 | 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 - 1855 - 192 pages
...the area of a segment of a circle. 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. It is obvious that the segment AEB is equal to the sum of the sector ACBE and the triangle ACB, and... | |
 | Charles Davies - 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... | |
 | Jeremiah Day - 1855 - 344 pages
...the circle 113, what is the area of the sector ADBC ? PROBLEM VI. SAME 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 FROM THE AREA OF... | |
 | George Roberts Perkins - 1856 - 460 pages
...segment, we have this RULE. Find the area of a sector which has the same arc as the seaU t/ ment ; also, the area of the triangle formed by the chord of the segment and the radii of the sector. Then take the sum of these areas when the segment exceeds the semicircle, and their difference when... | |
 | 1855 - 420 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... | |
 | Frederick Augustus Griffiths - 1859 - 422 pages
...2 To fiiui the area of the segment of a circle. Find the area of the sector, by the preceding rule. Then find the area of the triangle formed by the chord of the segment, and the radii of the sector. Then, if the segment be less than a semicircle, subtract the area of the triangle from it ; or, if... | |
 | Elias Loomis - 1859 - 372 pages
...the area of a segment of a circle. 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. It is obvious that the segment AEB is equal to the sum of the sector ACBE and the triangle ACB, and... | |
 | Frederick Augustus Griffiths - 1859 - 426 pages
...required. To find the area of tlte segment of a circle. Find the area of the sector, by the preceding rule. 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... | |
 | George Roberts Perkins - 1860 - 472 pages
...segment, we have this RULE. Find the area, of a sector which has the same arc as the segment j also, the area of the triangle formed by the chord of the segment and the radii of the sector. Then take the sum of these areas when the segment exceeds the semicircle, and their difference when... | |
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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. 
