| Mathematics - 1801 - 658 pages
...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 - Measurement - 1822 - 916 pages
...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 - Surveying - 1824 - 476 pages
...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 - Machinery - 1825 - 838 pages
...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) - Building - 1830 - 238 pages
...: 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 pages
...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 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.... | |
| Ireland commissioners of nat. educ - 1834 - 370 pages
...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 - Astronomy - 1834 - 428 pages
...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 - 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... | |
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