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" angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment. "
Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856) - Page 96
edited by - 1854
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...The angle of a segment is that •which is contained by the straight line and the circumference. 8. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight line which is the base of the segment....
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...line ; this being premised, The angle contained by two planes which cut one .another is measured by the angle contained by two straight lines drawn from any point in the common intersection of the planes perpendicular to it, one in each of the planes. This angle may be...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...which is contained 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...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 part...
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A graduated course of elementary problems in Practical Plane Geometry, etc

John Lowres - 1870 - 130 pages
...figure contained by an arc and its chord, as AED or AH D. AN ANGLE IN A SEGMENT is that which is formed by two straight lines drawn from any point in the arc of the segment to the extremities of its chord, as the angle AID. A Sector of a circle is the figure contained by an arc, and two radii...
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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
...In fig. 1, L AOB is drawn a flat angle, and in fig. 2, / AOB is drawn a reflex angle. DBF. XII. The angle in a segment is the angle contained by two straight lines drawn from any point in the arc to the extremities of the chord. PROPOSITION XXI. THEOREM. The angles in the same segment of a circle...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...7. The angle of a segment is that which is contained by the straight line and the circumference. 8. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of I the segment to the extremities of the ' straight line, which is the base of the...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...double of / ^/T, and / ACY'\s double of / APY; .-, remaining / ^4Clff is double of / APB. DEFINITION. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities- of the straight line which is the base of the segment....
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...off. The angle of a segment is that which is contained by the straight line and the circumference. 8. An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment....
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 pages
...contained by a part of the circumference and the straight line joining its extremities, which is called the base of the segment. An angle in a segment is...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
...is contained by 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...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 part...
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