Difference between revisions of ".Mzcw.NzE5MA"
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| + | proportion, 3, 5, 7, the sum of the extreems | ||
| + | is 3 + 7 or 10 which is double of 5 the mean | ||
| + | term. In general any continued arithmetic | ||
| + | proportion may be denoted thus, [[formula]] | ||
| + | where the sum of the extremes will always | ||
| + | be [[formula]], which is double the mean, a + d | ||
| + | |||
| + | 74. This mean term is called an [[underline]] arithmetical | ||
| + | mean [[/underline]] between the two extremes. Hence | ||
| + | to find an arithmetical mean between | ||
| + | two quantities you need only take half | ||
| + | their sum. | ||
| + | |||
| + | 75. In a continued geometric proportion the | ||
| + | product of the extremes is equal to hte | ||
| + | square of the mean term. Thus in the | ||
| + | continues proportion, 2:6::6:18, [[deletion]] the | ||
| + | product of [[/deletion]] the product of the extremes | ||
| + | 2 x 18, is 36, & the square of the mean 6 is also | ||
| + | 36. | ||
Latest revision as of 19:43, 10 August 2018
(16) proportion, 3, 5, 7, the sum of the extreems is 3 + 7 or 10 which is double of 5 the mean term. In general any continued arithmetic proportion may be denoted thus, formula where the sum of the extremes will always be formula, which is double the mean, a + d
74. This mean term is called an underline arithmetical mean /underline between the two extremes. Hence to find an arithmetical mean between two quantities you need only take half their sum.
75. In a continued geometric proportion the product of the extremes is equal to hte square of the mean term. Thus in the continues proportion, 2:6::6:18, deletion the product of /deletion the product of the extremes 2 x 18, is 36, & the square of the mean 6 is also 36.
