| Woolwich roy. military acad - 1868 - 426 pages
...which has the greater angle shall be greater than the base of the other. 11. On a given straight line to describe a segment of a circle containing an angle equal to a given obtuse rectilineal angle. When is one plane perpendicular to another? From the same point in... | |
| Edinburgh univ - 1868 - 336 pages
...of the square of the line made np of the half and the part produced. 6. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. 7. To inscribe a circle if! a given square, and to describe a circle about... | |
| James Maurice Wilson - Geometry - 1868 - 150 pages
...alternate to TAE is equal to the angle TAE, that is, is equal to D, PROBLEM 4. 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 line, C the given angle. Construction. At the point A make an angle... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...describe a segment of a circh. 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 ingle. BOOK V AC p3rpendicular to AD. Bisect AB in E, and from E draw EC perpendicular to AB.... | |
| Hugo Reid - Mathematics - 1872 - 148 pages
...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. At B make the angle ABD equal... | |
| Euclides - 1872 - 102 pages
...= L FED, that is, / DFA= L in segment FED. 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... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...point, and that these two are equal. Pnop. XIV.— 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... | |
| Edward Atkins - 1874 - 426 pages
...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. GEOMETRY. Angle in a semicircle is a right angle. At point A It is required... | |
| Edward Atkins - 1876 - 130 pages
...angles = i DBF + ^ DBE. .-. i DBE = ^ BCD. 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 line, and C the given rectilineal angle. It... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...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 angle at C the given rectilineal... | |
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