. PROPOSITION XIV. THEOREM. If the first magnitude have the same ratio to the second, as the third has to the fourth, if the first be greater than the third, the second ivilL also be greater than the fourth ; if equal,... | |
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In a direct proportion, the first term has the same ratio to the second, as the third has to the fourth. 
