 | Frederick Overman - Building - 1851 - 452 pages
...segment is found by finding, first, the area of the sector belonging to the arc of the segment, and then the area of the triangle formed by the chord of the segment and the two radii of the sector ; the sum of the two will be the area in case the segment is larger than half a circle, and the difference... | |
 | Oliver Byrne - Engineering - 1851 - 310 pages
...circle. — Find the area of the sector, having the same arc with the segment, by the last problem. Find the area of the triangle formed by the chord of the segment, and the radii of the sector. Then the sum, or difference, of these areas, according as the segment is greater... | |
 | Charles Haynes Haswell - Engineering - 1851 - 346 pages
...Areas, page 72.) RULE 1. — Find the area of the sector having the same arc with the segment, then find the area of the triangle formed by the chord of the segment and the radii of the sector, and the difference of these areas, according as the segment is greater or less... | |
 | Jeremiah Day - Geometry - 1851 - 418 pages
...the area of a SEGMENT of a circle. 35. 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 AJJD THE RADII OF THE SECTOR. THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...a circle. 1. Find the area of the sector having the same arc, by the last problem. 2. Find the a%ea of the triangle formed by the chord of the segment and the two radii of the sector. Ex. 1. To find the area of the segment ACB, its chord AB being 12, and the radius EA, 10 feet. As EA... | |
 | Charles Davies - Geometry - 1886 - 340 pages
...RULE. I. Find the area of the sector having the same arc w1th the segment, by the last Problem. II. Find the area of the triangle formed by the chord of the segment and tlte two radii through its extremities. Ill If the segment 1s greater than the semicircle, add the... | |
 | Ezra S. Winslow - Business mathematics - 1853 - 264 pages
...of a sector whose arc is equal to that of the given segment, and then find the area of the isosceles triangle formed by the chord of the segment and the two radii of the sector ; if the segment is less than a semicircle, subtract the area of the triangle from the area of the... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...circleRULE I Find the area of the sector having the same arc with the segment, by the last ProblemII Find the area of the triangle formed by the chord of the segment and the two radii through its extremitiesAPPLICATIONS Mensuration of SurfacesEXAMPLES 1 What is the area of the segment... | |
 | Elias Loomis - Trigonometry - 1855 - 192 pages
...the area of a segment of a circle. 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. It is obvious that the segment AEB is equal to the sum of the sector ACBE and... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...segment, we have this RULE. Find the area of a sector which has the same arc as the seaU t/ ment ; also, the area of the triangle formed by the chord of the segment and the radii of the sector. Then take the sum of these areas when the segment exceeds the semicircle, and... | |
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Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector. 
