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 ## Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...PROPOSITION XXXIII. PROBLEM. On a given straight line to describe a segment of a circle capable of containing an angle equal to a given angle. Let AB be the given st. line, and C the given L . It is required to describe on AB a segment of a © which, shall contain... ## Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

...PROB. 8. About a given circle to circumscribe a triangle equiangular to a given triangle. PROB. 9. On a given straight line to describe a segment of a circle containing a given angle. PROB. io. From a given circle to cut off a segment containing THE CIRCLE... ## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 458 pages
...a triangle all meet in the same point, viz., the centre of the inscribed circle. PROBLEM 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 describe a segment of... ## Elementary geometrical drawing

Samuel H. Winter - 1878 - 132 pages
...circle with a radius of 1^ in., and then describe an equilateral and equiangular pentagon about it. 7. Describe a segment of a circle which shall contain an angle equal to one of the angles of an equilateral triangle. 9. Draw a straight line parallel and equal to any straight... ## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...Show that the point of section lies between the extremities of the line. 3. Upon a given straight line describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. An acute-angled triangle is inscribed in a circle, and the paper is folded along... ## Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...their centres being produced shall pass through the point of contact. 6. Upon a given straight line describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. If from any point without a circle lines be drawn touching it, the angle contained... ## An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...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 to the given angle... ## Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 pages
...other, and their sides about the equal angles reciprocally proportional, are equal to one another. 11. On a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Given the base of a triangle, the angle opposite... ## The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the alternate segment of the circle. Wherefore, if a straight line &c. QED PROPOSITION 33. PROBLEM, On a. given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal Let AB be the given straight line, and C the given... 