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" An angle in a segment is any angle contained by two straight lines drawn from any point in the arc of the segment, to the extremities of the straight line which is the base of the segment. "
A graduated course of elementary problems in Practical Plane Geometry, etc - Page 3
by John Lowres - 1870
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...a straight line and a part of the circumference. VIII. An angle in a segment is any angle contained by two straight lines drawn from any point in the arc of the segment, to the extremities of the straight line which is the base of the segment. IX. An angle is said to insist or stand upon the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...by a straight line and a part of the circumference. vm. An angle in a segment is any angle contained by two straight lines drawn from any point in the arc of the segment, to the extremities of the straight line which is the base of the segment. IX. An angle is said to insist or stand upon the...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...is said to be farther from the centre. 61. An Angle in a Segment is that which is contained by two lines drawn from any point in the arc of the Segment to the two extremities of that arc. 62. An Angle on a segment or an arc is that which is contained by two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...by a straight line and a part of the circumference. VHL An angle in a segment is any angle contained by two straight lines drawn from any point in the arc of the segment, to the extremities of the straight line which is the base of the segment. IX. An angle is said to insist or stand upon the...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 pages
...extremities, which is called the base of the segment. An angle in a segment is the angle contained by two straight lines drawn from any point in the arc of the segment to the extremities of the base. PROPOSITION VI. The angle in a semicircle is a right angle. Let APB be an angle in the semicircle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...a straight line and a part of the circumference. VIIL An angle in & segment is any angle contained by two straight lines drawn from any point in the arc of the segment, to the extremities of the straight line which is the base of the segment. IX. An angle is said to insist or stand upon the...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...described about the polygon. 8. An angle is said to be inscribed in a segment when it is contained by two straight lines drawn from any point in the arc of the segment to the extremi/s ties of the subtending chord. Thus the anglea ACB, ADB are inscribed in the segment ADCB....
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 456 pages
...circumference, as ABC. The circle is then said to be described about the polygon. GEOMETRY. tained by two straight lines drawn from any point in the arc of the segment to the extremities of the subtending chord. Thus the angles ACB, ADB are inscribed in the segment ADCB. 9. A secant is a...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...chord must be placed either first or last. 12. An angle in a segment of a circle is the angle contained by two straight lines drawn from any point in the arc of the /{ segment to the ends of the chord. Thus ACB and ADB are angles in the segment ACB. 13. Similar segments of circles...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...vertex is at the centre O, is called the angle at the centre. 187. An angle in a segment is the angle formed by two straight lines drawn from any point in the arc of the segment to the extremities of the base of the segment, as , or ZADB. 188. A sector of a circle is the figure bounded by two radii...
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