 | Henry G C. Smith - 1863 - 200 pages
...following numbers : 7. 8i, 5i, 8TV 8. 3J, 6f, 194 10. 4?, 7f, 4e When there are three numbers, of which the first is to the second as the second is to the third, the third is termed the Third Proportional to the first and the second, and the second is the Mean... | |
 | George Augustus Walton - Arithmetic - 1864 - 376 pages
...equality between a compound ratio and a simple ratio, or between two compound ratios. 370. Three terms are in proportion when the first is to the second as the second is to the third. The second term is called a mean proportional between the other two ; thus, in the proportion, 3:6... | |
 | George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 354 pages
...between a compound ratio and a simple ratio, or between two compound ratios. • 370. Three terms are in proportion when the first is to the second as the second is to the third. The second term is called a mean proportional between the other two ; thus, in the proportion, 3 :... | |
 | Joseph Ray - Algebra - 1866 - 250 pages
...that is, If the product of the first and third of two quantities is equal to the square of a second, the first is to the second as the second is to the third. Illustration: If 4 : 6 : : 6 : 9, then, 4X9=62=36^_ If 2X8=16, then, 2 : j/TF: : ,/16 : 8. Or, 2 :... | |
 | Joseph Ray - Algebra - 1866 - 252 pages
...that is, If the product of the first and third of two quantities is equal to the rquare of a second, the first is to the second as the second is to the third. Illustration : If 4 : 6 : : 6 : 9, then, 4X9=62=36. If 2X8=16, then, 2 : yO6~: : v/IF: 8. Or, 2 : 4... | |
 | Philotus Dean - Arithmetic - 1874 - 472 pages
...can be arranged in such an order that the ratio of every two adjacent numbers is the same ; that is, the first is to the second as the second is to the third, as the third is to the fourth, as the fourth is to the fifth, &c. Such numbers so arranged are said... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 468 pages
...and fourth terms ; and The Means are the second and third terms. 425. Three numbers are proportional when the first is to the second as the second is to the third. Thus, the numbers 4, 6, and 9 are proportional, since 4:6 = 6:9, the ratio of each couplet being |, or 1J. 426. When... | |
 | 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 the... | |
 | 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... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...the division of the 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... | |
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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. 
