Books Books Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 119
by Euclides - 1853 ## Certificate Examination

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... ## Journal of the Statistical Society of London, Volume 8

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... ## The Elements of Plane Geometry

Euclid - 1845 - 328 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... ## The Thirteen Books of Euclid's Elements

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... ## a gemoetry for schools

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°,... ## Proceedings of the Edinburgh Mathematical Society, Volume 12

Edinburgh Mathematical Society - Electronic journals - 1894 - 166 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... ## Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

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... 