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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. "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 144
by Francis Joseph Grund - 1834 - 190 pages
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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...
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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...
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Syllabus of Geometry

George Albert Wentworth - Mathematics - 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...
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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...
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 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...
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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...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, 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....
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 582 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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Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 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...
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Examination Papers

University of Toronto - 1901 - 1190 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....
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