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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

## Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

...arc, has the value AC = ^AD + CD - -v\ 2 Then, to find the length of the arc: 4 Itule. — From eight times the chord of half the arc, subtract the chord of the u'hole arc and divide the remainder by 3. That is, arc A CB •n Let c — chord of whole arc; h =...

## Differential and Integral Calculus

Daniel Alexander Murray - Calculus - 1908 - 491 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 tanx find the...

## Hodgson's Estimator and Contractor's Guide for Pricing Builder's Work

Frederick Thomas Hodgson - Building - 1913 - 269 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...the remainder will be the length of the arc, nearly. Or, as 3 is to the number of degrees in the arc, so is .05236 times the radius to its length. Example....

## Naval Architect's & Shipbuilder's Pocket-book ...: With a Section on Aeronautics

Clement Mackrow - Naval architecture - 1916 - 742 pages
...be the diameter. 8. To find the length of any arc of a, circle. (Fig. 58.) RULE (I). — 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. Thus if I. = length of the arc,...

## Builders' Reliable Estimator and Contractors' Guide: A Complete Guide for ...

Frederick Thomas Hodgson - 1917 - 269 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...the remainder will be the length of the arc, nearly. Or, as 3 is to the number of degrees in the arc, so is .05236 times the radius to its length. Example....

## The New Tinsmith's Helper and Pattern Book: A Textbook and Working Guide for ...

Hall V. Williams - Tinsmithing - 1917 - 359 pages
...2 = 320.28, etc., 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. Example: Required the length of an arc, .the...

## The New Tinsmith's Helper and Pattern Book: A Textbook and Working Guide for ...

Hall V. Williams - Tinsmithing - 1920 - 359 pages
...2 = 320.28, etc., 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. Example : Required the length of an arc, the...

## A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 450 pages
...Bonnycaitle's 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...