 | 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 the... | |
 | Frederick Thomas Hodgson - Building - 1913 - 332 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...the remainder will be the length of the arc, nearly. Or, as 3 is to the number of degrees in the arc, so is .05236 times the radius to its length. Example.... | |
 | Clement Mackrow - Naval architecture - 1916 - 766 pages
...be the diameter. 8. To find the length of any arc of a, circle. (Fig. 58.) RULE (I). — From eight times the chord of half the arc subtract the chord of the whole arc : one-third of the remainder will be the length of the arc, nearly. Thus if I. = length of the arc,... | |
 | Frederick Thomas Hodgson - 1917 - 696 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...the remainder will be the length of the arc, nearly. Or, as 3 is to the number of degrees in the arc, so is .05236 times the radius to its length. Example.... | |
 | Hall V. Williams - Tinsmithing - 1917 - 382 pages
...2 = 320.28, etc., feet, the diameter. To Find the Length of Any Arc of a Circle. Rule : From eight times the chord of half the arc subtract the chord of the whole arc, and one-third of the remainder will be the length, nearly. Example: Required the length of an arc, .the... | |
 | Hall V. Williams - Tinsmithing - 1920 - 378 pages
...2 = 320.28, etc., feet, the diameter. To Find the Length of Any Arc of a Circle. Rule : From eight times the chord of half the arc subtract the chord of the whole arc, and one-third of the remainder will be the length, nearly. Example : Required the length of an arc, the... | |
 | John Gaston Leathem - Calculus - 1925 - 310 pages
...approximation to the length of a circular arc, as the arc tends to zero, is given by the rule ; — From 8 times the chord of half the arc subtract the chord of the whole arc, and divide the result by 3. Shew that the approximation differs from the arc by an infinitesimal of higher... | |
 | Anthony Nesbit - Measurement - 1859 - 482 pages
...Bonnycaitle's Astronomy, page 277. PROBLEM XIV. To find the length of any arc of a circle. RULE I. 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. Note 1. — Half the chord of the whole... | |
 | 558 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 in 20000.... | |
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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. 
