| 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
...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 or less than a... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...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... | |
| Almon Ticknor - Measurement - 1849 - 156 pages
...— 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... | |
| 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 - 218 pages
...Find the area of the sector having the same arc with the segment, by the last Problem. O ' J 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... | |
| Charles Davies - Geometry - 1850 - 238 pages
...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... | |
| Jeremiah Day - Geometry - 1851 - 418 pages
...113, what is the area of the sector ADBC ? PROBLEM VI. To find the area of a SEGMENT of a circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC,...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... | |
| 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 or less than a semicircle,... | |
| 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 than a semicircle, will... | |
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