| 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... | |
| Ireland commissioners of nat. educ - 1834
...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 - 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... | |
| 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... | |
| 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,... | |
| 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.... | |
| 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,... | |
| 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... | |
| J. M. Scribner - Measurement - 1844 - 123 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 - 153 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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