| Edinburgh Mathematical Society - Mathematics - 1887 - 316 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| George Albert Wentworth - Mathematics - 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.... | |
| 1897 - 674 pages
...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... | |
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