 | Frederick Overman - Building - 1851 - 452 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... | |
 | Oliver Byrne - Engineering - 1852 - 600 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... | |
 | 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... | |
 | 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... | |
 | Charles Davies - Geometry - 1886 - 340 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... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...a circle. 1. Find the area of the sector having the same arc, by the last problem. 2. Find the a%ea of the triangle formed by the chord of the segment and the two radii of the sector. Ex. 1. To find the area of the segment ACB, its chord AB being 12, and the... | |
 | Jeremiah Day - Mathematics - 1853 - 288 pages
...what is the area of the sector ADBC 1 jrfv PROBLEM VI. To find the area of a SEGMENT of a circle. 35. FIND THE AREA OF THE SECTOR WHICH HAS THE SAME ARC,...FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THK AREA OF... | |
 | James B. Dodd - 1853 - 398 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. The demonstration of the preceding propositions... | |
 | Elias Loomis - Trigonometry - 1855 - 192 pages
...radius is 9 feet ? Ans., 27.522 feet. PROBLEM XL (100.) To find the area of a segment of a circle. RULE. Find the area of the sector which has the same arc,...chord of the segment and the radii of the sector. It is obvious that the segment AEB is equal to the sum of the sector ACBE and the triangle ACB, and... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...circleRULE I Find the area of the sector having the same arc with the segment, by the last ProblemII Find the area of the triangle formed by the chord of the segment and the two radii through its extremitiesAPPLICATIONS Mensuration of SurfacesEXAMPLES 1 What is the area of... | |
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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... 
