 | Henry Major - Student teachers - 1873 - 588 pages
...therefore the remaining angle DBE is equal to BCD in BDC, the alternate segment of the circle. XXXIII. — Upon a given straight line to describe a segment of a circle, to contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the... | |
 | Edward Atkins - 1874 - 428 pages
...alternate segment of the circle (Ax. 3). = t BCD. Therefore, the angles, &c. QED Proposition 33.— 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 Ijne, and, C the... | |
 | Euclides - 1874 - 342 pages
...alternate segment 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,... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...alternate segment of the circle. (I. ax. 2* Wherefore, it' a straight line, &c. QED PROPOSITION XXXm. PROBLEM. Upon a given straight line to describe a segment of a circle, wJiieh iHatt contain on angle equal to a given rectilineal angle. Let AB be the given straight line,... | |
 | Camberley staff coll - 1876 - 606 pages
...touch another in more points than one on the outside. 8. What is the angle ma segment of a circle ? Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given obtuse rectilineal angle. 9. To describe an isosceles... | |
 | Edward Atkins - 1876 - 130 pages
...alternate segment of the circle (Ax. 3). Therefore, the angles, &c. QEJ}. Proposition 33.—Problem. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. The centre 13 in BA. . •. ADB is a right... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...angles of a triangle all meet in the same point, viz., the centre of the inscribed circle. PROBI.EM XVI. 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, upon which it is required to... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...and join AB, BC. Because in the triangles ADB, CDB, AD, DB and the angle ADB of one, Proposition 24. 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... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...each 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... | |
 | College of preceptors - 1882 - 528 pages
...not diameters, that which is nearer to the centre is greater than that which is more remote. 6. On a given straight line to describe a segment of a circle that shall contain an angle equal to a given rectilineal angle. On the sides AO, AB of a triangle ABO, segments of circles... | |
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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... 
