 | Gerardus Beekman Docharty - Geometry - 1867 - 474 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,... | |
 | James Pryde - Navigation - 1867 - 506 pages
...b, gives b = — . and c= -T-. 48. When three quantities are in continued proportion (that is, when the first is to the second as the second to the third) the second is said to be a mean proportional between the other two, and the third is said to be a third... | |
 | James Maurice Wilson - Geometry - 1868 - 150 pages
...the means, and conversely. COR. 5. If three straight lines are in continued proportion, that is, if the first is to the second, as the second to the third, then will the rectangle contained by the extremes be equal to the square on the mean, and conversely.... | |
 | Lewis Sergeant - 1873 - 182 pages
...two numbers whose sum is 3 a, and their difference a. Find them. (29.) Find three numbers such that the first is to the second, as the second to the third ; the third is 9 times the first, and the sum of the first and second is 12. (30.) There is a number... | |
 | William Alexander Willock - Circle - 1875 - 196 pages
...may be considered in another point of view. When three magnitudes are in continued proportion, since the first is to the second as the second to the third, there are two equal ratios, which, if compounded, must give a duplicate ratio, namely, the ratio compounded... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...one by the other. 4. Proportion is an equality of ratios. 5. Three quantities are in proportion when the first is to the second as the second to the third. Four quantities are in proportion when the first is to the second as the third to the fourth. For example,... | |
 | C R. Lupton - 1879 - 194 pages
...three terms in a proportion be given, the fourth may be found from the equation ad=bc. 160. Hence if the first is to the second as the second to the third, the product of the extremes is equal to the square of the mean. Thus, if a : ь : : ъ : с then ас,... | |
 | Edward Albert Bowser - Algebra - 1888 - 868 pages
...Quantities are said to be in continued proportion when the first is to the second, as the second is to the third, as the third to the fourth, and so on. Thus a, 6, c, cZ, e, f, . . . are in continued proportion when a:b — 6: c = c-.d = d:e = e:f = If... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1891 - 606 pages
...Quantities are said to be in continued proportion when the first is to the second, as the second is to the third, as the third to the fourth; and so on. Thus a, b, c, d, are in continued proportion when abc If three quantities a, b, c are in continued... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...Quantities are said to be in continued proportion when the first is to the second, as the second is to the third, as the third to the fourth ; and so on. Thus a, b, c, d, are in continued proportion when <z_ b _ с _ bod If three quantities a, b, с are... | |
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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. 
