Difference between revisions of ".Mzcw.NzE3Mg"
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(Created page with "(7) 50. If the exponent be equal he") |
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| − | 50. If the exponent be equal | + | 50. If the exponent be equal the ratios |
| + | will be equal; & the [[unclear]] from the | ||
| + | comparison of which [[unclear]] equal exponents | ||
| + | arrise will be proportional, according to § 47. | ||
| + | or form an Analogy (§ 54) | ||
| + | |||
| + | 59. The ratio of two quantities is not changed by | ||
| + | by their being multiplied or divided by the same | ||
| + | quantity. | ||
| + | |||
| + | For if a/b = c/d it is also try that am/bm = c/d. Because | ||
| + | if a/b = c/d, then ad = bc (§ 51) But if ad = bc | ||
| + | then adm = bcm (§ 35) ANd if adm [[unclear]] | ||
| + | then am:bm::c:d. (§ 53) Or am/bm = c/d. [[unclear]] | ||
| + | |||
| + | 60. A ratio is said to be the [[underline]] inverse [[/underline]] of another | ||
| + | when the antecedent of one is to its consequent | ||
| + | as the consequent of the other is to its antecedent | ||
Latest revision as of 20:58, 8 August 2018
(7) 50. If the exponent be equal the ratios will be equal; & the unclear from the comparison of which unclear equal exponents arrise will be proportional, according to § 47. or form an Analogy (§ 54)
59. The ratio of two quantities is not changed by by their being multiplied or divided by the same quantity.
For if a/b = c/d it is also try that am/bm = c/d. Because if a/b = c/d, then ad = bc (§ 51) But if ad = bc then adm = bcm (§ 35) ANd if adm unclear then am:bm::c:d. (§ 53) Or am/bm = c/d. unclear
60. A ratio is said to be the underline inverse /underline of another when the antecedent of one is to its consequent as the consequent of the other is to its antecedent
