 | Charles Davies - 1886 - 340 sider
...of the arc 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 length of the arc, nearlyEXAMPLES 1 The chord -A5=30 feet, and the radius AC =20 feet: what is the length of the arc ADB ? First draw CD perpendicular... | |
 | Ezra S. Winslow - 1853 - 264 sider
...- ) 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...chord of the whole arc, and divide the remainder by 3 ; the quotient will be the length of the arc, nearly — a trifle too small. Or, — 2. Multiply the... | |
 | Lucius D. Gould - 1853 - 234 sider
...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... | |
 | Robert Stuart - 1854 - 1272 sider
...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 whole... | |
 | Charles Davies - 1855 - 340 sider
...15' or 10p, in a circle whose diameter is 68? Ans- 6-0813\ PROBLEM XIIITo find the length of the a1-c of a circle when the chord and radius are givenRULE...the length of the arc, nearlyEXAMPLES 1 The chord AB= 30 feet, and the radius AC =20 feet: what is the length of the arc ADB ? o First draw CD perpendicular... | |
 | Robert Rawson - 1856 - 178 sider
...5767 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.... | |
 | 1855 - 420 sider
...and ^^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 the... | |
 | Lucius D. Gould - 1857 - 464 sider
...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... | |
 | Anthony Nesbit - 1859 - 494 sider
...BonnycastleTi Astronomy, page 277. PROBLEM XIV. To find the length of any arc of a circle. RULE I. 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. Note 1. — Half the chord of the whole arc,... | |
 | Isaac Todhunter - 1860 - 318 sider
...e9^"'', and 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... | |
| |
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. 
