 | Thomas Simpson - 1760 - 296 σελίδες
...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,... | |
 | James Wood - 1815 - 338 σελίδες
...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 - 1816 - 610 σελίδες
...Third Proportional to the first and second. 81. Of four proportional quantities, the last is s.iid to be a Fourth Proportional to the other three, taken...common ratio. As in the quantities 1, 2, 4, 8, 16, Sec ; where the common ratio is equal to 2. 83. Of any number of quantities, A, a, c, D, the ratio... | |
 | Charles Hutton - 1818 - 646 σελίδες
...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...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 σελίδες
...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 σελίδες
...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 - 1822 - 516 σελίδες
...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... | |
 | Charles Hutton - 1825 - 608 σελίδες
...a Third Proportional to the first and second. 81. Of four proportional quantities, the last is raid to be a Fourth Proportional to the other three, taken...in the same common ratio. As in the quantities 1, '-, 4, 8, 16, fee , where the common ratio is equal to 2. 83. Of any number of quantities, A, B, c,... | |
 | John Nicholson - 1825 - 838 σελίδες
...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 - 1008 σελίδες
...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... | |
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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. 
