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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. "
The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text, Based ... - Page 119
by Euclides - 1853
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A Treatise on Practical Plane and Solid Geometry: Containing Solutions to ...

Thomas Jay Evans, William Wade Fitzherbert Pullen - Geometry, Plane - 1897 - 420 pages
...will contain an angle, QDR, equal to the angle adc. Hence, the locus of D is a circle.' Describe on QR a segment of a circle which shall contain an angle equal to adc = 40. Similarly, the locus of A is the circle QAP, whose segment, QAP, contains an angle equal...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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....
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...the 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...which shall contain an angle equal to a given angle. Construct a triangle having given the base, the vertical angle, and the sum of the remaining sides....
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...A/ E XB u D\ Let AB be the given st. line, and C the given angle. It is required to describe on AB a segment of a circle which shall contain an angle equal to C. Construction. At A in BA, make the L BAD equal to the L CI 23. From A draw AE at rt. angles to AD....
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Examination Papers

University of Toronto - 1901 - 1192 pages
...contained 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...which shall contain an angle equal to a given angle. (Eue. Ill, 88.) 3. To circumscribe a square about a given circle. (Eue. IV, 7.) 4. To circumscribe...
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Plane Geometry

Edward Brooks - 1901 - 278 pages
...; 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...
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Elementary Geometry: Plane

James McMahon - Geometry, Plane - 1903 - 380 pages
...APPLICATIONS OF THEOREM 28 77. PROBLEM 4. On a given line, to describe a segment of a circle containing an angle equal to a given angle. Let AB be the given line, and C the given angle. To describe on AB a segment of a circle containing an angle equal to C....
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...angle. HH D\ Let AB be the given st. line, and C the given angle. It is required to describe on AB a segment of a circle which shall contain an angle equal to C. Construction. At A in BA, make the L BAD equal to the LCI 23. From A draw AE at rt. angles to AD....
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...277 .-. PH and PK are tangents. 252 PLANE GEOMETRY — BOOK II PROPOSITION XXX. PROBLEM 304 Upon a given straight line, to describe a segment of a circle which shall contain a given angle. DATA. AB is a straight line, and K is a given angle. REQUIRED. To describe a segment...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...semicircle is a rt. Z." 277 .-. PH and PK are tangents. 252 PROPOSITION XXX. PROBLEM 304 Upon a given straight line, to describe a segment of a circle which shall contain a given angle. DATA. AB is a straight line, and K is a given angle. REQUIRED. To describe a segment...
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