| Jeremiah Day - Geometry - 1839 - 434 pages
...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 SECTOR. THEN, IF THE SEGMENT BE LESS THAN A SEMI-CIRCLE, SUBTRACT THE AREA OF THE TRIANGLE FROM THE AREA OF... | |
| Charles Davies - Geometrical drawing - 1840 - 262 pages
...RULE. 1st. Find the area of the sector having the same arc with the segment by the last Problem. 2d. Find the area of the triangle formed by the chord of the segment and the two radii through its extremities. 3d. If the segment is greater than the semicircle, add the two areas... | |
| Frederick Augustus Griffiths - 1840 - 436 pages
...required. To find 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 segments, and the radii of the sector. Then, if the segment be less than a semicircle, subtract the... | |
| Joseph Gwilt - Architects - 1842 - 1114 pages
...rirofe. Hule 1. I-'ind the area of the sector having the same arc with the segment by the last problem. Then find the area of the triangle formed by the chord of the segment and the two radii of the sector. Take the sum of these two for the answer when the segment is greater than... | |
| Charles Haynes Haswell - Engineering - 1844 - 298 pages
...12. (See table of 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...of the sector, and the difference of these areas, according as the segment is greater or less than a semicircle, will be the area required. RULE 2. —... | |
| J. M. Scribner - Measurement - 1844 - 130 pages
...following rule is given in Day's Mathematics: 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, if the segment be less than a semi-circle, subtract the area of the triangle from the area of... | |
| Nathan Scholfield - 1845 - 894 pages
...of the segment of a circle. ROLE I. — 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 if the segment is less than a semicircle, subtract the area of the triangle from the area of the... | |
| William Watson (of Beverley.) - 1845 - 188 pages
...a circle. RULE. — Find the area of the sector which has the same arc with the segment : find also the area of the triangle formed by the chord of the segment, and the radii of the sector, then the difference or sum of these areas will be that of the segment, according as it is less or greater... | |
| William Templeton (engineer.) - 1845 - 210 pages
...sector whose arc is equal to that of the given segment ; and if it he 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... | |
| Scottish school-book assoc - 1845 - 444 pages
...of the sector having the same arc with the segment by the last problem. Find also the area contained by the chord of the segment, and the radii of the sector. Then take the difference of these two when the segment is less than a semicircle for the area of the... | |
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