| Edinburgh Mathematical Society - Mathematics - 1887 - 312 pages
...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,... | |
| George Albert Wentworth - Geometry - 1888 - 274 pages
...sides 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.** E Let AB be the given line, and M the given angle. To describe a segment upon AB which shall contain... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...circles again, the chords joining the other points of section will be parallel. PROPOSITION 33. PROBLEM. **Upon a given straight line to describe a segment of a circle** containing an angle equal to a given rectilineal angle. Let AB be the given st. line, and C the given... | |
| George Albert Wentworth - Geometry - 1892 - 468 pages
...sides 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 - Geometry - 1896 - 68 pages
...given 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. In every proportion... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...and a chord is equal to the 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... | |
| George Albert Wentworth - Geometry - 1899 - 496 pages
...253 In like manner, we may prove EH tangent to the given O. QEF PROPOSITION XXXVIII. PROBLEM. 318. **Upon a given straight line, to describe a segment of a circle** in which a given angle may be inscribed. Let AB be the given line, and M the given angle. Construct... | |
| George Albert Wentworth - Geometry, Plane - 1899 - 272 pages
...253 In like manner, we may prove EH tangent to the given O. QEF PROPOSITION XXXVIII. PROBLEM. 318. **Upon a given straight line, to describe a segment of a circle** in which a gicen angle may le inscrtbed. Let AB be the given line, and M the given angle. Construct... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...chord from the middle point of either arc cut off by the chord are equal, 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. H Ją A/ E XB u D\ Let AB be the given st. line, and C the given angle.... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...circle in E, F, G, H, respectively ; prove that the chords EG, FH intersect at right angles. 8. On **a given straight line to 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... | |
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