 | Samuel Edward Warren - Mechanical drawing - 1883 - 182 pages
...second as the third is to the fourth. (6) A third proportional, to two given lines, is a line, such that the first is to the second as the second is to the third, ie the second is a mean proportional between the first line and the third, or required line. PKOB.... | |
 | John Harris - Geometry - 1884 - 188 pages
...— » — 14 PROP. XXXIII. THEOREM. If three lineal magnitudes be in continued proportion, so that the first is to the second as the second is to the third, the rectangle contained by the first and third equals the square on the second. Let ab and ac be the... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1885 - 412 pages
...extremes, b and с the means ; or vice versa. 297. DEFINITION. 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 ab с If... | |
 | Samuel Edward Warren - Drawing instruments - 1885 - 198 pages
...second as the third is to the fourth. (b) A third proportional, to two given lines, is a line, such that the first is to the second as the second is to the third, ie the second is a mean proportional between the first line and the third, or required line. PKOB.... | |
 | James Edward Oliver - Algebra - 1887 - 434 pages
...; how long would each pipe alone take to fill the vessel ? 195. A number consists of three digits ; the first is to the second as the second is to the third ; the number itself is to the sum of its digits as 124 to 7; and if 594 be added to it, the digits... | |
 | Edward Albert Bowser - Algebra - 1888 - 868 pages
...proportion, a and d are the extremes and b and c the means. 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... | |
 | Encyclopedias and dictionaries - 1888 - 932 pages
...children. It ia also I» be remarked that these three terms bear specific relations to one another, the first is to the second as the second is to the third. Thus, in the great triad of the religious world, — God, the Mediator, and Man, — God is to the Godilon... | |
 | George Albert Wentworth - Algebra - 1891 - 380 pages
...-\-pe-\-qg : mЬ-\-nd+pf-\-c[h=a : b. 318. Continued Proportion. Numbers are said to be in < continned proportion when the first is to the second as the second is to the third, and so on. Thus, a, b, c, d, are in continued proportion when - = - = — \JS19. If a, b, с are proportionals,... | |
 | George Albert Wentworth - Algebra - 1891 - 550 pages
...+ qg : mb -\- nd -\-pf-\- qh = a:b. 283. oontinued Proportion. Numbers are said to be in continued proportion when the first is to the second as the second is to the third, and so on. Thus, a, b, c, d, are in continued proportion when - = - = — For, if a : b = с : d, then... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1891 - 606 pages
...extremes, b and c the means ; or vice versa. 20. DEFINITION. 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... | |
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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. 
