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Lecture Notes on Geometry
Szabolcs Tengely
Contents
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Contents
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Front Matter
1
Introduction
2
Lines
Equations of lines
Exercises
Parallel and perpendicular lines
Exercises
3
Circles
Lines and circles
Exercises
Determining equation of a circle
Tangent to a circle
Exercises
Touching circles
Exercises
Common chord, common tangent
Exercises
Common tangents to two circles
Exercises
Angle properties of the circle
Exercises
Chords in circles
Exercises
4
Trigonometry
Exercises
Sine and cosine rules
Exercises
Applications I.
Exercises
Applications II.
Exercises
Concurrency and Collinearity
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Front Matter
1
Introduction
2
Lines
3
Circles
4
Trigonometry
