 | William Chauvenet - Geometry - 1872 - 382 pages
...escribed circles. PROPOSITION XLII.—PROBLEM. 96. Upon a given straight line, to describe a segment which shall contain a given angle. Let AB be the given line. At the point B construct the angle ABC equal to the given angle. Draw BO perpendicular to BC, and DO... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...chord joining the points of contact of parallel tangents is a diameter. PROPOSITION XXXIII. PROBLEM. On a given straight line to describe a segment of a circle capable of containing an angle equal to a given angle. M. Let AB be the given st. line, and C the given... | |
 | Hugo Reid - Mathematics - 1872 - 148 pages
...centre of a circle is always perpendicular to a tangent at the point of contact. Problem, 41. 169. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. Let AB be the given straight line, and H the given angle.... | |
 | William Frothingham Bradbury - Geometry - 1873 - 132 pages
...tangents to the given circle. 19f Corollary. The tangents AB, AD are equal (I. 50). PROBLEM XV. 20t 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. At B make the angle ABD equal to the given angle (5). Draw BC perpendicular to DB; bisect... | |
 | Euclides - 1874 - 342 pages
...of the circle (I. Ax. 2). Wherefore, if a straight line, &c. QED PROPOSITION 33. — Problem. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle C the... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...segment of the circle. (I. ax. 2. Wherefore, if a straight line, &c. QED PROPOSITION XXXin. PROBLEM. Upon a given straight line to describe a segment of a circle, which that! contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...a triangle all meet in the same point, viz., the centre of the inscribed circle. PROBLEM XVI. Upon a given straight line, to describe a segment of a...which shall contain a given angle. Let AB be the given straight line, upon which it is required to describe a segment of a circle containing a given angle.... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...right angles (III. 25); therefore AB and AD are tangents to the given circle. PROBLEM XV. BO. 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. At B make the angle ABD equal to the given angle (5). Draw BC perpendicular to DB; bisect... | |
 | Samuel H. Winter - 1880 - 172 pages
...draw a tangent to a given circle from a point either without or on the circumference . . .7 IX. Upon a straight line to describe a segment of a circle which shall contain a given angle . . . .8 X. To describe a circle passing through three given points not in the same straight line .... | |
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Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 
