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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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Key Maths: GCSE.. Higher

General Certificate of Secondary Education - 2003 - 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, , 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 ZPA = 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 - Mathematics - 2005 - 574 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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School Certificate Mathematics

Mathematics - 1965 - 40 pages
...alternate to L ABD and segment Fto LABC. TANGENT PROPEBTIES OF THE OIRCLE Theorem 21. Either angle between a tangent to a circle and a chord drawn from the point of contact is equal to any angle in the alternate segment. X PA Q Given. PAQ touches a circle, of which AB is a chord, at...
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An Introduction to Engineering Mathematics

...7,9,11 cm. long Fig. 151 206 180. Proposition 15. The angle made by a tangent to a circle with the chord drawn from the point of contact is equal to the angle in the alternate segment of the circle. Let AB be a tangent to the circle (in Fig. 152) at D. Let DE be a chord. Draw a diameter...
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Solutions of the Exercises in Tyler's Euclid

...that str. line ; .: they touch each other (Props. 11 and 12). 21 3, 7. Prove that the angle between a tangent to a circle and a chord drawn from the point of contact is half of the angle subtended at the centre by the chord. Let DE touch given QABC, whose centre is O,...
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