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" To cut off a segment from a given circle which shall contain an angle equal to a given rectilineal angle. Let ABC be the given circle, and D the given rectilineal angle ; it is required to cut off a segment from the circle ABC that shall contain an angle... "
The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... - Side 82
av Isaac Sharpless - 1879 - 266 sider
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 sider
...be inscribed between them, lie in two lines at right angles to each other. 33. Draw two tangents to a given circle, which shall contain an angle equal to a given rectilineal angle. 34. Describe a circle with a given radius touching a given line, and so that the tangents drawn to...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 sider
...to the angle in the alternate segment AHB. XXXIV. — From a given circle to cut off a segment, to contain an angle equal to a given rectilineal angle....given rectilineal angle. It is required to cut off from ABC a segment to contain an angle equal to D. Draw EF touching ABC in B, and / at B, in BF, make...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 428 sider
...equal to the given angle CQEF, Proposition 34. — Prob1em. From a given circle to cut off" a segment which shall contain an angle equal to a given rectilineal...given rectilineal angle. It is required to cut off from the circle ABC a segment that shall contain an angle equal to the angle D. CONSTRUCTION. — Draw...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...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 given rectilineal angle. It is required to describe...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 sider
...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 upon AB a segment...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...equal to the given angle CQEF Proposition 34. — Problem. From a given circle to cut off a segment which shall contain an angle equal to a given rectilineal...given rectilineal angle. It is required to cut off from the circle ABC a segment that shall contain an angle equal to the angle D. CONSTRUCTION. — Draw...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 sider
..... .. 132 30. To bisect a given arc ; that is, to divide it into two equal parts. . . . . 132 34. To cut off a segment from a given circle which shall...contain an angle equal to a given rectilineal angle. . . . . . . . . . . . . 132 EUCLID.-BOOK IV. Prop. Page i. In a given circle to place a straight line...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...be inscribed between them, lie in two lines at right angles to each other. 33. Draw two tangents to a given circle, which shall contain an angle equal to a given rectilineal angle. 34. Describe a circle with a given radins touching a given line, and so that the tangents drawn to...
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Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875

Sir George Greenhill - 1876 - 318 sider
...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 P and Q, and upon...
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Elements of Plane Geometry, Del 1

Thomas Hunter - 1878 - 142 sider
...X., Cor. 1). Therefore the angle CEB is equal to the angle D (Ax. 1). PROPOSITION XVI.—PROBLEM. To cut off a segment from a given circle which shall contain an angle equal to a given angle. Draw the tangent FG. At the point of contact, B, make the angle EBG equal A to A {Prop. XIV.,...
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