| George Roberts Perkins - Geometry - 1856 - 460 pages
...segment, we have this RULE. Find the area of a sector which has the same arc as the seaU t/ ment ; 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... | |
| Mechanical engineering - 1855 - 420 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 Haynes Haswell - Measurement - 1858 - 350 pages
...ab c, Fig. 27. RULE — Find the area of the sector having the same arc as 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 will be the area required. NOTE. — Subtract the versed sine from... | |
| Frederick Augustus Griffiths - 1859 - 422 pages
...the area of the 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...semicircle, subtract the area of the triangle from it ; or, if the segment be greater than a semicircle, add the area of the ti iangle to it ; for the... | |
| Elias Loomis - Trigonometry - 1859 - 218 pages
...radius is 9 feet ? Ans., 27.522 feet. PROBLEM XL (100.) To find the area of a segment of a circle. RULE. Find the area of the sector which has the same arc,...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
...is 9 feet ? Ans., 27.522 feet. PROBLEM XI. (100.) To find the area of a segment of a circle. RULE. Find the area of the sector which has the same arc,...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 - 472 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 - 1862 - 518 pages
...the area of a SEGMENT of a circle. Find the area of the sector having the same arc with the segment, and also the area of the triangle formed by the chord...and the radii of the sector. Then, if the segment is less than a semicircle, take the difference of these areas ; but if greater, take their sum. HOOK... | |
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