| International Correspondence Schools - Building - 1906
...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 - 491 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 - 269 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 - 742 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 - 269 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 - 359 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 - 359 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... | |
| Anthony Nesbit - Measurement - 1859 - 450 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... | |
| ...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.... | |
| ...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 ia less than 1 in 20000.... | |
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