| Euclides - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line ( AB) **to describe a segment of a circle which shall contain an angle equal to a given** rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the given line, and... | |
| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line (AB) **to describe a segment of a circle which shall contain an angle equal to a given** rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the given line, and... | |
| Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...lines 37 29. To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. On **a given straight line to describe a segment of a circle which shall contain** a given angle 40 31. To draw a line touching two given circles ..... 41 Properties of a system of two... | |
| Thomas Henry Eagles - 1885 - 404 pages
...lines 37 \ To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. On **a given straight line to describe a segment of a circle which shall contain** a given angle 40 31. To draw a line touching two given circles ..... 41 Properties of a system of two... | |
| Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...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 a circle...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... | |
| George Albert Wentworth - Geometry - 1888 - 272 pages
...sides produced. These three circles are called escribed circles. PROPOSITION XXXVIII. PROBLEM. 290. **Upon a given straight line, to describe a segment of a circle which shall contain** a given angle. E Let AB be the given line, and M the given angle. To describe a segment upon AB which... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 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... | |
| Isaac Hammond Morris - Geometry, Plane - 1890 - 440 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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...the circles again, the chords joining the other points of section will be parallel. 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 st. line, and C the given... | |
| 1894 - 786 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... | |
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