 | Elias Loomis - Trigonometry - 1859 - 218 pages
...To find 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. Then take the sum of these areas if the segment is greater than a semicircle, but take their difference... | |
 | Elias Loomis - Logarithms - 1859 - 372 pages
...To find 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 the triangle ACB, and... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...segment of a circle. RULE I. Find the area of the sector, having the same arc as the segment ; also, find the area of the triangle formed by the chord of the segment and the radii of the sector ; then the difference of these areas, when the segment is less than a semicircle, or their sum, when it is... | |
 | Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...the area of tlte segment of a circle. Find the area of the sector, by the preceding rule. Then find the area of the triangle formed by the chord of the segment, and the radii of y>e sector. Then, if the segment be less than a semicircle, subtract the area of the triangle from... | |
 | George Roberts Perkins - Geometry - 1860 - 470 pages
...of a segment, we have this RULE. Find the area, of a sector which has the same arc as the segment j 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 their difference when it is... | |
 | Benjamin Greenleaf - Geometry - 1861 - 628 pages
...yards. 3. Required the area of a sector, of which the angle is 137° 20', aud 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 tho circle are given, the area may bo readily found by means of a table of segments, by dividing the... | |
 | Benjamin Greenleaf - Geometry - 1862 - 520 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...difference of these areas ; but if greater, take their sum. HOOK xi. the diameter of the circle are given, the area may be readily found by means of a table of... | |
 | Benjamin Greenleaf - Geometry - 1862 - 514 pages
...the angle is 137° 20', and the radius 456 links. Ans. 2 A. 1R. 38 P. 21.92yd. PROBLEM XXIII. C46. To find the area of a SEGMENT of a circle. Find the...difference of these areas ; but if greater, take their sum. Gil. Scholium. When the height of the segment and tlic diameter of tho circle are given, the area may... | |
 | Benjamin Greenleaf - Geometry - 1863 - 502 pages
...Required the area of a sector, of which the angle is 137° 20', and the radius 456 links. Ans. 2A. 1R. 38 P. 21.92yd. PROBLEM XXIII. 646. To find the...difference of these areas; but if greater, take their sum. the diameter of the circle are given, the area may he readily found hy means of a table of segments,... | |
 | Oliver Byrne - Engineering - 1863 - 600 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,... | |
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ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN... 
