 | Education, Higher - 1882 - 498 pages
...centres being produced will pass through that point of contact. 10. Upou a given straight line describe a segment of a circle which shall contain an angle equal to a rectilineal angle. 11. From a given point without two indefinite straight lines given in position which... | |
 | Euclides - 1885 - 340 pages
...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
...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... | |
 | Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...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... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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
...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 - 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... | |
 | 1894 - 786 pages
...— 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... | |
 | 1897 - 674 pages
...(In the proof of this, you are not to use any proposition beyond the first book). 7. On a given line, construct a segment of a circle which shall contain an angle equal to a given angle. 8. From a point P outside a circle a line is drawn cutting the circle in X and Y, and another meeting... | |
 | Thomas Jay Evans, W. W. F. Pullen (Wh.Sc., A.M.I.C.E.) - Geometry, Plane - 1897 - 420 pages
...will contain an angle, QDR, equal to the angle adc. Hence, the locus of D is a circle.' Describe on QR a segment of a circle which shall contain an angle equal to adc = 40°. Similarly, the locus of A is the circle QAP, whose segment, QAP, contains an angle equal... | |
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Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 
