| Thomas Simpson - Geometry - 1760 - 276 pages
...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 - Mathematics - 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...A, B, c, D, the ratio of the first A, to the last** D, is said to be Compounded of the ratios of the first t° the second, of the second to the third,... | |
| James Wood - Algebra - 1815 - 305 pages
...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... | |
| William Nicholson - Natural history - 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 - Mathematics - 1822
...Proportional to the other three, taken in order. 82. Quantities are said to be Continually Proportional, or **in Continued Proportion, when the ratio is the same...A, B, c, D, the ratio of the first, A, to the last** D, is said to be Compounded of the ratios of the first to the second, of the second to the third, and... | |
| John Imison - Art - 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 - Geometry - 1822 - 494 pages
...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... | |
| John Nicholson - Machinery - 1825 - 795 pages
...by division, 3 — I : 1 :: 12— 4 : 4, and 3—1 : 3 :: 12—4 : 12. 98. 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.** 99. Compound ratio is formed by the multiplication of several antecedents and the several consequents... | |
| John Nicholson (civil engineer.) - 1825
...then, by division, 3 — 1 : 1 :: 124 : 4, and 3—1 : 3 :: 12—4 : 12. 98. Continued proportion is **when the first is to the second as the second to the...third ; as the third to the fourth ; as the fourth to** dx fifth ; and so on. 99. Compound ratio is formed by the multiplication of several antecedents and... | |
| John Nicholson (civil engineer.) - Building - 1830 - 182 pages
...by division, 3 — 1 : 1 :: 12 — 4 : 4, and 3—1 : 3:: 12— 4: 12. 98. 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.** 99. Compound ratio is formed by the multiplication of several antecedents and the several consequents... | |
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