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" 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... "
The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying - Page 9
by Jeremiah Day - 1831 - 370 pages
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Elements of Plane and Spherical Trigonometry

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 •...
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A Practical Workshop Companion for Tin, Sheet Iron, and Copper Plate Workers...

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...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

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...
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Elements of Geometry and Trigonometry: With Practical Applications

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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Elementary and Practical Instructions on the Science of Railway Construction

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...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...segment less than a semicircle. 186. To find the area of a segment which it lett than a semicircle. RULE. Find the area of the sector which has the same arc, and subtract the area of the triang1e formed by the radii and the chord. 187. Examples : (1) The radius...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 500 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...
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