Difference between revisions of ".Mzcw.NzE2NA"
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(3) | (3) | ||
| − | + | 40. Some authors use a particular notation for arithmetical | |
proportion For instance, if the | proportion For instance, if the | ||
quantities: a, b, c, & d be in arithmetical proportion | quantities: a, b, c, & d be in arithmetical proportion | ||
| − | they express [[unclear]] or thus, a | + | they express [[unclear]] or thus, a. b:. c,, d. But |
| + | this is [[unclear]] a - b = c - d, or b - a = d - c | ||
| + | expressed [[unclear]] Arithmetical proportion perfectly | ||
| + | well. | ||
| + | |||
| + | 49. In every proportion the first & last quantities | ||
| + | or terms, are called [[underline]] extreems, [[/underline]] the others are | ||
| + | called [[underline]] means. [[/underline]] | ||
| + | |||
| + | 50. In every arithmetical proportion the | ||
| + | sum of the means is equal to the sum of the | ||
| + | extreems. | ||
| + | Thus if, a, b, c, d, be in arithmetical proportion, | ||
| + | [[unclear]] that a + b = b + c. For by the supposition, | ||
| + | |||
| + | [[formula]] | ||
| + | 2. D. b. | ||
Latest revision as of 19:47, 8 August 2018
(3) 40. Some authors use a particular notation for arithmetical proportion For instance, if the quantities: a, b, c, & d be in arithmetical proportion they express unclear or thus, a. b:. c,, d. But this is unclear a - b = c - d, or b - a = d - c expressed unclear Arithmetical proportion perfectly well.
49. In every proportion the first & last quantities or terms, are called underline extreems, /underline the others are called underline means. /underline
50. In every arithmetical proportion the sum of the means is equal to the sum of the extreems. Thus if, a, b, c, d, be in arithmetical proportion, unclear that a + b = b + c. For by the supposition,
formula 2. D. b.
