 | Daniel Carhart - Surveying - 1888 - 536 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... | |
 | Bennett Hooper Brough - Mine surveying - 1888 - 366 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... | |
 | Bennett Hooper Brough - Mine surveying - 1894 - 390 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... | |
 | Cora Lenore Williams - Geometry - 1905 - 56 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... | |
 | Bennett Hooper Brough - Mina (Indic people) - 1906 - 470 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... | |
 | Astronomy - 1909 - 1064 pages
...angles which that chord makes with the two tangents to the circle at A and C are equal to each other and to half the angle at the centre of the circle subtended by the chord. Thus, in Fig. 5, A is an observer's position on the Earth's surface, and AD, a tangent to the circle... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 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... | |
 | Edith Long, William Charles Brenke - Geometry, Plane - 1916 - 292 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... | |
 | Samuel Wright Perrott, F. E. G. Badger - Railroad engineering - 1920 - 354 pages
...namely that between the tangent and first chord, that between the first and second chords, and so' on, is equal to half the angle at the centre of the circle, subtended by any one of the equal arcs. In setting out a railway curve these equal arcs, or their corresponding... | |
 | Samuel Wright Perrott, F. E. G. Badger - Railroad engineering - 1920 - 352 pages
...namely that between the tangent and first chord, that between the first and second chords, and so on, is equal to half the angle at the centre of the circle, subtended by any one of the equal arcs. In setting out a railway curve these equal arcs, or their corresponding... | |
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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... 
