 | Alfred John Pearce - 1897 - 202 pages
...chord of half the arc, and length of the arc = I. „,. . SAB - AC Then I = — 3 RULE. — From eight times the chord of half the arc, subtract the chord of the whole arc, and take one-third. NOTE — This rule is not exact, hut gives a very close approximation. For small... | |
 | Horace Lamb - Calculus - 1897 - 644 pages
...prove Huyghens' rule for calculating approximately the length of a circular arc, viz. : From eight times the chord of half the arc subtract the chord of the whole arc, and divide the result by three. Prove that in an arc of 45° the proportional error is less than 1... | |
 | Science - 1901 - 678 pages
...the results given by a rule which I use. This rule is as follows: From eight times the chord of finlf the arc subtract the chord of the whole arc; one-third of the remainder is the length of the arc, nearly. TTD, Wallingford, Conn. ANS. — In the formula given in HOMB STDDY... | |
 | International Correspondence Schools - Sheet-metal work - 1901 - 578 pages
...rule, which gives the length of an arc less than 120° correct to three figures: Rule. — From eight times the chord of half the arc, subtract the chord of the wholc arc, and divide the remainder by 3. The quotient is the length of the arc, approximately. That... | |
 | Science - 1902 - 750 pages
...arc less than a semi circumference correct to two figures. The formula is equivalent to the rule : From 8 times the chord of half the arc, subtract the chord of the whole arc, and divide tlie remfiinder by 3. The quotient is the length of the arc, approximately, (b) The area... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...test the accuracy of the following approximate rule: — "To find the length of an arc, from eight times the chord of half the arc subtract the chord of the whole arc, and divide the result by three." (It will be .necessary to measure the length of the chords.) Ex. 1219.... | |
 | Daniel Alexander Murray - Calculus - 1903 - 466 pages
...a;, prove Huyhen's rule for calculating approximately the length of a circular arc, viz. : From eight times the chord of half the arc subtract the chord of the whole arc, and divide the result by three. 14. State Maclaurin's theorem, and from the expansion for tana; find... | |
 | Frederick Thomas Hodgson - Architecture, Domestic - 1904 - 370 pages
...number of degrees in the arc by the decimal .01745, and that product by the radius of the circle. Or, from 8 times the chord of half the arc, subtract the chord of the whole arc, and $ of the remainder will be the length of the arc, nearly. Or, as 3 is to the number of degrees... | |
 | International Correspondence Schools - Building - 1906 - 634 pages
...arc, has the value AC = ^AD + CD - -v\ 2 Then, to find the length of the arc: 4 Itule. — From eight times the chord of half the arc, subtract the chord of the u'hole arc and divide the remainder by 3. That is, arc A CB •n Let c — chord of whole arc; h =... | |
 | Daniel Alexander Murray - Calculus - 1908 - 522 pages
...a;, prove Huyhen's rule for calculating approximately the length of a circular arc, viz. : From eight times the chord of half the arc subtract the chord of the whole arc, and divide the result by three. 14. State Maclaurin's theorem, and from the expansion for tanx find... | |
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From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly. 
