| Charles Davies - Geometry - 1850 - 236 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... | |
| 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 - 332 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... | |
| Jeremiah Day - Geometry - 1851 - 418 pages
...To find 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... | |
| Frederick Overman - Building - 1851 - 454 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... | |
| Oliver Byrne - Engineering - 1852 - 598 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** sectorThen the sum, or difference, of these areas, according as the segment is greater or less than... | |
| James B. Dodd - Arithmetic - 1852 - 410 pages
...The Area of a Segment of a circle is equal to the area of the sector having the same arc, + or — **the triangle formed by the chord of the segment and the radii of the sector,** according as the segment is greater or less than a semicircle. IX. The Area of an Ellipse is a geometrical... | |
| Joseph Bateman - Excise tax - 1852 - 376 pages
...i. 47 Euelid); then, (A Cx 8)— 24-^3 = 25-7309 sector, having the same arc as the segment ; find **the area of the triangle, formed by the chord of the segment and the** two radii of the sector ; then, if the segment be less than a semicircle, the difference of the two... | |
| Charles Davies - Geometry - 1886 - 334 pages
...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... | |
| 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... | |
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