Difference between revisions of ".Mzcw.NzE3Ng"
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| − | upon [[unclear]] | + | upon [[unclear]] called the inverse rule |
| + | of three. But this is unnecessary: because | ||
| + | all cases of the inverse rule maybe brought | ||
| + | to the direct rule by stating the terms properly | ||
| + | For if a is to b inversely as c is to q we may say | ||
| + | directly, as [[unclear] as is c to q, & therefore ac/b = q | ||
| + | as before (§ 52.) | ||
| + | |||
| + | Observe that when the antecedent of one | ||
| + | ratio is to its consequent, as the antecedent of | ||
| + | another ratio is to its consequent, the first quantity | ||
| + | is said to be to the second [[underline]] directly [[/underline]] as the third is | ||
| + | to the fourth. And - quantity is said to be directly | ||
| + | as another, when it increases or diminishes | ||
| + | as the other increases or diminishes. Hence | ||
| + | Mechanists say that the time a body [[unclear]] | ||
| + | is directly as the space & inversely as the velocity. | ||
Latest revision as of 16:14, 10 August 2018
(9) upon unclear called the inverse rule of three. But this is unnecessary: because all cases of the inverse rule maybe brought to the direct rule by stating the terms properly For if a is to b inversely as c is to q we may say directly, as [[unclear] as is c to q, & therefore ac/b = q as before (§ 52.)
Observe that when the antecedent of one ratio is to its consequent, as the antecedent of another ratio is to its consequent, the first quantity is said to be to the second underline directly /underline as the third is to the fourth. And - quantity is said to be directly as another, when it increases or diminishes as the other increases or diminishes. Hence Mechanists say that the time a body unclear is directly as the space & inversely as the velocity.
