| 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, 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... | |
| 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... | |
| 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... | |
| Edward Brooks - 1901 - 278 pages
...XII.) ; therefore the circle will be inscribed in the triangle. QEF PROPOSITION XVIII. — PROBLEM. **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, and M the given angle. It is required to describe a segment on the... | |
| University of Toronto - 1901 - 1192 pages
...by the whole line and one part shall be equal to the square on the other part. (Eue. II, 11.) 2. On **a given straight line to describe a segment of a circle which shall contain** an angle equal to a given angle. (Eue. Ill, 88.) 3. To circumscribe a square about a given circle.... | |
| |