| Elias Loomis - Logarithms - 1865 - 386 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 - 172 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... | |
| Benjamin Greenleaf - Geometry - 1866 - 328 pages
...To find the area of a SEGMENT of a circle. ffind the area of the sector having- the same arc ivith **the segment, and also the area of the triangle formed...difference of these areas ; but if greater, take their sum.** 647. Scholium. When the height of the segment and the diameter of the circle are given, the area may... | |
| 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... | |
| Edward Brooks - Geometry - 1868 - 294 pages
...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 by the 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... | |
| Sir Rowland Macdonald Stephenson - Railroads - 1869 - 446 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 take the difference of these two areas, when the arc is less than a... | |
| Charles Davies - Geometry - 1872 - 464 pages
...triangle AEB. Hence, we have the following RULE. Find the area of the corresponding sector, and also **of the triangle formed by the chord of the segment and the** two extreme radii of the sector ; subtract the latter from the former when the segment is less than... | |
| Adrien Marie Legendre - Geometry - 1874 - 512 pages
...triangle AEB. Hence, we have the following KUL E. Find the area of the corresponding sector, and also **of the triangle formed by the chord of the segment and the** two extreme radii of the sector; subtract tJie latter from the former when the segment is less than... | |
| Moffatt and Paige - 1879 - 506 pages
...ACB and the chord A B. Rule. — Find the area of the sector having the same arc as the segment. Find **also the area of the triangle formed by the chord of the segment and the** two radii of the sector. Subtract the latter area from the former, when the segment is less than a... | |
| |