 | Elias Loomis - Trigonometry - 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... | |
 | 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... | |
 | George Beecroft - 1857 - 350 pages
...having the same arc with the segment, by the ru1e of 1ast Prob1em. Find a1so the area of the triang1e formed by the chord of the segment and the two radii of the sector ; then add these together for the answer, when the segment is greater than a semicirc1e ; or subtract them,... | |
 | 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
...Semicircle, as 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... | |
 | Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...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... | |
 | Frederick Augustus Griffiths - 1859 - 422 pages
...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... | |
 | Elias Loomis - Logarithms - 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... | |
 | George Roberts Perkins - Geometry - 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... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...of a SEGMENT of a circle. Find the area of the sector having the same arc with the segment, and also the area of the triangle formed by the chord of the segment and the radii of the. sector. Then, if the segment is less than a semicircle, take the difference of these... | |
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Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector. Then... 
