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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. "
Cyclopedia of Architecture: Historical, Descriptive, Typographical ... - Page 285
by Robert Stuart - 1854
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 216 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. The...
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An elementary course of practical mathematics, Part 2

James Elliot - 1851
...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' that...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 324 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 chord...
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The American House Carpenters' and Joiners' Assistant: Being a New and Easy ...

Lucius D. Gould - Carpentry - 1853 - 136 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...
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The Computist's Manual of Facts: And Merchant's and Mechanic's Calculator ...

Ezra S. Winslow - Business mathematics - 1853 - 252 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 small....
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Mensuration of lines, areas, surfaces, and volumes

Robert Rawson - 1856
...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....
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The American House Carpenters' and Joiners' Assistant

Lucius D. Gould - 1857
...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...
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The Mechanic's Text-book and Engineer's Practical Guide ...

Mechanical engineering - 1855 - 403 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 the...
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Plane Trigonometry ...

Isaac Todhunter - 1860
...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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Commercial class book

Alfred Newsom Niblett - 1861
...an arc as the line AB ; and the versed sine is part of the diameter cut off hy the chord. RULES. 1. From 8 times the chord of half the arc subtract the chord of the whole arc, and J of the remainder will be the length of the arc, nearly. 2. Divide the square of half the chord by...
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