 | Charles Hutton - Mathematics - 1811 - 406 pages
...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 to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio. As in the; quantities 1, '2, 4,... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...OF in Continued 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. As in the quantities 1, 2, 4,... | |
 | William Nicholson - Natural history - 1821 - 376 pages
...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 - 616 pages
...or in Continued 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. As in the quantities 1, 2, 4,... | |
 | Rev. John Allen - Astronomy - 1822 - 508 pages
...second. 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 on.. 13. The ratio of the first, of any number of magnitudes of the same kind, to the last, is said to be... | |
 | John Imison - Art - 1822 - 488 pages
...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 third ; as the third to the fourth ; as the fourth to the fifth ; and so on. 64. Compound ratio is formed by the multiplication of several... | |
 | Rev. John Allen - Astronomy - 1822 - 516 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 said to... | |
 | John Nicholson (civil engineer.) - Great Britain - 1825 - 1008 pages
...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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...[П. } l 11. Any number of magnitudes of the saine kind are said to be in continued proportion, when the first is to the second, as the second to the third, as the third to the fourth, and so on. Magnitudes A, B, C, D, Sec. which are in continued proportion, may be thus written, A : В : С : D... | |
 | John Nicholson (Civil engineer) - Building - 1830 - 240 pages
...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 third ; as the third to the fourth ; as the fourth to the fifth ; and so on. 99. Compound ratio is formed by the multiplication of several... | |
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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. 
