| Thomas Simpson - 1760 - 276 pągines
...proporE. tional (or in continual proportion) when the firft i. 2. 4. . js to ^ feconj) as ,-he fecond **to the third, as the third to the fourth, as the fourth to the fifth, and** fo on. 7. In a feries, or rank of quantities continually proportional, the ratio of the firft and third,... | |
| Charles Hutton - 1811
...Proportional, or in Contmued Proportion, when the ratio is the same between every two adjacent t^rms, **viz. when the first is to the second, as- the second...8, 16, &c ; where the common ratio is equal to 2.** 83. Of any number of quantities, A, B, c, D, the ratio of the first A, to the last D, is said to be... | |
| Charles Hutton - 1812
...Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional, OF **in Continued Proportion, when the ratio is the same...8, 16, &c ; where the common ratio is equal to 2.** 83. Of any number of quantities, A, B, c, D, the ratio of the first A, to the last p, is said 10 be... | |
| James Wood - 1815 - 305 pągines
...PROGRESSION. (214.) Quantities are said to be in geometrical progression, or continual proportion, **when the first is to the second, as the second to the third,** ajid as the third to the fourth, &c. that is, when every succeeding term is a certain multiple, or... | |
| Charles Hutton - 1816
...proportional quantities, the last is s.iid to be a Fourth Proportional to the other three, taken in order. 82. **Quantities are said to be Continually Proportional,...common ratio. As in the quantities 1, 2, 4, 8, 16,** Sec ; where the common ratio is equal to 2. 83. Of any number of quantities, A, a, c, D, the ratio... | |
| Charles Hutton - 1818
...proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 82. **Quantities are said to be Continually Proportional,...third, as the third to the fourth, as the fourth to the** Mb, and so on, all in the same common ratio. As in the quantities J, 2, 4, 8, 16, &c. ; where the common... | |
| William Nicholson - 1821
...PROGRESSION, geometrical. Quantities are said to be in geometrical progression, or continual proportion, **when the first is to the second, as the second to the third,** and as the third to the fourth, &c. that is, when every succeeding term is a certain multiple, or part... | |
| Charles Hutton - 1822
...proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 82. **Quantities are said to be Continually Proportional,...8, 16, &c. ; where the common ratio is equal to 2.** 83. Of any number of quantities, A, B, c, D, the ratio of the first, A, to the last D, is said to be... | |
| John Imison - 1822
...division 3 — 1 : 1 : : 12 — 4 : 4 and 3 — 1 : 3 : : 12 — 4> : 12. 63. Continued proportion is **when the first is to the second as the second to the...the fourth ; as the fourth to the fifth ; and so on.** 64. Compound ratio is formed by the multiplication of several antecedents and the several consequents... | |
| Rev. John Allen - 1822 - 494 pągines
...in order. 12. Magnitudes, are said to be continually proportional, when the first has the same ratio **to the second, as the second to the third, as the third to the fourth,** and so on13. The ratio of the first, of any number of magnitudes of the same kind, to the last, is... | |
| |