 | Sir Rowland Macdonald Stephenson - Railroads - 1869 - 446 pages
...RULE I. — Find the area of a sector having the same arc as the segment, by the last problem ; find also the area of the triangle formed by the chord of the segment and the two radii of the sector : then take the difference of these two areas, when the arc is less than a... | |
 | Isaac Todhunter - Measurement - 1869 - 312 pages
...segment less than a semicircle. 186. To find the area of a segment which it lett than a semicircle. RULE. Find the area of the sector which has the same arc, and subtract the area of the triang1e formed by the radii and the chord. 187. Examples : (1) The radius... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...triangle AEB. Hence, we have the following RULE. Find the area of the corresponding sector, and also of the triangle formed by the chord of the segment and the two extreme radii of the sector ; subtract the latter from the former when the segment is less than... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...triangle AEB. Hence, we have the following KUL E. Find the area of the corresponding sector, and also of the triangle formed by the chord of the segment and the two extreme radii of the sector; subtract tJie latter from the former when the segment is less than... | |
 | Moffatt and Paige - 1879 - 506 pages
...ACB and the chord A B. Rule. — Find the area of the sector having the same arc as the segment. Find also the area of the triangle formed by the chord of the segment and the two radii of the sector. Subtract the latter area from the former, when the segment is less than a... | |
 | John Perry - Machinery, Kinematics of - 1883 - 486 pages
...the circle. Area of a segment of a circle. — Find the area of the sector having the same arc, and the area of the triangle formed by the chord of the segment and the two radii of the sector. Take the sum or difference of these areas as the segment is greater or less... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...triangle AEB. Hence, we have the following RULE. — Find the area of the coiresponding sector, and also of the triangle formed by the chord of the segment and the two extreme radii of the sector; subtract tl1e latter from the former when the segment is less than... | |
 | Elias Loomis - Trigonometry - 1886 - 436 pages
...radius is 9 feet? An«., 27.522. PKOBLEM XI. 117. To find the area of a segment of a circle, KTJLE. Find the area of the sector which has the same arc, and aleo the area of the triangle formed by the chord of the segment and the radii of the sector. Then... | |
 | Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...degrees in the sector is to 360°. To find the area of a segment.— Find the area of the sector having the same arc, and also the area of the triangle formed...chord of the segment and the radii of the sector. If the segment is greater than a semicircle, add the two areas ; if less, subtract them. THE ELLIPSE.... | |
 | William Shaffer Hall - Measurement - 1893 - 88 pages
...the segment is less than a semicircle, subtract from the area of the sector which has the same arc, the area of the triangle formed by the chord of the segment and the radii of the sector ; if the segment is greater than a semicircle, its area is equal to the sum of the areas of the triangle... | |
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RULE. Find the area of the sector which has the same arc, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then... 
