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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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...The angle of a segment is that which is contained by the straight line and the circumference. VIII. 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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...The angle of a segment is that which is contained by the straight line and the circumference." VIII. 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 First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...all straight lines meeting it in that plane. 2. The inclination of two planes which meet one another is the angle contained by two straight lines drawn from any point of their common section at right angles to it, one upon each plane.* 3. If that angle be a right angle,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...the circle. And any straight line which meets the circle in two points, is called a secant. 62 -6. 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, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...The angle of a segment is that which is contained by the straight line and the circumference. vni. 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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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - Geometry - 1846 - 206 pages
...having its vertex in the circumference. An angle if inscribed in a segment is one made by 2 chords drawn from any point in the arc of the segment to the extremities of its chord or base. An inscribed angle ACB, (fig. 102,) has for its measure half of the arc AB intercepted...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...finally, the two circumferences may intersect. 52. 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. Thus A and D are both angles in the segment BADC. They are also called...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...The angle of a segment, is that which is contained by the straight line and the circumference. VIII. 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 first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...The angle of a segment is that which is- contained by the straight line and the circumference." Tin. 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 Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...of their radii, there can be neither contact nor intersection. P. 55, Cor. 1.—An angle inscribed 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 chord, which is the base of the segment. P....
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