| William Watson (of Beverley.) - 1845 - 188 pages
...a circle. RULE. — Find the area of the sector which has the same arc with the segment : find also the area of the triangle formed by the chord of the segment, and the radii of the sector, then the difference or sum of these areas will be that of the segment, according... | |
| William Templeton (engineer.) - 1845 - 210 pages
...sector whose arc is equal to that of the given segment ; and if it he less than 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... | |
| Charles Davies - Geometrical drawing - 1846 - 254 pages
...circle ? 1st. Find the area of the sector having the same arc with the segment, by the last problem. 2d. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. 3d. If the segment is greater than the semicircle, add the two areas together... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...Find the area of the sector having the same arc with 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 sum of these two for the answer, when the segment is greater than a semicircle : or take their... | |
| Mechanical engineering - 1847 - 190 pages
...sector whose arc is equal to that of the given segment ; and if it be less than 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... | |
| John Bonnycastle - Geometry - 1848 - 320 pages
...RULE I.* 1. Find the area of the sector, having the same arc with the segment, by the last problem. 2. Find the area of the triangle formed by the chord of the segment, and the radii of the sector. 3. Then the sum, or difference, of these areas, according as the segment is greater... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...segment of a circle. RULE.—1. Find the area of the sector having the same arc, oy the last problem. 2. Find the area of the triangle formed by the chord of the segment and the two radii of the sector. 3. Then add these two together for the answer when the segment is greater than a semicircle, and subtract... | |
| Almon Ticknor - Measurement - 1849 - 156 pages
...RULE 1. — Find the area of the sector having the same arc with the segment, by the last problem. 2. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. 3. If the segment is greater than the semicircle, add the two areas together;... | |
| Thomas Kelt - Mechanical engineering - 1849 - 424 pages
...sector whose arc is equal to that of the given segment ; and if it be less than 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... | |
| Charles Davies - Geometry - 1850 - 238 pages
...RULE. I. Find the area of the sector having the same are with the segment, by the last Problem. II. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. APPLICATIONS Mensuration of Surfaces. EXAMPLES. 1 . What is the area of the... | |
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