| Mechanical engineering - 1874
...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 - Arithmetic - 1877
...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 - 188 pages
...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 - Measurement - 1879 - 106 pages
...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
...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
...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
...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 - Measurement - 1882 - 168 pages
...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 - Machinery, Kinematics of - 1883 - 271 pages
...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
...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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