Difference between revisions of ".Mzcw.NzE3OA"
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(Created page with "(10) 62. If various") |
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| − | 62. If various | + | 62. If various quantities [[unclear]] others that |
| + | are inversely as these may be found, by dividing | ||
| + | unity, or the same quantity of each. | ||
| + | |||
| + | Thus 1/a, 1/b, are inverse [[unclear]] for 1/a:1/b::b:a. | ||
| + | as is evident by multiplying [[unclear]] extremely, | ||
| + | & means: for 1/a x a = 1/b x b, because each product | ||
| + | equal to unity. In like manner the quantities | ||
| + | n/a, n/b, are inversely as a & b. | ||
| + | |||
| + | 63. The quantities 1/a & 1/b, are said to be the reciprocals | ||
| + | of a & b, & b/a, is the reciprocal of a/b. Hence | ||
| + | reciprocals multiplied together always produce | ||
| + | unity for 1/a x a = 1, & b/a x a/b = ab/ab = 1. In numbers | ||
| + | 1/3 is the reciprocal of 3 & to multiply by any | ||
| + | quantity is the same as the divide by its reciprocal | ||
| + | & vice versa. | ||
Latest revision as of 16:28, 10 August 2018
(10) 62. If various quantities unclear others that are inversely as these may be found, by dividing unity, or the same quantity of each.
Thus 1/a, 1/b, are inverse unclear for 1/a:1/b::b:a. as is evident by multiplying unclear extremely, & means: for 1/a x a = 1/b x b, because each product equal to unity. In like manner the quantities n/a, n/b, are inversely as a & b.
63. The quantities 1/a & 1/b, are said to be the reciprocals of a & b, & b/a, is the reciprocal of a/b. Hence reciprocals multiplied together always produce unity for 1/a x a = 1, & b/a x a/b = ab/ab = 1. In numbers 1/3 is the reciprocal of 3 & to multiply by any quantity is the same as the divide by its reciprocal & vice versa.
