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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 - Side 312
av Charles Hutton - 1825
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ST(P) Mathematics 4A Second Edition, Volum 4

L. Bostock, F. S. Chandler, A. Shepherd, Ewart Smith - 1992 - 394 sider
...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, Volum 11,Del 1

L. Bostock - 1998 - 420 sider
...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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Keys Maths: AQA (Modular) Specification B

David Baker - 2002 - 580 sider
...:¿¿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: AQA Higher

David Baker - 2002 - 750 sider
...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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Excel Revise HSC Maths Extension 1 in a Month

Lyn Baker - 2002 - 154 sider
...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.. Edexcel summary and practice

Paul Hogan, Barbara Job, Diane Morley - 2002 - 244 sider
...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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Key Maths GCSE: CCEA Higher

2001 - 588 sider
...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 - 2005 - 302 sider
...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, Volum 10

Ajit Kalra, James Stamell - 2005 - 592 sider
...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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A Treatise on Practical Mensuration

Anthony Nesbit - 1859 - 482 sider
...circumference, if both stand on the same base. 11. Any angle in a semicircle is a right angle. 12. The angle formed by a tangent to a circle, and a chord...contact, is equal to the angle in the alternate segment. 13. The sum of any two opposite angles of a quadrangle, inscribed in a circle, is equal to two right...
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