Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio. Elementary Course of Geometry ... - Pągina 51per Charles William Hackley - 1847 - 103 pąginesVisualització completa - Sobre aquest llibre
| 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...common ratio. As in the; quantities 1, '2, 4, 8, 16,** &c ; where the common ratio is equal to 2. 83. Of any number of quantities, A, B, c, D, the ratio of... | |
| 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...common ratio. As in the quantities 1, 2, 4, 8, 16,** &c ; where the common ratio is equal to 2. 83. Of any number of quantities, A, B, c, D, the ratio of... | |
| 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,...common ratio. As in the quantities 1, 2, 4, 8, 16,** &c. ; where the common ratio is equal to 2. 83. Of any number of quantities, A, B, c, D, the ratio... | |
| 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... | |
| Euclid, 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... | |
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