 | William James Milne - Geometry, Modern - 1899 - 258 pages
...QED 232. Cor. A right angle is measured by one half a semicircumference. Ex. 202. The angle between a tangent to a circle and a chord drawn from the point of contact is half the angle at the center subtended by that chord. Ex. 203. A line which is tangent to the inner... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...straight line from the point to the centre of the circle bisects the angle between them. § 194. (9) The angle formed by a tangent to a circle and a chord through its point of contact equals half the angle at the centre, subtended by the intercepted arc... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...tangent and a chord is equal to the angle inscribed in the opposite segment. 15. The angle between a tangent to a circle and a chord drawn from the point of contact is half the angle at the center subtended by that chord. 16. The tangent at the vertex of an inscribed... | |
 | Geometry, Plane - 1911 - 192 pages
...radius. 7. The sides of a triangle are AB= 13, BC= 14, CA = 15. Find the projection of AB upon BC. 8. An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc. Explain what is meant by the expression " measured by " as used... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...is measured by \ (AD -f- OB). HINT. Draw DB, and apply Prop. XIII. PROPOSITION XV. THEOREM 236. An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc. Given AB a tangent, and AC a chord in O 0. To prove Z CAB is... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...AED is measured by \ (AD + CB). HINT. Draw DB, and apply Prop. XIII. PROPOSITION XV. THEOREM 236. An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc. Given AB a tangent, and AC a chord in O 0. To prove Z CAB is... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...AED is measured by % (AD + CB). HINT. Draw DB, and apply Prop. XIII. PROPOSITION XV. THEOREM 236. An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc. Given AB a tangent, and AC a chord in O 0. To prove Z CAB is... | |
 | Sir Thomas Little Heath - Mathematics - 1921 - 482 pages
...semicircle or less than a semicircle. 32 proves that thr angle made by a tangent with a chord through the point of contact is equal to the angle in the alternate segment. 33, 34 are problems of constructing or cutting off a segment containing a given angle, and 25 constructs... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...AED is measured by \ (AD + OB). HINT. Draw DB, and apply Prop. XIII. PROPOSITION XV. THEOREM 236. An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc. Given AB a tangent, and AC a chord in O 0. To prove Z CAB is... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...In same diagram (Prop. XV) ZB = 40°, and BC = 100°. Find /.AED. PROPOSITION XVI. THEOREM 237. An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc. AB Given AB a tangent, and AC a chord in O 0. To prove Z CAB... | |
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The angle formed by a tangent to a circle, and a chord drawn from the point of contact, is equal to the angle in the alternate segment. 
