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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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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 268 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...
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First book of mathematics

Hugo Reid - Mathematics - 1872 - 146 pages
...centre of a circle is always perpendicular to a tangent at the point of contact. Problem, 41. 169. On a given straight line to describe a segment of a circle containing an angle equal to a given angle. Let AB be the given straight line, and H the given angle....
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...chord joining the points of contact of parallel tangents is a diameter. PROPOSITION XXXIII. PROBLEM. On a given straight line to describe a segment of a circle capable of containing an angle equal to a given angle. M. Let AB be the given st. line, and C the given...
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Elements of geometry, containing the first two (third and fourth ..., Part 2

Euclides - 1872 - 102 pages
...QED PROPOSITION XXXIII. PROBLEM. On a given straight Una to describe a segment of a circle containing an angle equal to a given angle. Let AB be the given st . line, and C the given L . It is reqd. to describe on AB a segment of a which shall contain...
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Elementary Geometry

William Frothingham Bradbury - Geometry - 1873 - 138 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...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...the chord FG will coincide with the chord HK, and is .-. = it. PROBLEM D. On a given straight lint describe a segment of a circle -which shall contain an angle equal to a given rectilineal angle. ft 1 Let AB be the given straight line and Q the given / . It is required to describe...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...the angle C the given rectilineal angle. It is required to describe upon the given straight line AB, a segment of a circle, which shall contain an angle equal to the angle C. First. Let the angle C be a right angle. Construction. Bisect AB in F (I. 10) ; and from...
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Elements of Euclid [selections from book 1-6] adapted to modern methods in ...

Euclides - 1874 - 234 pages
...PROBLEM. (Euc. III. 33.) Upon a given strait/lit line to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given line; it is required to describe upon it a segment of a circle containing an angle equal to the given...
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Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875

Sir George Greenhill - Mathematics - 1876 - 318 pages
...constant. This circle is analogous to the nine-pointic circle of a triangle. 3. Upon a given straight line describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. Through a fixed point 0 any straight line OPQ is drawn cutting a fixed circle in...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 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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