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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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A Mathematical Solution Book Containing Systematic Solutions to Many of the ...

Benjamin Franklin Finkel - Mathematics - 1888 - 481 pages
...)*, where a is the chord of the whole arc and b the chord of half the arc. Rule from (6) . 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, approximately. I. Find the length of the...
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English Mechanic and World of Science: With which are ..., Volume 13

Industrial arts - 1871
...&c., for Hydrogen &c — r. HWB [7008.]— Mensuration— Segment of Circle.— l;>'l" : From eight times the chord of half the arc subtract the chord of the whole arc : one third of the remainder is the length of the arc nearly. Note : When, us in this case, the segment...
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Longmans' School Mensuration: With an Additional Chapter and Exercises

Alfred John Pearce - 1897 - 182 pages
...chord of half the arc, and length of the arc = I. „,. . SAB - AC Then I = — 3 RULE. — From eight times the chord of half the arc, subtract the chord of the whole arc, and take one-third. NOTE — This rule is not exact, hut gives a very close approximation. For small angles...
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An Elementary Course of Infinitesimal Calculus

Sir Horace Lamb - Calculus - 1897 - 616 pages
...prove Huyghens' rule for calculating approximately the length of a circular arc, viz. : From eight times the chord of half the arc subtract the chord of the whole arc, and divide the result by three. Prove that in an arc of 45 the proportional error is less than 1 in 20000....
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Applied Mechanics: A Treatise for the Use of Students who Have Time to Work ...

John Perry - Mechanical engineering - 1897 - 678 pages
...Divide into triangles, and add the areas of the triangles together. Arc of a circle. — From eight times the chord of half the arc subtract the chord of the whole arc; one-third of the remainder will give the length of the arc, nearly. Area of a trapezium. — Half the...
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A Textbook on Sheet-metal Pattern Drafting, Volume 1

International Correspondence Schools - Sheet-metal work - 1901
...rule, which gives the length of an arc less than 120 correct to three figures: Rule. — From eight times the chord of half the arc, subtract the chord of the wholc arc, and divide the remainder by 3. The quotient is the length of the arc, approximately. That...
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Science and Industry, Volume 7

Industrial arts - 1902
...arc less than a semi circumference correct to two figures. The formula is equivalent to the rule : From 8 times the chord of half the arc, subtract the chord of the whole arc, and divide tlie remfiinder by 3. The quotient is the length of the arc, approximately, (b) The area of...
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A First Course in Infinitesimal Calculus

Daniel Alexander Murray - Calculus - 1903 - 439 pages
...a;, prove Huyhen's rule for calculating approximately the length of a circular arc, viz. : From eight times the chord of half the arc subtract the chord of the whole arc, and divide the result by three. 14. State Maclaurin's theorem, and from the expansion for tana; find the...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...test the accuracy of the following approximate rule: — "To find the length of an arc, from eight times the chord of half the arc subtract the chord of the whole arc, and divide the result by three." (It will be .necessary to measure the length of the chords.) Ex. 1219....
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Hodgson's Estimator and Contractor's Guide for Pricing Builder's Work ...

Frederick Thomas Hodgson - Architecture, Domestic - 1904 - 254 pages
...number of degrees in the arc by the decimal .01745, and that product by the radius of the circle. 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. Or, as 3 is to the number of degrees in the...
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