| S. M. Saxby - Marine engines - 1862 - 179 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
...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
...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
...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 - 178 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
...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 - 275 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 - 262 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 - 296 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
...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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