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" ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN... "
Elements of Plane and Spherical Trigonometry: With Their Applications to ... - Page 76
by Elias Loomis - 1886 - 199 pages
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Elementary and Practical Instructions on the Science of Railway Construction

Sir Rowland Macdonald Stephenson - Railroads - 1869 - 446 pages
...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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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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...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...
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Practical Mechanics

John Perry - Machinery, Kinematics of - 1883 - 486 pages
...the circle. Area of a segment of a circle. — Find the area of the sector having the same arc, and the area of the triangle formed by the chord of the segment and the two radii of the sector. Take the sum or difference of these areas as the segment is greater or less...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...triangle AEB. Hence, we have the following RULE. — Find the area of the coiresponding sector, and also of the triangle formed by the chord of the segment and the two extreme radii of the sector; subtract tl1e latter from the former when the segment is less than...
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The Colliery Engineer Pocket-book of Principles Rules, Formulæ, and Tables ...

Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...360°. To find the area of a segment.— 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. THE ELLIPSE....
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Mensuration

William Shaffer Hall - Measurement - 1893 - 88 pages
...the segment is less than a semicircle, subtract from the area of the sector which has the same arc, 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, its area is equal to the sum of the areas of the triangle...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1895 - 1234 pages
...finit the area of a segment of a circle: 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 lake the sum of these areas, if the segment is greater than a semicircle, but take their difference...
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Applied Mechanics: A Treatise for the Use of Students who Have Time to Work ...

John Perry - Mechanical engineering - 1897 - 724 pages
...the circle. Area of a segment of a circle. — Find the area of the sector having the same arc, and the area of the triangle formed by the chord of the segment and the two radii of the sector. Take the sum or difference of these areas as the segment is greater or less...
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