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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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Eshbach's Handbook of Engineering Fundamentals

Ovid Wallace Eshbach, Byron D. Tapley - Technology & Engineering - 1990 - 2104 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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ST(P) Mathematics 4A Second Edition, Volume 4

L. Bostock, F. S. Chandler, A. Shepherd, Ewart Smith - Juvenile Nonfiction - 1992 - 394 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, Volume 11, Part 1

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 - Juvenile Nonfiction - 2002 - 244 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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Excel Revise HSC Maths Extension 1 in a Month

Lyn Baker - Juvenile Nonfiction - 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: AQA Higher

David Baker - General Certificate of Secondary Education - 2002 - 750 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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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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Key Maths GCSE: CCEA Higher

Mathematics - 2001 - 588 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-specialistPupils are told the simple results early...
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Excel HSC Maths Extension 1

S. K. Patel - Excel HSC. - 2005 - 302 pages
...w = 180°, then A, ß, С and D are concyclic. F.15 The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment (Figure 12). APT is a tangent, ¿CPT = ZPBC and ZßPA = ¿BCP. F. 16 Two tangents to a circle from...
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Connections Maths: Stage 5.3/5.2/5.1, Volume 10

Ajit Kalra, James Stamell - Juvenile Nonfiction - 2005 - 592 pages
...called the angle in the alternate segment. Property 4 The angle between a tangent and a chord drawn to the point of contact is equal to the angle in the alternate segment. Given: PTis a tangent to a circle with centre O. fiP is a chord and it subtends ¿BCPat the circumference....
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