 | Euclides - 1826 - 226 pages
...Let A'B be a given right line, and ca given rectilineal angle. It is required upon the given right line AB to describe a segment of a circle which shall contain an angle equal to the angle at c. At the right line AB, and at the given point A in it, make the angle... | |
 | Euclid - 1826 - 234 pages
...Let A в be a given right line, and ca given rectilineal angle. It is required upon the given right line AB to describe a segment of a circle which shall contain an angle equal to the angle at c. At the right line AB, and at the given point A in it, make the angle... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...for the exercise of his ingenuity, in problems of contact. PBOP. 60. Prob. 7. (Eue. iii. 33.) Upon a given straight line AB to describe a segment of a circle which shall contain an angle equal to a given angle ABC. Let AQ В be the segment required, and P its centre. Then, because... | |
 | Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...opposite sides. The demonstration is the same as the last. PROBLEM XVI. Upon a given straight line to describe a segment of a circle, which shall contain a given angle ; that is, a segment, such that the inscribed angles, having their vertices in the arc of the segment... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 204 pages
...opposite sides. The demonstration is the same as the last. PROBLEM XVII. Upon a given straight line to describe a segment of a circle, which shall contain a given angle ; that is, a segment, such that the inscribed angles, having their vertices in the arc of the segment... | |
 | Mathematics - 1835 - 684 pages
...for the exercise of his ingenuity, in problems of contact. PROP. 60. Prob. 7. (Eue. iii. 33.) Upon a given straight line AB to describe a segment of a circle which shall contain an angle equal to a given angle ABC. Let AQ В be the segment required, and P its centre. Then, because... | |
 | Euclides - 1840 - 192 pages
...the tangent, remains equal to Z. ADB or the angle in the alternate segment. PROP. XXXIII. PROB. Upon a given straight line (AB) to describe a segment of a circle containing an angle equal to a given angle (v). If the given angle be a right angle, bisect the given... | |
 | Dennis M'Curdy - Geometry - 1846 - 168 pages
...(4) p. 31, 3; (c) Note def. 8, 1; (d) cor. 31, 3; (c) ax. 3, 1; (/)p. 22, 3; (?) p. 13, 133 P. Upon a given straight line (AB), to describe a segment of a circle, containing an angle equal to a given rectilineal angle (C). In every case, whether the given angle... | |
 | Basil Jackson - Military reconnaissance - 1847 - 410 pages
...however, upon a single geometrical problem, namely, that by which we are enabled upon a given line to describe a segment of a circle, which shall contain a given angle. That this is necessary the following observations will show : — Two objects can only be seen under... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...the same point, viz., the center of the inscribed circle. FROBLEM XVI. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. AC perpendicular to AD. Bisect AB in E, and from E draw EC perpendicular to AB. From the point C, where... | |
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Upon a given straight line to describe a segment of a circle which shall contain a given angle. Let AB be the given straight line. 
