 | Thomas Simpson - 1760 - 296 Seiten
...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 - 1812 - 620 Seiten
...Proportional, 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 fourth, as the fourth to the fifth, and so on, all in the same common ratio. As in the quantities 1, 2, 4, 8, 16, &c ; where the common ratio is equal... | |
 | James Wood - 1815 - 338 Seiten
...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 - 1818 - 646 Seiten
...Proportional, 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...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 - 376 Seiten
...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... | |
 | John Imison - 1822 - 488 Seiten
...: 1 : : 12:4; then by 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...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... | |
 | Charles Hutton - 1822 - 616 Seiten
...Proportional, 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 fourth, as the fourth to the fifth, and so on, all in the same common ratio. As in the quantities 1, 2, 4, 8, 16, &c. ; where the common ratio is... | |
 | Rev. John Allen - 1822 - 516 Seiten
...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 (Civil engineer) - 1830 - 240 Seiten
...antecedent. Thus, if 3 : 1 :: 12 : 4 ; then, by division, 3 — 1 : 1 :: 12 — 4 : 4, and 3—1 : 3:: 12— 4: 12. 98. Continued proportion is when...ratios together, in the following manner : If A be to B as 3 to 5, B to C as 5 to 8, and C to D as 8 to 6 ; then A will be D, as ==^ , that is> A : D... | |
 | Pierce Morton - 1830 - 584 Seiten
...B. [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 :... | |
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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. 
