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" AB describe a segment of a circle containing an angle equal to the given angle, (in. "
Constructive geometry of plane curves - Side 287
av Thomas Henry Eagles - 1885
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 sider
...adjacent to the given angle ; to construct the triangle. Let AB be equal to the given side. Upon it describe a segment of a circle containing an angle equal to the given angle. Bisect AB in C; and from C draw to the circumference, a line CD such that the difference...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 sider
...adjacent to the given angle ; to construct the triangle. Let AB be equal to the given side. Upon it describe a segment of a circle containing an .angle equal to the given angle. Bisect AB in C; and from C draw to the circumference, a line CD such that the difference...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 542 sider
...and the sum of the mean and the other extreme be given ; on AU, the sum of the three, describe the segment of a circle containing an angle equal to the external angle of an equilateral triangle, and take AB equal to the given extreme ; draw BE, making AB E equal to...
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An Analytical System of Conic Sections: Designed for the Use of Students

Henry Parr Hamilton - 1834 - 272 sider
...give the geometrical construction. Draw any diameter Rr, meeting the hyperbola in R, r, and upon it describe a segment of a circle containing an angle equal to the given angle, and cutting the hyperbola in Q, draw QR, Qr, and, parallel to these, the semi-diameters...
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An Analytical System of Conic Sections: Designed for the Use of Students ...

Henry Parr Hamilton - 1834 - 240 sider
...give the geometrical construction. Draw any diameter Rr, meeting the hyperbola in R, r, and upon it describe a segment of a circle containing an angle equal to the given angle, and cutting the hyperbola in Q, draw QR, Qr, and, parallel to these, the semi-diameters...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...PROB. GIVEN the angles and diagonals of a parallelogram ; to construct it. On one of the diagonals describe a segment of a circle containing an angle equal to the given angle at either extremity of the other ; from the middle point of this diagonal as centre, with...
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Geometrical Propositions Demonstrated, Or, a Supplement to Euclid: Being a ...

William Desborough Cooley - 1840 - 106 sider
...triangle, of which the base, the ratio of the sides, and the vertical angle are given. On the given base AB describe a segment of a circle, containing an angle equal to the given vertical angle (m. Prop. 33). Complete the circle, and draw the diameter EC making right angles...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...of given length. Bisect PQ in R and on PR describe a rectangle equal to the given area ; also on PQ describe a segment of a circle containing an angle equal to the angle BAC, and let the arc of this segment cut the side of the rectangle opposite to PR in S. Join...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 sider
...PROB. — Given the angles and diagonals of a parallelogram ; to construct it. On one of the diagonals describe a segment of a circle containing an angle equal to the given angle at either extremity of the other ; from the middle point of this diagonal as centre, with...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ...

Euclid, Robert Potts - 1847 - 118 sider
...the. line AE equal to AC the shorter side is given. Hence the construction. 62. On the given base AB describe a segment of a circle containing an angle equal to the given angle, and through C the bisection of the base draw the diameter DE perpendicular to AB. Join...
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