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" 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. "
The school Euclid: comprising the first four books, by A.K. Isbister - Seite 77
von Euclides - 1862
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 Seiten
...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 Seiten
...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 point in the arc of the segment, to the extremities of the straight line which is the base of the segment. IX. An...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 302 Seiten
...intersection. P. 55, Cor. 1. — An.angle inscribed in a segment is the angle contained by two •traight lines drawn from any point in the circumference of the segment to the extremities of the chord, which is the base of the segment. P. 63, Prop. VIII. — Every right-angled parallelogram, or...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...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...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...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...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 segment. PROPOSITIONS....
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...segment of a circle is the figure contained by a straight line, and the circumference which it cuts 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...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...of a circle is the figure contained by a straight line and the circumference which it cuts off. 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...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 Seiten
...segment; join BK. TheniARB is < L AKB, and .-. < Q: but it is also = it; which is impossible. DEFINITION. The angle Of a segment is that which is contained by the base of the segment and the tangent at one extremity. THEOREM (g). Assuming the tangent to be the limiting...
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Primer of geometry

Francis Cuthbertson (geometer.) - 1876 - 102 Seiten
...circumference and the straight line joining its 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...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...of a circle is the figura contained by a straight line and the circumference which it cuts off. 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...
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