Difference between revisions of ".Mzcw.NzE2Ng"
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(Created page with "(4) 51. In every Geometrical proportion the product of the") |
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(4) | (4) | ||
51. In every Geometrical proportion the product | 51. In every Geometrical proportion the product | ||
| − | of the | + | of the extreem is equal to the product of the mean. |
| + | |||
| + | Thus if a:b::c:d, is [[unclear]] | ||
| + | For by the supposed [[unclear]] | ||
| + | [[formula]] | ||
| + | |||
| + | 52. This property of proportional numbers | ||
| + | is the foundation of the rule of three in | ||
| + | arithmetick. For if a:b::c:d. Then ad = cd. | ||
| + | And dividing by a we have d = bc/a. | ||
| + | |||
| + | That is if four numbers by proportional | ||
| + | & the three first be known, the fourth may | ||
| + | be found by multiplying the second & third together | ||
| + | & dividing by the first; which is the common | ||
| + | arithmetical rule. | ||
| + | |||
| + | 53. The converse of the foregoing proposition | ||
| + | is also true, that four quantities are proportional | ||
| + | if the product of the extreems is equal to the | ||
Latest revision as of 19:53, 8 August 2018
(4) 51. In every Geometrical proportion the product of the extreem is equal to the product of the mean.
Thus if a:b::c:d, is unclear For by the supposed unclear formula
52. This property of proportional numbers is the foundation of the rule of three in arithmetick. For if a:b::c:d. Then ad = cd. And dividing by a we have d = bc/a.
That is if four numbers by proportional & the three first be known, the fourth may be found by multiplying the second & third together & dividing by the first; which is the common arithmetical rule.
53. The converse of the foregoing proposition is also true, that four quantities are proportional if the product of the extreems is equal to the
