 | Jeremiah Day - Mathematics - 1853 - 288 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 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 - 402 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... | |
 | Jeremiah Day - Geometry - 1854
...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...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 THE SECTOR. BUT, IF... | |
 | Elias Loomis - Trigonometry - 1855 - 192 pages
...To find 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... | |
 | Jeremiah Day - Logarithms - 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 THE SECTOR. BUT, IF... | |
 | Charles Davies - Geometry - 1855 - 336 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... | |
 | George Roberts Perkins - Geometry - 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 it is... | |
 | Mechanical engineering - 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... | |
 | Charles Haynes Haswell - Measurement - 1858 - 350 pages
...ab c, Fig. 27. RULE — Find the area of the sector having the same arc as 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 will be the area required. NOTE. — Subtract the versed sine from... | |
 | Frederick Augustus Griffiths - 1859 - 422 pages
...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...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 the segment be greater... | |
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ALSO THE AREA OF THE TRIANGLE FORMED BY THE CHORD OF THE SEGMENT AND THE RADII OF THE SECTOR. THEN... 
