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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 Geometry: With Practical Applications to Mensuration - Page 272
by Benjamin Greenleaf - 1868 - 320 pages
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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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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1886 - 436 pages
...area of a segment of a circle, KTJLE. Find the area of the sector which has the same arc, and aleo the area of the triangle formed by the chord of the segment and the radii of the sector. Then take the sum of these areas, if the segment is greater than a semicircle, but take their difference...
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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
...sector is to 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
....008727. To 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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Coal and Metal Miners' Pocketbook of Principles, Rules, Formulas, and Tables ...

International Correspondence Schools - Mining engineering - 1900 - 728 pages
...sector is to 3(50°. 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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Questions and Answers from the American Machinist

Mechanical engineering - 1900 - 428 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, the remainder will be the area...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1902 - 1204 pages
....008727. To find 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 take the sum of these areas, if the segment is greater than a semicircle, but take their difference...
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