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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 Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - Mechanical engineering - 1836 - 384 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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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...the point Q, is without the curve (III. 1, Cor. 2). PROPOSITION II. The straight line which bisects the angle, contained by two straight lines, drawn from any point in the hyperbola to the foci, is a tangent to the curve in that point. Let D be any point in the hyperbola...
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A Geometrical Treatise on the Conic Sections: With an Appendix, Containing ...

William Wallace - Conic sections - 1837 - 248 pages
...be placed one on another, so as entirely to coincide. PROPOSITION V. The straight line which bisects the angle contained by two straight lines drawn from any point in the hyperbola to the foci, is a tangent to the curve at that point. Let D be the point in the curve ; let...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 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.* 8. If that angle be a right angle,...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...extremities ; which straight line is called the chord of the arc, or the base of the segment. VII. An angle in a segment is the angle contained by two...extremities of the chord of the arc, or base of the segment. VIII. And an angle is said to insist or stand upon the arc intercepted between the straight lines that...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...A segment of a circle is the figure contained by a straight line, and the arc which it cuts off. 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 Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - Mechanical engineering - 1842 - 320 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. 63. An Angle at the circumference, is that whose angular point or summit...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...be perpendicular to each other, as AC, AB, the sector is called a quadrant. An angle in a segment is contained by two straight lines drawn from any point...in the arc of the segment to the extremities of the same arc. An angle on a segment or on an arc is contained by two straight lines drawn from the extremities...
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