 | 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...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 of the segment 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... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...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 of the segment 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... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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 of the segment 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... | |
 | 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,... | |
 | Elias Loomis - Logarithms - 1865 - 400 pages
...the area of a segment of a circle. RULE. Find the area of the sector which has the same arc, and nlso the area of the triangle formed by the chord of the segment and the radii of the sector. 70 • TRIGONOMETRY. \ It is obvious that the segment AEB is equal to the sum of the sector ACBE and... | |
 | Thomas Baker (C.E.) - 1865 - 174 pages
...RULE I. — Find the area of a sector having the same arc as the segment, by the last problem ; find also the area of the triangle, formed by the chord of the segment and the two radii of the sector : then the difference of these two areas is the area of the segment. See Note... | |
 | Leroy J. Blinn - Sheet-metal work - 1866 - 216 pages
...sector whose arc is equal to that of the given segment, and if it be less then 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 of... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...have the following RULE. find the area of a sector which has the same arc as the segment ; also tlie area of the triangle formed by the chord of the segment, and the radii of the sector. Then take the difference of these areas when the segment is less than a semicircle, and the sum when it is greater.... | |
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ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN... 
