 | Nicolas Pike - 1822 - عدد الصفحات: 562
...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 cnlled a mean proportional between the other two. Thus, 4 is a mean proportional between... | |
 | John Bayley (fellow of Emmanuel College, Cambridge.) - 1830 - عدد الصفحات: 428
...The negative quantity (—10) applies to the case where the company have to receive money. Find two numbers, of which the first is to the second as the second is to 36, ала the difference of the squares of the numbers is 324. Let x = first number, . * . x : second... | |
 | William Ruger - 1832 - عدد الصفحات: 282
...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 weighed... | |
 | Luther Ainsworth - 1837 - عدد الصفحات: 298
...Ans. 35. Q. What is meant by the mean proportion between any two numbers ? A. When the first number : is to the second : : as the second : is to the third, the second is said to be a mean proportion between the other two numbers ; thus 8 is a mean proportion... | |
 | William Ruger - 1841 - عدد الصفحات: 268
...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 - 1848 - عدد الصفحات: 250
...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 - عدد الصفحات: 370
...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 - 1848 - عدد الصفحات: 250
...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 - 1853 - عدد الصفحات: 334
...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 - 1859 - عدد الصفحات: 348
...terms. 371. The Means are the second and third terms. 372. Three numbers may be in proportion when the first is to the second as the second is to the third. Thus, the numbers 3, 9, and 27 are in proportion since 3 : 9 : : 9 : 27, the ratio of each couplet... | |
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Three numbers may be in proportion when the first is to the second as the second is to the third. 
