 | S. M. Saxby - Marine engines - 1862 - 200 pages
...radius multiplied by the length of the arc equals the area. KB. To find the length of an arc. From eight times the chord of half the arc subtract the chord of the whole arc, and take one third the remainder for the length of the arc nearly. For the segment or any part of a circle... | |
 | Olinthus Gregory - 1863 - 482 pages
...4400 Add i s' = 80 Area of the dodecagon = 4480 : the true area is 4478-46. 3. Length of circular arc. 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. — The chord of half the arc is equal... | |
 | Thomas Baker (C.E.) - 1865 - 174 pages
...radius to its length. CASE II. — When the chord of half and the whole arc are given. RULE II. — From 8 times the chord of half the arc subtract the chord of the whole arc, and take \ of the remainder for the lungth of the arc nearly. FORMULAE. (See last figure.) Put r = radius... | |
 | William Harris Johnston - 1865 - 478 pages
...Draw the diameter and the chord of the arc. Then, if the aro be less than a semi-circle, 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. In order to determine the chord... | |
 | Leroy J. Blinn - Sheet-metal work - 1866 - 216 pages
...2 = 820.28, &c.,feet the diameter. To find the Length of any 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 will be the length nearly. 9 • Required the length of the arc ABO, fig.... | |
 | C. Davies - 1867 - 342 pages
...arc of a circle when the chord and radius are givenRULE I Find the chord of half the arcII 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 chord... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...25 inches? Ans. 14.2441 inches. 16. When the chord and chord of the half arc are given. RULE.—From 8 times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3. 1. The chord of an arc is 96 inches, and the chord of half the arc is 60... | |
 | Sir Rowland Macdonald Stephenson - Railroads - 1869 - 446 pages
...radius to its length. CASE II. — When the chord of half and of the whole arc are given. RULE II. — From 8 times the chord of half the arc subtract the chord of the whole arc, and take J of the remainder for the length of the arc nearly. 1. To find the length of an arc of 30 degrees,... | |
 | Isaac Todhunter - Measurement - 1869 - 312 pages
...arc being known, and also the chord of half the arc, to find the length of the arc. RULE. From eight times the chord of half the arc subtract the chord of the whole arc, and divide the remainder by three. This Rule is not cxict ; it gives the length of the arc smaller than... | |
 | Alfred Hiley - 1871 - 184 pages
...circle less than a semicircle, when the chord of the arc and the diameter of the circle 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 1. — The answers... | |
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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. 
