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. A New Text, Based ... - Page 119
by Euclides - 1853 ## Proceedings of the Edinburgh Mathematical Society, Volumes 5-6

Edinburgh Mathematical Society - Mathematics - 1887 - 312 pages
...AOG equal to the angle DFE ; and join AG. AG is the tangent required. 14-15. Euclid III. 25, 34. 16. On a given straight line to describe a segment of...which shall contain an angle' equal to a given angle. Euclid III. 33. See figure 28. Let AB be the given straight line, C the given angle. With the given... ## The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

Association for the Improvement of Geometrical Teaching - Euclid's Elements - 1888 - 208 pages
...Ex. 91. Draw a tangent at a given point on a given circle without first finding the centre. PROS. 3. On a given straight line to describe a segment of a circle containing a given angle. Make the angle BAD equal to the given angle C ; I. Prob. 5. from A draw a... ## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...angles PAQ, PBQ is another segment of a circle on the same chord AB. 7. Upon a given straight line describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 8. Describe a circle about a given triangle. Show that, if the centre of the circle... ## Practical Plane and Solid Geometry, Including Graphic Arithmetic

Isaac Hammond Morris - Geometry, Plane - 1890 - 430 pages
...isosceles triangle has a base of lJ" and a vertical angle of 42°. Construct it by using Problem Пa. 5. Describe a segment of a circle which shall contain an angle equal to the angle of an equilateral triangle. (Prob. 47.) в. Construct an isosceles triangle with its equal... ## Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...two rt. A s, AA = SPQ + TPQ. AA And it has been shown that SPQ = A. AA Proposition 33. PROBLEM — On a given straight line to describe a segment of a circle containing an angle equal to a given angle. If the given A is right, a semi O on the given line will... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...by the chord are equal. PROPOSITION 33. PROBLEM. On a given straigM line to describe a segment of n circle which shall contain an angle equal to a given angle. Let AB be the given st. line, and C the given angle: it is required to describe on AB a segment of a circle which shall... ## Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...To bisect a given arc of a circle. The construction may be effected by 2R, + R2 + 20, + 2C2 III. 33. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. The construction may be effected by III. 34. From a given... ## Examinations Papers

1894 - 788 pages
...zur Thüre. — GOETHE. PURE MATHEMATICS.— PART I. The Board of Examiners. On a given straight line describe a segment of a circle which shall contain an angle equal to a given angle. Construct a triangle, having given the base, the vertical angle, and the altitude. ' If a straight... ## Syllabus of Geometry

George Albert Wentworth - Geometry - 1896 - 68 pages
...point, to draw a tangent to a given circle. 288. To inscribe a circle in a given triangle. 290. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. 291. To find the ratio of two commensurable straight lines. BOOK III. PROPORTION. 295.... 