Books Books 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 274
by Benjamin Greenleaf - 1868 - 320 pages ## Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 236 pages
...I. Find the area of the sector having the same are with the segment, by the last Problem. II. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. APPLICATIONS Mensuration of Surfaces. EXAMPLES. 1 . What is the... ## The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1851 - 310 pages
...circle. — 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 radii of the sector. Then the sum, or difference, of these areas, according as the segment is greater or less than a semicircle,... ## Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 332 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... ## A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 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 SEGMENT AJJD THE RADII OF THE SECTOR. THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF... ## Mechanics for the Millwright, Machinist, Engineer, Civil Engineer, Architect ...

Frederick Overman - Building - 1851 - 454 pages
...segment is found by finding, first, the area of the sector belonging to the arc of the segment, and then the area of the triangle formed by the chord of the segment and the two radii of the sector ; the sum of the two will be the area in case the segment is larger than half... ## The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1852 - 598 pages
...circle- — 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 radii of the sectorThen the sum, or difference, of these areas, according as the segment is greater or less than... ## High School Arithemtic: Containing the Elementary and the Higher Principles ...

James B. Dodd - Arithmetic - 1852 - 410 pages
...The Area of a Segment of a circle is equal to the area of the sector having the same arc, + or — the triangle formed by the chord of the segment and the radii of the sector, according as the segment is greater or less than a semicircle. IX. The Area of an Ellipse is a geometrical... ## The Excise Officer's Manual: Being a Practical Introduction to the Business ...

Joseph Bateman - Excise tax - 1852 - 376 pages
...i. 47 Euelid); then, (A Cx 8)— 24-^3 = 25-7309 sector, having the same arc as the segment ; find the area of the triangle, formed by the chord of the segment and the two radii of the sector ; then, if the segment be less than a semicircle, the difference of the two... ## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 334 pages
...I. Find the area of the sector having the same arc w1th the segment, by the last Problem. II. Find the area of the triangle formed by the chord of the segment and tlte two radii through its extremities. Ill If the segment 1s greater than the semicircle, add the... 