A system of mechanics, being the substance of lectures upon that branch of natural philosophy / By T. Parkinson.

  • Parkinson, Thomas, 1745-1830.
Date:
1785
Catalogue details

Licence: Public Domain Mark

Credit: A system of mechanics, being the substance of lectures upon that branch of natural philosophy / By T. Parkinson. Source: Wellcome Collection.

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    Let the ratios of 3': 5 and of 6 : 9 be compared; and 3 : 5:: 6 : ~ (Jo), therefore the ratio of 3 : 5, being the fame with that of 6 : io3 is a greater, negative ratio than that of 6 : 9. 46. The fecond method of comparing ratios, is to divide the antece- dents by their refpeflive confequenfs, and that ratio will he the greatef the quotient of wh ofe terms is the greatef» BC Ex amp. The ratio of A: B, being equal to that of G; —(38)5. is greater than, equal to, or lefs than the ratio of C:D, according as —jpx is lefs than, equal to, or greater than H, or - lefs than, n., ^ ; . . equal to, or greater than or ^ greater than, equal to, or lefs B than jy This method is expeditious and true, but let it be re- A . membered that-g-is a number as every quotient;is, and does notr> meafure the ratio of A: B, nor is the relative magnitude or ratio A C of the ratios of A: B and C: D equal to the ratio of : * 47. The third method of comparing ratios. • If A he centained< he4 tween — x B and — x B, and C he contained between - xD and n n n m •nr .. - t •• • v g v ... - ... - ii 1 4 *. <* v x D5 the ratios of A : B and C : D equal4. if therefore A be ^ m m greater than ~ x B C he not greater thajiAxTI> or ifnA he greater than m B, but n C ?70t greater than m D , the- ratio of A : B ^ greater than that of C : D* EX AMP..