 | 1874 - عدد الصفحات: 1186
...square of the circumference to the area. To find the length of any are of a circle. — RULE 1. — From 8 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. RULE 2. — As 180 is to the number... | |
 | James E. Ryan - 1877 - عدد الصفحات: 212
...LENGTH OP AN ABC MAY BE FOUND THUS : First find the chord of half the arc, and then proceed as follows : From 8 times the chord of half the arc subtract the chord of the arc, and divide the remainder by 3. EXERCISE CXXXIX. 1. A horse tied to a stake can graze an acre ;... | |
 | Alfred Hiley - 1879 - عدد الصفحات: 228
...a circle less than a semicircle, when the chord of the arc and the chord of half the arc are given. From 8 times the chord of half the arc subtract the chord of the whole arc ; divide the remainder by 3, and the quotient is the length of the arc, nearly. Note'].. — The answers... | |
 | James Elliot - 1879 - عدد الصفحات: 118
...quadrant. PROBLEM XIII. To find the Length of an Arc (BCE) approximately (without Tables). RULE. From eight times the chord of half the arc subtract the chord of the whole arc, and divide the remainder by 3. FORMULA. Arc = • + t. \ 3 \ c being the chord of the whole * arc, and... | |
 | Moffatt and Paige - 1879 - عدد الصفحات: 506
...arc, the length of the arc may be found by the following rule (proved by Trigonometry). From eight times the chord of half the arc, subtract the chord of the whole arc, and take one-third of the remainder for the length of the arc nearly. (12) Find the ratio of the area of... | |
 | Clement Mackrow - 1879 - عدد الصفحات: 552
...9-36564 11-19615 8. To find the length of any are of a circle. (Fig. 73.) 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 L = length of the arc, C... | |
 | Thomas Liddell Ainsley - 1880 - عدد الصفحات: 866
...circle bounded by an arc and two radii. 221. To find the length of an arc. EULE LXX. From eight time» the chord of half the arc subtract the chord of the whole are, and take one-third the remainder for the length of the arc, nearly. 222. To find the area of the... | |
 | Henry H. Hutton - 1882 - عدد الصفحات: 178
...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 - عدد الصفحات: 486
...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... | |
 | Dalhousie University - 1886 - عدد الصفحات: 216
...2\/-l sin 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... | |
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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. 
