| Benjamin Franklin Finkel - Mathematics - 1888 - 481 pages
...«)*, where a is the chord of the whole arc and b the chord of half the arc. Rule from (6) . 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, approximately. I. Find the length of the... | |
| Industrial arts - 1871
...&c., for Hydrogen &c — r. HWB [7008.]— Mensuration— Segment of Circle.— l;>'l" : From eight **times the chord of half the arc subtract the chord of the whole arc** : one third of the remainder is the length of the arc nearly. Note : When, us in this case, the segment... | |
| Alfred John Pearce - 1897 - 182 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 angles... | |
| Sir Horace Lamb - Calculus - 1897 - 616 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.... | |
| John Perry - Mechanical engineering - 1897 - 678 pages
...Divide into triangles, and add the areas of the triangles together. Arc of a circle. — From eight **times the chord of half the arc subtract the chord of the whole arc;** one-third of the remainder will give the length of the arc, nearly. Area of a trapezium. — Half the... | |
| International Correspondence Schools - Sheet-metal work - 1901
...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... | |
| Industrial arts - 1902
...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 of... | |
| Daniel Alexander Murray - Calculus - 1903 - 439 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 the... | |
| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 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.... | |
| Frederick Thomas Hodgson - Architecture, Domestic - 1904 - 254 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 in the... | |
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