 | Olinthus Gregory - Mathematics - 1834 - 472 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... | |
 | Ireland commissioners of nat. educ - 1834 - 370 pages
...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... | |
 | William Galbraith - Astronomy - 1834 - 454 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... | |
 | James Gallier - Building - 1836 - 228 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... | |
 | Commissioners of National Education in Ireland - Measurement - 1837 - 290 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,... | |
 | Charles Davies - Geometrical drawing - 1840 - 264 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.... | |
 | Abraham Crocker - 1841 - 486 pages
...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,... | |
 | Joseph Gwilt - Architects - 1842 - 1114 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... | |
 | J. M. Scribner - Measurement - 1844 - 130 pages
...are given, in which case the length of the arc may be found by the following approximating Rule. — 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. Ex. 1. What is the length of an arc whose... | |
 | Frederick Walter Simms - 1845 - 184 pages
...the product by 4 ; the result will be the area. To find the length of any arc of a circle. Rule. — 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 the area of a sector of... | |
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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. 
