 | 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,... | |
 | 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... | |
 | Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...ratios. 384. The Extremes are the first and fourth terms. The Means are the second and third terms. 385. Three numbers may be in proportion when the first...3 : 9 : : 9 : 27, the ratio of each couplet being \. In such a proportion the second term is said to be a mean proportional between the other two. 386.... | |
 | Horatio Nelson Robinson - Arithmetic - 1892 - 428 pages
...ratios. 384. The Extremes are the first and fourth terms. The Means are the second and third terms. 385. Three numbers may be in proportion when the first...second as the second is to the third. Thus, the numbers 8, 9, and ?-7 are in proportion since 3:9:: 9:27, the ratio of each couplet being $. In such a proportion... | |
 | James Morford Taylor - Algebra - 1893 - 362 pages
...corresponding ratios in (5), we obtain (6). 219. Continued 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 a:b = b:c = c:d. If a:b = b:c = c:d, then... | |
 | George Leander Chapin - Solar system - 1894 - 36 pages
...to be made. SPECIAL NOTE. It is a settled principle in mathematics that in an acceleration in hich the first is to the second as the second is to the third, etc., (arid LÍS is the ratio on the zodiac) the mean of acceleration is at the half lengl h the line... | |
 | Horatio Nelson Robinson - Arithmetic - 1895 - 526 pages
...and fourth terms. . The Means are the second and third terms. 467. Tliree numbers are proportional when the first is to the second as the second is to the third. Thus, the numbers 4, G, and 9 are proportional, since 4 : 6 : : С : 9, the ratio of each couplet being |. 468. In a... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1895 - 508 pages
...extremes, b and с the means ; or vice versa. 327. 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 <z_ b _ с... | |
 | Questions and answers - 1895 - 430 pages
...respective spaces between each degree of the arc and the side of Jf, as seen in the diagram. But yet, the first is to the second as the second is to the third, and as the third is to the fourth, and so on ; and it would seem to be practicable to establish the... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 552 pages
...and с the means ; or vice versa. 350. Continued Proportion. 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... | |
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Three numbers may be in proportion when the first is to the second as the second is to the third. 
