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" Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector. "
Applied Mechanics: A Treatise for the Use of Students who Have Time to Work ... - Page 5
by John Perry - 1897 - 678 pages
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...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 of the segment and the radii of the sector. Then, if the segment is less than a semicircle, take the difference of these areas...
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Rudimentary treatise on mensuration and measuring

Thomas Baker (C.E.) - 1865 - 174 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 the difference of these two areas is the area of the segment. See Note 1. RULE II. Divide the...
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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 Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...circleRULE I Find the area of the sector having the same arc wi!\ the segment, by the last ProblemII Find the area of the triangle formed by the chord of the segment and the two radii through its extremitiesAPPLICATIt NS Mensuration of SurfacesKXAMPLES 1 - What is the area of the segment...
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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,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...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 of the segment and the radii of the. sector. Then, if the segment is less than a semicircle, take the difference of these...
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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 semicircle, for the required...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...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 of the segment and the radii of the sector. Then, if the segment is less than a semicircle, take the difference of these areas...
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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 a semicircle,...
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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 a semicircle,...
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