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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. Then... "
A Treatise on Mensuration for the Use of Schools - Page 49
by Commissioners of National Education in Ireland - 1837 - 262 pages
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 320 pages
...the area of the sector, having the same arc with the segment, by the last problem. 2. Find the area of the triangle formed by the chord of the segment, and the radii of the sector. 3. Then the sum, or difference, of these areas, according as the segment is greater...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...circle. RULE.—1. Find the area of the sector having the same arc, oy the last problem. 2. Find the area of the triangle formed by the chord of the segment and the two radii of the sector. 3. Then add these two together for the answer when the segment is greater than a semicircle, and subtract...
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Ticknor's Mensuration, Or, Square and Triangle: Being a Practical and ...

Almon Ticknor - Measurement - 1849 - 156 pages
...the area of the sector having the same arc with the segment, by the last problem. 2. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. 3. If the segment is greater than the semicircle, add the two areas together;...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...area of the sector having the same arc with the segment, by the last Problem. O ' J II. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. APPLICATIONS Mensuration of Surfaces. EXAMPLES. 1 . What is the area of the...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...the area of the sector having the same are with the segment, by the last Problem. II. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. APPLICATIONS Mensuration of Surfaces. EXAMPLES. 1 . What is the area of the...
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Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect ...

Frederick Overman - Building - 1851 - 452 pages
...found by finding, first, the area of the sector belonging to the arc of the segment, and then the area of the triangle formed by the chord of the segment and the two radii of the sector ; the sum of the two will be the area in case the segment is larger than half a circle, and the difference...
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1851 - 310 pages
...Find the area of the sector, having the same arc with the segment, by the last problem. Find the area of the triangle formed by the chord of the segment, and the radii of the sector. Then the sum, or difference, of these areas, according as the segment is greater...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 346 pages
...72.) RULE 1. — Find the area of the sector having the same arc with the segment, then find the area of the triangle formed by the chord of the segment and the radii of the sector, and the difference of these areas, according as the segment is greater or less...
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The Excise Officer's Manual: Being a Practical Introduction to the Business ...

Joseph Bateman - Excise tax - 1852 - 376 pages
...Euelid); then, (A Cx 8)— 24-^3 = 25-7309 sector, having the same arc as the segment ; find the area of the triangle, formed by the chord of the segment and the two radii of the sector ; then, if the segment be less than a semicircle, the difference of the two areas is the answer ; if greater,...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...a circle. 1. Find the area of the sector having the same arc, by the last problem. 2. Find the a%ea of the triangle formed by the chord of the segment and the two radii of the sector. Ex. 1. To find the area of the segment ACB, its chord AB being 12, and the radius EA, 10 feet. As EA...
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