| William Frothingham Bradbury - Geometry - 1872 - 268 pages
...tangents to the given circle. 19. Corollary. The tangents AB, AD are equal (I. 50). PROBLEM XV. 20. 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... | |
| Hugo Reid - Mathematics - 1872 - 146 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.... | |
| 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... | |
| Euclides - 1872 - 102 pages
...QED PROPOSITION XXXIII. PROBLEM. On a given straight Una to describe a segment of a circle containing **an angle equal to a given angle. Let AB be the given** st . line, and C the given L . It is reqd. to describe on AB a segment of a © which shall contain... | |
| William Frothingham Bradbury - Geometry - 1873 - 138 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... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the chord FG will coincide with the chord HK, and is .-. = it. PROBLEM D. On a given straight lint **describe a segment of a circle -which shall contain an angle equal to a given** rectilineal angle. ft 1 Let AB be the given straight line and Q the given / . It is required to describe... | |
| Euclides - 1874 - 342 pages
...the angle C the given rectilineal angle. It is required to describe upon the given straight line AB, **a segment of a circle, which shall contain an angle equal to** the angle C. First. Let the angle C be a right angle. Construction. Bisect AB in F (I. 10) ; and from... | |
| Euclides - 1874 - 234 pages
...PROBLEM. (Euc. III. 33.) Upon a given strait/lit line to describe a segment of a circle, containing **an angle equal to a given angle. Let AB be the given** line; it is required to describe upon it a segment of a circle containing an angle equal to the given... | |
| Sir George Greenhill - Mathematics - 1876 - 318 pages
...constant. This circle is analogous to the nine-pointic circle of a triangle. 3. Upon a given straight line **describe a segment of a circle which shall contain an angle equal to a given** rectilineal angle. Through a fixed point 0 any straight line OPQ is drawn cutting a fixed circle in... | |
| Robert Potts - Geometry, Plane - 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... | |
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