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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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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1840 - 436 pages
...Sector, by the preceding Rule. Then find the area of the triangle formed by the chord of the segments, and the radii of the sector. Then, if the segment...semicircle, subtract the area of the triangle from it ; or, if the segment be greater than a semicircle, add the area of the triangle to it ; for the...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - Geometrical drawing - 1840 - 264 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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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...1. I-'ind the area of the sector having the same arc with the segment by the last problem. Then find the area of the triangle formed by the chord of the segment and the two radii of the sector. Take the sum of these two for the answer when the segment is greater than...
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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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