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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

## Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 427 pages
...s' = SO Area of the dodecagon = 4480 : the true area is 4478-46. 3. Length of circular arc. From S times the chord of half the arc, subtract the chord of the whole arc, and è of the remainder will be the length of the arc, nearly. Note, — The chord of half the arc is equal...

## A treatise on practical geometry, mensuration, conic sections, gauging, and ...

...series, let it be assumed =: d V — ; - т ¿' « — « ^ n\f dv, and we get RULE II. From eight times the chord of half the arc, subtract the chord of the whole arc, and it will be found ^)+ -) = V dv d I X - + « = V* r This being expanded, we get S*^ *cA 8rf2ffT / By...

## Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 428 pages
...radius of the circle multiplied by 0.0174533, and by the number of degrees in the arc. Or from eight times the chord of half the arc subtract the chord of the whole arc, one third of this remainder is the length of the arc nearly. 9. Circular Sector.— The area is equivalent...

## The American Builder's General Price Book and Estimator: To Elucidate the ...

James Gallier - Building - 1836 - 208 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. To find ihe Area of a Sector of a...

## A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - Measurement - 1837 - 262 pages
...that product by -01745329, and the last product will be the length of the arc.* RULE II. 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.f 1. If the arc AB contain 30 degrees,...

## First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 252 pages
...circle when the chord and radius are given. RULE. 1st. Find the chord of half the arc. 2d. Fi-om eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by three, and the quotient will be the length of the arc, nearly. ' PART III....

## Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841
...the sector. * The length of the arc of the sector may be found nearly, by the following rule ; viz. from 8 times the chord of half the arc subtract the chord of the whole arc, divide the remainder by 3, and the quotient will be the length of the arc, viz. 8 Ap~ AB 3 APB. Or,...

## An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1089 pages
...an arc of 3O degrees, the radius being 9 feet. Here -01745 x 30 x 9 = 4-7115, the length of the arc. Rule 2. From 8 times the chord of half the arc subtract the chord of the whole arc, and one third of the remainder will be the length of the arc nearly. Example. Required the length of an...