 | Nicolas Pike - Arithmetic - 1822 - 536 pages
...and extract the square root of the product ; which root will be the mean proportional sought. Note. When the first is to the second as the second is to the third, the second is called a mean proportional between the other two. Thus, 4 is a mean proportional between... | |
 | William Ruger - Arithmetic - 1832 - 282 pages
...sought. EXAMPLES. 1 . What is the mean proportional between 24 aad 96 ? 24X96=^/2304= Ans. 48. NOTE. — When the first, is to the second, as the second is to the . third, the second is called a mean proportional between the other two; thus, 24 : 48 : : 96. . 2. A cheese... | |
 | Nicolas Pike - Arithmetic - 1832 - 540 pages
...and extract the square root of the product; which root will be the mean proportional sought. Note. When the first is to the second as the second is to tha third, the second is called a mean proportional between the other two. Thus, 4 is a mean proportional... | |
 | William Ruger - Arithmetic - 1841 - 268 pages
...sought. EXAMPLES. 1. What is the mean proportional between 24 and 96 ? 24x96=V2304= Ans. 48. NOTE. — When the first is to the second, as the second is to the third, the second is called a mean proportional between the other two, thus. 24: 48:: 96. 2. A cheese weighed... | |
 | Joseph Ray - Algebra - 1848 - 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. IT 4 : 6 : : 6 : 9, then 4X9=62=36. If 2X8=16, then 2 : /I6 : : /IB : 8 Or 2 : 4 : :... | |
 | Joseph Jones - 1849 - 370 pages
...mean proportional between the two axis of the ellipse. What do you understand by a mean proportional ? When the first is to the second as the second is to the third, (as 3 : 6 :: 6 : 12), then the second is a mean proportional between the first and third. How do find... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...That is, if the product of the first and third of two quantities, it 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: i/T6 : : /IB : 8 Or 2 : 4 : :... | |
 | Euclides - Geometry - 1853 - 334 pages
...to another is defined to be the ratio which the first magnitude has to a third magnitude such that the first is to the second as the second is to the third. OBS. 1. Hence when three magnitudes are proportional (Def. 9. Obs. 2), the ratio which the first bears... | |
 | Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...fourth terms ; and The Means are the second and third terms. <-I2i5. 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 \\. 426. When three... | |
 | 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... | |
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Three numbers may be in proportion when the first is to the second as the second is to the third. 
