 | Great Britain. Scottish Education Dept - National teacher examinations - 1898 - 106 pages
...rectangle BD, DC together with square on MO is equal to square on MD. A. 3. On a given straight line GK describe a segment of a circle which shall contain an angle equal to a given angle PQR. A. 4. GFK and BCD are two triangles with the three angles of the one equal to the three angles... | |
 | Royal Statistical Society (Great Britain) - Great Britain - 1845 - 786 pages
...figure be bisected by both its diagonals it is a parallelogram. 3. To describe upon a given right line a segment of a circle which shall contain an angle equal to a given rectilineal angle. The base, the vertical angle, and one of the other sides of a triangle are given... | |
 | Euclid - 1845 - 336 pages
...^KPR = ^B and LHPQ=LC; show that the triangles PQR, ABC are equiangular to one another. 151. PROP. 6. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. O/ '0 P) On the given straight line AB, to describe a segment... | |
 | Euclid - 452 pages
...drawing the common tangent at the point of contact and using this proposition, m. 32. PROPOSITION 33. i On a given straight line to describe a segment of a circle admitting an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle... | |
 | 356 pages
...through the four corners of any given quadrilateral. 73. On a given chord to draw a segment containing an angle equal to a given angle. Let AB be the given chord. Suppose the given angle is 70°. The angle at the centre is 140° (Fig. 91). .-. L AOB =140°,... | |
 | Edinburgh Mathematical Society - Electronic journals - 1894 - 168 pages
...effected by III. 30. To bisect a given arc of a circle. The construction may be effected by III. 33. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. 61^ + 311»+ 180, +90, The construction may be effected... | |
 | Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...related to each other in some act of comparison. 33.- » ± * ft B # M ft B # ft * m 8 a » ft ^ Heath On a given straight line to describe a segment of a circle admitting an angle equal to a given rectilineal angle. (On one straight line it is required to make... | |
 | Military Academy, West Point - 906 pages
...the angles A and B. wt. 12 Theorem : The altitudes of a triangle meet In a point. 10 Problem : Upon a given straight line to describe a segment of a circle which »hull contain a given angle. 1O Problem : Through a given point without a given circle to draw a secant... | |
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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. 
