 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.  A School Algebra - Page 297by George Albert Wentworth - 1895 - 362 pagesFull view - About this book
 | Milton Browning Goff - Arithmetic - 1876 - 462 pages
...proportion are called proportionals, or terms of the proportion. 275. Three numbers are proportionals when the first is to the second as the second is to the third. Thus, 2 : 4 :: 4 : 8. In this proportion the second term, 4, is called the mean proportional between... | |
 | James McDowell - 1878 - 310 pages
...equal to the difference of the second and third. (2) Three magnitudes are in Geometrical Progression when the first is to the second as the second is to the third. (3) Three magnitudes are in Harmonical Progression when the first is to the third as the .difference... | |
 | 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
...proportionals; a and d being the 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
...the means. Thus, in the above 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... | |
 | George Albert Wentworth - Algebra - 1891 - 544 pages
...g = hr. In like manner it may be shown that ma + nc + ре + ДО : wè + иd +/'/+ qh = a:b. 283. Continued Proportion. Numbers are said to be in continued...second as the second is to the third, and so on. Thus, а, о, с, d, are in continued proportion when - = - =• — 284. If а, Ъ, с are proportionals,... | |
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