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" To trace Railroad Curves by means of deflections. General Propositions. 1. The angle formed by a tangent and a chord is equal to half the angle at the centre of the circle, subtended by the chord. 2. The angle of deflection formed by any two equal chords... "
A Collection of Tables and FormulŠ Useful in Surveying, Geodesy, and ... - Page 26
by Thomas Jefferson Lee - 1853 - 242 pages
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A Treatise on Plane Surveying

Daniel Carhart - Surveying - 1888 - 498 pages
...from tangent, which is half the angle that two such equal chords will make with each other, and also half the angle at the centre of the circle subtended by the chord. From any point on the circular curve as a position of the instrument, successive deflections of the...
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A Treatise on Mine-surveying

Bennett Hooper Brough - Mine surveying - 1888 - 302 pages
...which the [ c angle is measured lies upon the arc, Fig. 79 as at E, it is the angle BEF = AEG that is equal to half the angle at the centre of the circle. When the point at which the angle is measured is one of the ends of the arc, as at A, it is the angle...
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A Treatise on Mine-surveying

Bennett Hooper Brough - Mine surveying - 1894 - 326 pages
...point at which the angle is measured is one of the ends of the arc, as at A, it is the angle DAB that is equal to half the angle at the centre of the circle, expressed by a formula, the angle at the circumference in minutes = ACB = FEB=> DAB = half the angle...
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Syllabus of Plane' Geometry: (corresponding to Euclid, Book I-VI) : Prepared ...

Cora Lenore Williams - Geometry - 1905 - 42 pages
...external point. Prop. 101. Tangents to a circle from the same external point are equal. Prop. 102. An angle formed by a tangent and a chord is equal to half the angle at the center standing on the intercepted arc. Prop. 103. An angle formed by two secants intersecting within...
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Treatise on Mine-surveying

Bennett Hooper Brough - Mina (Indic people) - 1906 - 368 pages
...at which the angle is measured lies upon the arc, as at E, it is the angle BEF = AEG Fig. 79. that is equal to half the angle at the centre of the circle. When the point at which the angle is measured is one of the ends of the arc, as at A, it is the angle...
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Plane Geometry

Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 276 pages
...To construct a tangent to a circle that shall pass through a given external point. Theorem XXIV. An angle formed by a tangent and a chord is equal to half the central angle standing on the intercepted arc. Corollary. Tangents to a circle from the same point...
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Roadmap to the Regents: Mathematics B

David S. Kahn, Princeton Review - Mathematics - 2003 - 303 pages
...From Rule #4, we know that ┐ A io░. If we solve for A, we get LA = 60░. Rule #5: The measure of an angle formed by a tangent and a chord is equal to half of the measure of its intercepted arc. Thus, in the figure below, angle A is equal to ┐ ┐ 100░ =...
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