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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 Geometry and Trigonometry - Page 96
by William Frothingham Bradbury - 1872 - 238 pages
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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 J± 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 - 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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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 given angle. Let AB be the given straight line, and M the given angle. It is required to describe a segment on the line AB which shall contain the...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...inscribed in the segment ADB. PROPOSITION XIV 199. On a given line-segment as chord, to construct an arc of a circle which shall contain a given angle. Let AB be the given line-segment, and C the given angle. Tt ic rftnnirAil tn r»nnafT»nf>t: nn AR an arp nf d r>iiv»lo...
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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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Annual Reports of the War Department, Volume 4

United States. War Department - 1903 - 446 pages
...the angles opposite are unequal, and the greater angle is opposite the greater side. 3. Problem. — Upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed. 3. Theorem. — If in a right triangle a perpendicular is...
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Annual Reports of the Secretary of War, Volume 4

United States. War Department - 1903 - 438 pages
...the angles opposite are unequal, and the greater angle is opposite the greater side. 2. Problem. — Upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed. 8. Theorem. — If in a right triangle a perpendicular is...
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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
...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. HH D\ Let AB be the given st. line, and C the given angle. It is required...
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