 | Thomas Simpson - Geometry - 1760 - 300 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 - 618 pages
...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... | |
 | Euclid, Rev. John Allen - Astronomy - 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 - Electronic book - 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.) - Great Britain - 1825 - 795 pages
...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... | |
| |
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. 
