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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.
First lessons in Plane Geometry. Together with an application of them to the ... - Page 195
by Francis Joseph Grund - 1830 - 12 pages

## Proceedings of the Edinburgh Mathematical Society, Volumes 5-6

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,...

## A Text-book of Geometry

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...

## The Harpur Euclid: An Edition of Euclid's Elements

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...

## A Text-book of Geometry

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...

## Syllabus of Geometry

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...

## The Elements of Plane Geometry

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...

## Plane and Solid Geometry

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...

## Plane Geometry

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...