 | 1801 - 658 sider
...Or 6 : i :: 28,2744 : 4-7124 Or 3 : 30 :: -05236X9 : 4'7^4 36 4-7124 the answer. RULE a.* . From 8 times the chord of half the arc subtract the chord of the whole arc, and ~ of the remainder "-'ill be the length of the arc nearly. 2. The * DEMONSTRATION. Let the radius OD~r,... | |
 | Anthony Nesbit, W. Little - 1822 - 916 sider
...French iaticians, to 128. PROBLEM XII. To Jtnd the length of the arc of a circle. RULE I. By the Pen. 8 times the chord of half the arc subtract the chord of the whole ate, and i of the remainder will be the length of the arc, nearly. Note 1. Half the chord of the whole... | |
 | Anthony Nesbit - 1824 - 476 sider
...Bonnycastle's As* 'ronomy, 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. Kote. Half the chord of the whole arc,... | |
 | John Nicholson - 1825 - 838 sider
...30 Or 6 : 1 : : 282744 : 47124 Or 3 : 30 : : '05236 X 9 : 47124 90 47124 the answer. Rule 2. 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. 2. The chord AB (Prob. 8.) of the whole... | |
 | John Nicholson (Civil engineer) - 1830 - 240 sider
...: 30 Or 6 : 1 : : 282744 : 47124 Or 3: 30 : : 105236 x 9:47124 90 47124 the answer. Rule 2. From 8 times the chord of half the arc subtract the chord of the whole arc, and .1 of the remainder will be the length of the arc nearly. Ex. 2. The chord AB (Prob. 8.) of the whole... | |
 | Samuel YOUNG (of Manchester.) - 1833 - 272 sider
...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... | |
 | Francis Walkingame - 1833 - 204 sider
...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.... | |
 | Ireland commissioners of nat. educ - 1834 - 370 sider
...value of this 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 - 1834 - 454 sider
...equivalent to the 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... | |
 | Olinthus Gregory - 1834 - 472 sider
...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... | |
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From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly. 
