 | William Whewell - 1837 - 226 pàgines
...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 - 1840 - 208 pàgines
...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 - 1847 - 248 pàgines
...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... | |
 | John Boag - 1848 - 790 pàgines
...cannot be obtained j without hazard. Perpetual. Continual proportions ! are, when the first quantity is to the second as the ' second to the third, as the third to the fourth, and i so on. CONTINUALLY, kon-tln'o-il-le, adv. Without pause or cessation; unceasingly. Very often;... | |
 | John Craig (F.G.S.) - 1848 - 1134 pàgines
...year or day, to land or other property. In Mathematics, continual provortionak aro quantities in which the first is to the second, as the second to the third, the third to the fourth, ami soon. CONTINUALLY, kon-tin'u-al-le, ml. Incessantly, without intermission... | |
 | James Elliot - 1850 - 116 pàgines
...NOTE. The successive terms of a geometrical progression are continual proportionals ; that is, — the first is to the second as the second to the third, as the third to the fourth, and so on. Consequently any term, standing between two others, is a mean proportional between them.... | |
 | Joseph Ray - 1852 - 408 pàgines
...is, if the product of the first and third of three quantities is equal to the square of the second, the first is to the second, as the second to the third. .. Non. — It is recommended to the teacher to require the pupils to illustrate all the propositions... | |
 | William Frederick Greenfield - 1853 - 228 pàgines
...— To find a third proportional to two given numbers. If three numbers are continued proportionals, the first is to the second, as the second to the third, therefore the product of the first and third is equal to the jquare of the second. Hence the third... | |
 | Joseph Ray - 1857 - 408 pàgines
...is, if the product of the first and third of three quantities is equal to the square of the second, the first is to the second, as the second to the third. NOTE. — It is recommended to the teacher to require the pupils to Illustrate all the propositions... | |
 | Theodore Strong - 1859 - 570 pàgines
...the other two terms. (33.) OF GEOMETKICAL PEOGKÏ.SSION8. lumbers or quantities which are such that the first is to the second as the second to the third, and the second to the third as the third to the fourth, and the third to the fourth as the fourth to... | |
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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. 
