 | John Nicholson (Civil engineer) - Building - 1830 - 240 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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...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 :... | |
 | Charles Hutton - Mathematics - 1831 - 632 pages
...Proportional between the other two ; and the last, a Third Proportional to the first and second. 81. Of four proportional quantities, the last is said to...in the quantities 1, 2, 4, 8, 16, &c. : where the com. mon ratio is equal to 2. 83. Of any number of quantities, А, в, с, D, the ratio of the first... | |
 | Charles Hutton - Mathematics - 1831 - 660 pages
...Proportional between the other two ; and the last, a Third Proportional to the first and second. 81. Of four proportional quantities, the last is said to...common ratio. As in the quantities 1, 2, 4, 8, 16, &c. ; whore the common ratio is equal to 2. 83. Of any number of quantities, А, в, с, D, the ratio of... | |
 | Nicolas Pike - Arithmetic - 1832 - 540 pages
...proportionals are required to two given numbers, there will be four terms in the proportion, in which the first is to the second, as the second to the third, and the third to the fourth. The numbers therefore belong to a geometrical progression of four terms.... | |
 | Industrial arts - 1835 - 398 pages
...Proportional, or in Continued Proportion, when the ratio is the same between every two adjacent terms, namely, when the first is to the second as the second to the...as the fourth to the fifth, and so on, all in the common ratio. As in the quantities 1, 2, 4, 8, 16, dec. where the common ratio is equal to 2. 8. Of... | |
 | Mathematics - 1835 - 684 pages
...to A and B. 1 1 . Any number of magnitudes of /he game hind are said to be in continued proportion, when the first is to the second, as the second to the third, as the ihird to the fourth, and so on. Magnitudes A, U, C, D, &c. which are in continued proportion, may he... | |
 | William Whewell - 1837 - 226 pages
...Geometrical Progression. 61. 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. Or when every succeeding term is u certain multiple or part of... | |
 | Olinthus Gregory - Euclid's Elements - 1840 - 208 pages
...of arithmetic, are in violation of this principle.] (i.) When three quantities are proportional, ie, when the first is to the second as the second to the third, the ratio of the first to the third is equal to the duplicate ratio of the first to the second. (k.)... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...proportional quantities, the last is said to be a Fourth Proportional to the other three, taken in order. 81. Quantities are said to be Continually Proportional,...common ratio. As in the quantities 1, 2, 4, 8, 16, <fcc., where the common ratio is equal to 2. 82. Of any number of quantities, A, B, C, D, the ratio... | |
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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. 
