 | Franklin Ibach - Geometry - 1882 - 208 pages
...describe a circle. Then FED is the required O. (181) QEF PROBLEM XVIII. 236. 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 / F I /foslp \ 1 / NX \ I / ! X v » / ^fD c At B... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...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... | |
 | Thomas Henry Eagles - 1885 - 404 pages
...0KB (Euc. i. 5), „ AKE = „ AEK( „ ), „ AEK= „ OKB (Euc. i. 29), .: „ AKE = „ OBK, and therefore OKA is a straight line, ie the two circles...given angle (Fig. 29). Bisect AB in C and through C draw CO perpendicular to AB. (CO is of course a locus of the centre.) Make the angle OCD Flg.29.... | |
 | Thomas Henry Eagles - Conic sections - 1885 - 404 pages
...0KB (Euc. I. 5), „ AKE = „ AEK( „ ), „ AEK = „ 0KB (Euc. i. 29), .-. „ AKE= „ OBK, and therefore OKA is a straight line, ie the two circles...straight line AB to describe a segment of a circle whicJi shall contain a given angle (Fig. 29). Bisect AB in C and through C draw CO perpendicular to... | |
 | Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...is equal 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... | |
 | Euclides - 1885 - 340 pages
...is equal 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... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...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 shall contain... | |
 | George Albert Wentworth - Geometry - 1892 - 468 pages
...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
...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... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...angle inscribed in the opposite segment. Proposition 13O. Problem: 163. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. To describe a segment on AB such that any Z inscribed in it shall be equal to Z m. Construction. Draw... | |
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Upon a given straight line to describe a segment of a circle which shall contain a given angle. Let AB be the given straight line. 
