 | David Allan Low - Geometrical drawing - 1912 - 468 pages
...triangle ABD is the triangle required. * C/-i ' \ r ,' FIG. 48. OH a given line AB(Flgs. 42 and 43) to describe a segment of a circle which shall contain an angle equal to a given angle C. Draw AD, making the angle DAB equal to the angle C. Draw AO at right angles... | |
 | Indiana. Department of Public Instruction - Education - 1915 - 658 pages
...equilateral triangle with side u is inscribed in a circle, find radius of the circle in terms of a. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. Trove. The sides of a right triangle arc as n :):.". The altitude upon (he hypotenuse... | |
 | Education - 1972 - 646 pages
...describe a circle (IV.5); (2) about the trapezium drawn as in problem 9, above, to describe a circle; (3) on a given straight line to describe a segment of a circle similar to a given one (cf. III. 33). Hippocrates would not have known the general theory of proportion... | |
 | Edinburgh Mathematical Society - Electronic journals - 1887 - 162 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 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... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1852 - 192 pages
...straight line. 2. To describe a square which shall be equal to a given rectilineal figure. 3. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. 289. D SECTION SECTION II. Solve one of the following equations:... | |
 | Cowley Oxon, dioc. school - 1860 - 318 pages
...equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. 12. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. ^---i" EUCLID I. II. Examiner.— REV. SW WAYTE. 1. Define line,... | |
 | Edinburgh Mathematical Society - Electronic journals - 1894 - 168 pages
...effected by III. 30. To bisect a given arc of a circle. The construction may be effected by III. 33. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. 61^ + 311»+ 180, +90, The construction may be effected... | |
 | Euclid - 452 pages
...drawing the common tangent at the point of contact and using this proposition, m. 32. PROPOSITION 33. i On a given straight line to describe a segment of a circle admitting an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle... | |
 | Military Academy, West Point - 906 pages
...the angles A and B. wt. 12 Theorem : The altitudes of a triangle meet In a point. 10 Problem : Upon a given straight line to describe a segment of a circle which »hull contain a given angle. 1O Problem : Through a given point without a given circle to draw a secant... | |
 | Euclid - 1845 - 336 pages
...^KPR = ^B and LHPQ=LC; show that the triangles PQR, ABC are equiangular to one another. 151. PROP. 6. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. O/ '0 P) On the given straight line AB, to describe a segment... | |
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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. 
