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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. "
A Course of Mathematics: For the Use of Academies as Well as Private Tuition - Page 294
by Charles Hutton - 1812
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Plane Geometry

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...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 440 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...
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Exercises in Geometry

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...
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College Entrance Examination Papers in Plane Geometry

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...
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Schultze and Sevenoak's Plane and Solid Geometry

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...
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Schultze and Sevenoak's Plane Geometry

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...
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Schultze and Sevenoak's Plane and Solid Geometry

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...
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A History of Greek Mathematics, Volume 1

Sir Thomas Little Heath - Mathematics - 1921
...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...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 457 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...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 480 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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