 | Henry H. Hutton - 1882 - 178 sider
...radius 18.75. EXERCISE xv. of the whole arc 38 feet; what is the length of the arc ? Special Rule. From eight times the chord of half the arc subtract the chord of the whole arc; one-third of the remainder will give the arc, nearly. %. The chord of an arc is 6 feet and the chord... | |
 | John Perry - 1883 - 486 sider
...together. Fig 146 Circumference of a circle. — Multiply the diameter by 3 -1416. 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 circle. — Square the... | |
 | Charles Davies - 1886 - 352 sider
...the arc of a circle when the chord and radius are given. RULE. I. Find the chord of half the are. IT From eight times the chord of half the arc, subtract...the whole arc, and divide the remainder by 3, and tht quotient will be the length of the arc, nearly. EXAMPLES. 1. The chord AB=30 feet, and the radius... | |
 | Dalhousie University - 1886 - 216 sider
...m6=x—x. ' x * 4. Prove the rough rule for finding the length of a small arc of a circle, "From 8 times the chord of half the arc, subtract the chord of the whole arc, and take Jrd of the remainder." (Euler's series for the sine. ) 5. Express sin " "*" 0 in terms of descending... | |
 | Benjamin Franklin Finkel - 1888 - 518 sider
...s=arc=$(8t> — «)*, 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... | |
 | 1871 - 682 sider
...to give H, &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... | |
 | John Perry - 1893 - 318 sider
...point, D, of the c opposite sidej B c, and making DG onethe diameter by 3-1416. 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. third of D A. G is the centre of... | |
 | Horace Lamb - 1897 - 644 sider
...for sin x, 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. 18. Obtain... | |
 | Alfred John Pearce - 1897 - 202 sider
...AB the 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... | |
 | John Perry - 1897 - 724 sider
...figure. — 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... | |
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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. 
