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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
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...segment of the circle. (I. ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal anijle. Let AB be the given straight line, and the angle C the...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 pages
...half the line bisected, and of the square of the line made np of the half and the part produced. 6. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. 7. To inscribe a circle if! a given square,...
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A graduated course of elementary problems in Practical Plane Geometry, etc

John Lowres - 1870 - 130 pages
...the difference in area between two similar sectors as in the last problem. PROBLEM XXXVIII. — On a given straight line to describe a segment of a circle which shall contain a given rectilineal angle. А в = given line : с = given angle. Make the angle ABE equal to angle с. At...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 262 pages
...tangents to the given circle. 19. Corollary. The tangents AB, AD are equal (I. 50). PROBLEM XV. 20. 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. At B make the angle ABD equal to the given angle (5). Draw BC perpendicular...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...tangents to the given circle. 191 Corollary. The tangents AB, AD are equal (I. 50). PROBLEM XV. 201 Upon a given straight line to describe a segment of a circle lohich shall contain a given angle. Let AB be the given straight line. At B make the angle ABD equal...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1873 - 132 pages
...tangents to the given circle. 19f Corollary. The tangents AB, AD are equal (I. 50). PROBLEM XV. 20t 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. At B make the angle ABD equal to the given angle (5). Draw BC perpendicular...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...therefore the remaining angle DBE is equal to BCD in BDC, the alternate segment of the circle. XXXIII. — Upon a given straight line to describe a segment of a circle, to contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...segment of the circle (I. Ax. 2). Wherefore, if a straight line, &c. QED PROPOSITION 33. — Problem. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle C the...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...segment of the circle (Ax. 3). = t BCD. Therefore, the angles, &c. QED 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 straight Ijne, and, C the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...segment of the circle. (I. ax. 2. Wherefore, if a straight line, &c. QED PROPOSITION XXXin. PROBLEM. Upon a given straight line to describe a segment of a circle, which that! contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the...
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