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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 311
by Charles Hutton - 1831
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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 - 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...
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Schultze and Sevenoak's Plane and Solid Geometry

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...
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Plane and Solid Geometry

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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Information Relative to the Appointment and Admission of Cadets to the ...

Military Academy, West Point - 1934 - 964 pages
...the expansion of ( rr'-rJ.'1 )' by the binomial theroem. and simplify * result. \rr ' 2. Prove that the angle formed by a tangent to a circle and a chord is measured by one-half Its int«rapŁK aro. 3. The sum of the ages of a father and his son is 100...
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Official Register of the Officers and Cadets

United States Military Academy - 1942 - 1016 pages
...expansion of ( -я— =vs )' by the Binomial Thereom. and simplify the result. Ч» 2 / 2. Prove that the angle formed by a tangent to a circle and a chord is measured by one-half its intercepted arc. 3. The sum of the ages of a father and his son is 100...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...determine the measure of each arc drawn, and then apply the theorem stating that the measure of an angle formed by a tangent to a circle and a chord drawn from the point of contact is equal to one-half the measure of its intercepted arc. *DBC is formed in just such a way, and its measure is...
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