| Benjamin Greenleaf - Geometry - 1862 - 532 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. Gil.... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 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. BOOK... | |
| 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,... | |
| 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... | |
| Elias Loomis - Logarithms - 1865 - 400 pages
...radius 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, and nlso the area of the triangle formed by the chord of the segment and the radii of the sector. 70 •... | |
| 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... | |
| Benjamin Greenleaf - Geometry - 1868 - 340 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. BOOK... | |
| Edward Brooks - Geometry - 1868 - 284 pages
...square inches. 19. The AREA OF A SEGMENT is found as follows: RULE.—Find the area of the sector having the same arc, and also the area of the triangle formed...chord of the segment and the radii of the sector. If the segment is greater than a semicircle, add the two areas ; if less, subtract them. 1. Required... | |
| Benjamin Greenleaf - 1869 - 516 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. BOOK... | |
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