 | Franklin Ibach - Geometry - 1882 - 208 pages
...a radius, describe a circle. Then FED is the required O. (181) QEF PROBLEM XVIII. 23.6. On a given straight line, to describe a segment of a circle which shall contain a given angle. Let AB be the given line, and a the given Z. . _E '"" /Л"""4ч^ /' /*\ \ / / \ \ / / \ \ / / F \ \ At... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...describe a circle about a given triangle. 23. To describe a circle about a given rectangle. 24. On a given line, to describe a segment of a circle which shall contain a given angle. The given line is LS, and the given angle is V. Construct the angle SLD equal to V. Erect a perpendicular... | |
 | Euclides - 1884 - 434 pages
...proposition is a particular case either of III. 21, or of III. 22, Cor. PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line, LC the given angle : it is required... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...given circle, to touch a given line and to pass through a given point 89 PKOBLEM 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 or more... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...OKA is a straight line, ie the two circles will touch at K. PROBLEM 30. On a given straight line AB to describe a segment of a circle which shall contain a given angle (Fig. 29). Bisect AB in C and through G draw CO perpendicular to AB. (GO is of course a locus of the... | |
 | Thomas Henry Eagles - 1885 - 404 pages
...OKA is a straight line, ie the two circles will touch at K. PROBLEM 30. On a given straight line AB to describe a segment of a circle which shall contain a given angle (Fig. 29). Bisect AB in C and through C draw CO perpendicular to AB. (CO is of course a locus of the... | |
 | Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...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,... | |
 | George Albert Wentworth - Geometry, Analytic - 1889 - 264 pages
...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. Let AB be the given line, and M the given angle. To describe a segment upon AB which shall contain Z M.... | |
 | George Albert Wentworth - Geometry - 1892 - 468 pages
...produced. These three circles are called escribed circles. PBOPOBITION XXXVIII. PROBLEM. 290. Upon a given straight line, to describe a segment of a circle which shall contain a given anjle. .,E Let AH be the given line, and M the given angle. To describe a segment upon AB which shall... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...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. In every proportion... | |
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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. 
