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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... "
The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying - Page 9
by Jeremiah Day - 1831 - 370 pages
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1844 - 298 pages
...Areas, page 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 than a semicircle, will...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...is the area of the sector ADBC. PROBLEM xm. To find the area of the segment of a circle. ROLE I. — Find the area of the sector which has the same arc,...segment and the radii of the sector. Then if the segment is less than a semicircle, subtract the area of the triangle from the area of the sector. But if it...
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Watson's Tutor's assistant; or, Complete school arithmetic

William Watson (of Beverley.) - 1845 - 188 pages
...segment of a circle. RULE. — Find the area of the sector which has the same arc with the segment : find also the area of the triangle formed by the chord of the segment, and the radii of the sector, then the difference or sum of these areas will be that of the segment, according as it is less or greater...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...of the sector having the same arc with the segment by the last problem. Find also the area contained by the chord of the segment, and the radii of the sector. Then take the difference of these two when the segment is less than a semicircle for the area of the segment,...
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The operative mechanic's workshop companion, and the scientific gentleman's ...

William Templeton (engineer.) - 1845 - 210 pages
...sector whose arc is equal to that of the given segment ; and if it he less than 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...
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - Geometrical drawing - 1846 - 254 pages
...1st. Find the area of the sector having the same arc with the segment, by the last problem. 2d. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. 3d. If the segment is greater than the semicircle, add the two areas...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 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 take the sum of these two for the answer, when the segment is greater...
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The Practical Engineer's Pocket Guide: Containing a Concise Treatise on the ...

Mechanical engineering - 1847 - 190 pages
...sector whose arc is equal to that of the given segment ; and if it be less than 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...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1848 - 320 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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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...a 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...
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