 | Samuel YOUNG (of Manchester.) - 1833 - 272 pages
...in the same square whose diameter is 24. PROBLEM IX. To find the length of a Circular Arc. RULE 1. From 8 times the chord of half the arc subtract the chord of the whole arc, and ^ of the difference will be the length of the arc, nearly. RULE 2. Multiply the number of degrees in the arc... | |
 | Francis Walkingame - 1833 - 204 pages
...5. The area X'6S6G197) Problem 9- Toßnd the length of a circular arc RULE 1. From 8 times Fig. 8. the chord of half the arc subtract the chord of the whole arc, and ¿ of the difference will be the length of the arc, nearly. That is ADx8— AB -т-3=.агс ADB. NOTE. Half... | |
 | Olinthus Gregory - Mathematics - 1834 - 484 pages
...4400 Add } s* = 80 Area of the dodecagon = 4480 : the true area is 4478-46. 3. Length of circular arc. From 8 times the chord of half the arc, subtract the chord of the whole arc, and 4 of the remainder will be the length of the arc, nearly. Note. — The chord of half the arc is equal... | |
 | 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,... | |
 | Olinthus Gregory - Mathematics - 1838 - 448 pages
...4400 Add I s9 = 80 Area of the dodecagon = 4480 : the true area is 4478'46. S. Length of circular arc. From 8 times the chord of half the arc, subtract the...the remainder will be the length of the arc, nearly. Note. — The chord of half the arc is equal to the square root of the sum of the squares of the versed... | |
 | 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.... | |
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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. 
