| Charles Davies - Geometry - 1850 - 238 pages
...circle when the chord and radius are given. RULE. I. Find the chard of half the arc. II. 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. EXAMPLES. 1.... | |
| James Elliot - 1851 - 152 pages
...XIII. Ans. 398 -. To find the Length of an Arc (BCE) approximately (without Tables). EULE. From eight times the chord of half the arc subtract the chord of the whole arc, and divide the remainder by 3. FORMULA. A 8c'-c Arc = -- c being the chord of the whole arc ; and c'... | |
| Charles Davies - Geometry - 1886 - 340 pages
...of a circle when the chord and radius are givenRULE I Find the chord of half the, arcIT 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, nearlyEXAMPLES 1 The... | |
| Lucius D. Gould - Carpentry - 1853 - 234 pages
...the square of the circumference to the area. To find the Length of any Arc 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... | |
| Ezra S. Winslow - Business mathematics - 1853 - 264 pages
...68669.56 ~- 43560 = 1.576 acres. 2 2 J \ To find the length of an arc of a circle. ROLE. — 1. From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3 ; the quotient will be the length of the arc, nearly — a trifle too... | |
| Robert Stuart - Architecture - 1854 - 1272 pages
...9 As 180: 30 Or 6 : 1 : : 282744 : 47124 Or 3 : 30 : : '05236 X 9 : 47124 90 47*24 answer. Rule 2. From 8 times the chord of half the arc subtract the chord of the whole arc, and -i- of the remainder will be the length of the arc nearly. Ex. 2. The chord AB (Prob. 8,) of the... | |
| Robert Rawson - 1856 - 178 pages
...22..30 -4142136 3420 45.. 1-0000000 5869 Approximate Rule (usually called Huygens- Theorem-). From eight times the chord of half the arc, subtract the chord of the whole arc, and one third of the remainder will he the length of the arc, nearly. ADB — FORMULA. AD — AB EXAMPLE.... | |
| Lucius D. Gould - 1857 - 464 pages
...square of the circumference to the area. To fimd the Length of any Arc of a Circle. .RuZe 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... | |
| Mechanical engineering - 1855 - 420 pages
...^^f'5625 = 2074-225 ft., the radius. To find the length of any given 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 is equal the length of the arc. MENSURATION. Required the length of... | |
| Isaac Todhunter - 1860 - 318 pages
...J(lc*)=nc- 1, 13. Prove the following rule for finding the length of a small circular arc ; from eight times the chord of half the arc subtract the chord of the whole arc, and one-third of the remainder will give the length of the arc nearly. 14. From the identical equation... | |
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