 | Elias Loomis - Conic sections - 1849 - 252 pages
...angles of a triangle, all meet in 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... | |
 | Euclides - 1850 - 350 pages
...the angle BCD in the alternate segment of the circle, (ax. 2.) BUCLIDS ELEMENTS. PROPOSITION XXXIII. 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,... | |
 | Education - 1851 - 502 pages
...together equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. 2. To describe a square which shall... | |
 | Euclides - Geometry - 1853 - 176 pages
...the alternate segment of the circle. Wherefore, if a straight line, <fcc. QED PROPOSITION XXXIII. — PROBLEM. Upon a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. LET ab be the given straight line, and the... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...alternate segment of the circle. Wherefore, if a straight line, etc. QED PROPOSITION XXXIII. PROB. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the... | |
 | Euclides - 1855 - 270 pages
...3. — The chord which joins the points of contact of parallel tangents is a diameter. PROP. XXXIIL PROBLEM. Upon a given straight line to describe a segment of a circle, tchicJt shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line,... | |
 | Robert Potts - 1855 - 1050 pages
...is equal to the square of the straight lin« »hich is made up of the half and the part produced. 6. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. .7. Two circles ASCD, EBCF, having... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...touching the circle, shall be equal to the angles which are in the alternate segments of the circle. 11. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. If any three points in the circumference... | |
 | William Pease - 1856 - 108 pages
...triangle, and its circumference shall pass through the vertex of the first triangle. PROBLEM XXXVII. On a straight line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given straight line. 1. Make BAG equal to the given... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...alternate segment of the circle. (i. ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. 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,... | |
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UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and... 
