| 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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