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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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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 256 pages
...1 . Find 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 or less than a...
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A Short System of Practical Arithmetic: Compiled from the Best Authorities ...

William Kinne - 1829 - 246 pages
...semicircle. RULE. — Find the area of the sector having the same arch as the segment, by Case 6 ; find also the area of the triangle formed by the chord of the segment and the radii of the tector, by Case 3 ; subtract the area of the latter from that of the former, and the remainder will...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - Building - 1830 - 240 pages
...Circle. Rule. 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 two radii of the sector. Then the sum of these two will be the answer when the segment 'a greater than...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 520 pages
...To find the area of a SEGMENT of a circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC, AND ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD...AND THE RADII OF THE SECTOR. THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR. BlJT, IF...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...To find the area of a SEGMENT of a circle. 35. 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, i» THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE...
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A Short System of Practical Arithmetic: Compiled from the Best Authorities ...

William Kinne - Accounting - 1831 - 248 pages
...semicircle. ROLE.—Find the area of the sector having the same arch as the segment, by Case 6 ; find also the area of the triangle formed by the chord of the segment and the radii of the sector, by Case 3 ; subtract the area of the latter from that of the former, and the remainder will be the...
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834 - 370 pages
...RULE I. Find the area of the sector having the same arc with 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 add these two areas toge^ ther, when the segment is greater than a semi-circle,...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...sector. To find the area of the 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...and the radii of the sector. Then, if the segment be less than a semicircle, subtract the area of the triangle from the area of the sector. But if the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...circle. RULE. — 1 . Find the area of the sector having the same arc, by 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...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1836 - 418 pages
...To find the area of a SEGMENT of a circle, 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC, AND ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEOMENT AND THE RADII OF THE SECTOR. I THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE...
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