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" RULE. 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... "
A Practical System of Mensuration of Superficies and Solids ... - Page 53
by J. M. Scribner - 1844 - 123 pages
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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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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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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 - 394 pages
...3, what is the area of the sector ADBC ? PROBLEM VI. To find the area of a SEGMENT of a circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC,...OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN, iť 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 Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1836 - 418 pages
...what is the area of the sector ADBC ? PROBLEM VI. ^/ To find the area of a SEGMENT of a circle, 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC,...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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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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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - Measurement - 1837 - 290 pages
...Ana. 1-41372. PROBLEM XXVIII. To find the area of the segment of a circle. MENSURATION OF SUPERFICIES. of the triangle, formed by the chord of the segment and the two radii of the sector. Then add these two areas together, when the segment is greater than a semi-circle,...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...113, what is the area of the sector ADBC ? PROBLEM VI. To find the area of a SEGMENT of a circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC,...OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN, IP THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR....
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