 | Thomas Baker (C.E.) - 1865 - 174 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 the difference of these two areas is the area of the segment. See Note... | |
 | Benjamin Greenleaf - Geometry - 1866 - 328 pages
...To find the area of a SEGMENT of a circle. ffind the area of the sector having- the same arc ivith the segment, and also the area of the triangle formed...difference of these areas ; but if greater, take their sum. 647. Scholium. When the height of the segment and the diameter of the circle are given, the area may... | |
 | Leroy J. Blinn - Sheet-metal work - 1866 - 216 pages
...sector whose arc is equal to that of the given segment, and if it be less then a semicircle subtract the area of the triangle formed by the chord of the segment and radii of its extremities ; but if more than a semicircle add the area of the triangle to the area of... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...have the following RULE. find the area of a sector which has the same arc as the segment ; also tlie area of the triangle formed by the chord of the segment, and the radii of the sector. Then take the difference of these areas when the segment is less than a semicircle, and the sum when it... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...Required the area of a sector, of which the angle is 137° 20', and the radius 456 links. • Ans. 2 A. 1R. 38 P. 21.92yd. . PROBLEM XXIII. 646. To find...greater, take their sum. BOOK XI. the diameter of the circle are given, the area may be readily found by means of a table of segments, by dividing the... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...The AREA OF A SEGMENT is found as follows: RULE.—Find the area of the sector having the same arc, and also 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, add the two areas ; if less, subtract them. 1. Required... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...yards. 3. Required the area of a sector, of which the angle is 137° 20', and the radius 456 links. Ans. 2 A. 1R. 38 P. 21.92yd. PROBLEM XXIII. 646. To find...greater, take their sum. BOOK XI. the diameter of the circle are given, the area may be readily found by means of a table of segments, by dividing the... | |
 | 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... | |
 | 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... | |
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Find the area of the sector having' the same arc with the segment, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then... 
