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" THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF THE SECTOR. "
A Practical Application of the Principles of Geometry to the Mensuration of ... - Page 20
by Jeremiah Day - 1815 - 96 pages
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The Computist's Manual of Facts: And Merchant's and Mechanic's Calculator ...

Ezra S. Winslow - Business mathematics - 1853 - 264 pages
...isosceles triangle formed by the chord of the segment and the two radii of the sector ; if the segment is less than a semicircle, subtract the area of the triangle from the area of the sector, and the remainder will be the area of the segment ; if the segment is greater than a semicircle, subtract...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1855 - 344 pages
...ARC, AND ALSO THE AREA OF A TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR, THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT...THE AREA OF THE TRIANGLE TO THE AREA OF THE SECTOR, 5/X""' P '\^ If the triangle ABO, be taken from the sector AOBC, it is evident the difference will...
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The Mechanic's Text-book and Engineer's Practical Guide ...

Mechanical engineering - 1855 - 420 pages
...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 of the sector, and the remainder, or Bum, is the area of the segment. Thus, suppose the area of the segment ACB e...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...Then find the area of the triangle formed by the chord of the segment, and the radii of y>e sector. Then, if the segment be less than a semicircle, subtract the area of the triangle from it ; or, if the segment be greater than a semicircle, add the area of the tiiangie to it; for the area...
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1859 - 422 pages
...sector. Then, if the segment be less than a semicircle, subtract the area of the triangle from it ; or, if the segment be greater than a semicircle, add the area of the ti iangle to it ; for the area of the segment. Y Example. — Required the area of a segment less than...
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A Practical Workshop Companion for Tin, Sheet Iron, and Copper Plate Workers...

Leroy J. Blinn - Sheet-metal work - 1866 - 216 pages
...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 of the sector and the remainder or sum is the area of the segment. Thus suppose the area of the segment ABC. E fig....
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The Standard Arithmetic: For Schools of All Grades and for ..., Volume 2

James E. Ryan - Arithmetic - 1877 - 212 pages
...the area of the sector . 4th. Find the area of the triangle formed by the chord and the radii. 5th. Subtract the area of -the triangle from the area of the sector. (2d by Rule XXI. b.) Results as follows: (1) 12 in. (2) 24.7 in. (3) 9x24.7 or 18—4 222.3. (4) 22x...
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