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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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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«rap£K 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
...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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Eshbach's Handbook of Engineering Fundamentals

Ovid Wallace Eshbach, Byron D. Tapley - Technology & Engineering - 1990 - 2176 pages
...intercepted by it. Thus, in Fig. 2.14. ZBAC - J arc BC. An angle inscribed in a semicircle is a right angle. The angle formed by a tangent to a circle and a chord having one extremity at the point of contact equals half the arc intercepted by the chord. In Fig....
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S.T. (P) Mathematics: Book 4A, Volume 4

Linda Bostock, F. S. Chandler, A. Shepherd - 1992 - 392 pages
...A) => q' =9 But 'r is equal to any angle subtended by the chord TR, ie the angle between a tangent and a chord drawn from the point of contact is equal to any angle in the alternate segment. EXERCISE 11f In questions 1 to 4, copy the diagram and shade the...
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STP National Curriculum Mathematics

L. Bostock - Mathematics - 1998 - 420 pages
...external point to a circle are the same length. The angle between a tangent and a chord drawn through the point of contact is equal to the angle in the alternate segment. This result is called the alternate segment theorem. EXERCISE 3.5 1 Find the marked angles. a 2 Find...
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Key Maths: GCSE.. Edexcel summary and practice

Paul Hogan, Barbara Job, Diane Morley - General Certificate of Secondary Education - 1999 - 240 pages
...perpendicular to radius) So a = 90°- (90° -p) a=p b The angle between a tangent and a chord drawn to the point of contact is equal to the angle in the alternate segment. (Alternate Segment Theorem.) Exam questions 1 135° 2 (1) 9.6cm 3 8.25cm (2) 3 cm 3cm 3 cm / 6 Side,...
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Keys Maths: AQA (Modular) Specification B

David Baker - General Certificate of Secondary Education - 2002 - 580 pages
...:¿¿s not cross the segment with ) _____________ The angle between a tangent and a chord drawn to the point of contact is equal to the angle in the alternate segment. This is the last result that you need to learn from this section! Now you need to be able to use all...
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Excel Revise HSC Maths Extension 1 in a Month

Lyn Baker - Higher School Certificate Examination (N.S.W.) - 2002 - 154 pages
...tangents to a circle from an external point are equal • the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment • the square of the length of a tangent from an external point is equal to the product of the intercepts...
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Key Maths: GCSE.. Higher

David Baker - General Certificate of Secondary Education - 2001 - 748 pages
...circumference. The angle in a semi-circle is 90°. The angle between a tangent and a chord drawn to the point of contact is equal to the angle in the alternate segment Proofs of the circle theorems. Notes for the non-specialist: Pupils are told the simple results early...
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