Analytic Analysis of LINES and CIRCLES
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Analytic Analysis of LINES and CIRCLES
Preparing book pages
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Entries
59
Chapter 1: Analytic Analysis of Lines
Theory
Page 9
The Coordinate Plane
Theory
Page 10
Analytic Analysis of Points
Theory
Page 10
Analytic Analysis of Triangles
Theory
Page 23
Exercises 1.1
Problem
Page 28
Analytic Analysis of Lines
Theory
Page 30
Trigonometric Ratios of Angles
Theory
Page 30
Slope of a Line
Theory
Page 33
Equation of a Line
Theory
Page 40
Finding the Slope of a Line with a Given Equation
Theory
Page 54
Relative Position of Two Lines
Theory
Page 57
First Degree Inequalities in Two Unknowns
Theory
Page 63
Bunch of Lines (Optional)
Theory
Page 65
Exercises 1.2
Problem
Page 68
Further Applications
Theory
Page 75
Angles Between Two Lines
Theory
Page 75
Distance from a Point to a Line
Theory
Page 77
Distance Between Two Parallel Lines
Theory
Page 79
Equations of Angle Bisectors
Theory
Page 81
Exercises 1.3
Problem
Page 84
Symmetry
Theory
Page 86
Symmetry of a Point
Theory
Page 86
Symmetry of a Line (Optional)
Theory
Page 91
Exercises 1.4
Problem
Page 96
Chapter Summary
Other
Page 98
Concept Check
Test
Page 99
Chapter Review Test 1A
Test
Page 100
Chapter Review Test 1B
Test
Page 102
Chapter Review Test 1C
Test
Page 104
Chapter 2: Analytic Analysis of Circles
Theory
Page 106
Equation of a Circle
Theory
Page 107
Standard Equation of a Circle
Theory
Page 107
General Equation of a Circle
Theory
Page 114
Exercises 2.1
Problem
Page 121
Positions of Lines and Circles
Theory
Page 123
Relative Position of a Line and a Circle
Theory
Page 123
Equations of Tangent and Normal Lines
Theory
Page 127
Relative Position of Two Circles
Theory
Page 134
Exercises 2.2
Problem
Page 138
Power of a Point, Radical Axis, and Radical Center
Theory
Page 140
Power of a Point
Theory
Page 140
Radical Axis of Two Circles
Theory
Page 144
Radical Center of Three Circles
Theory
Page 147
Exercises 2.3
Problem
Page 149
Further Applications on Circles (Optional)
Theory
Page 151
Parametric Equations of a Circle
Theory
Page 151
Equation of a Semi-Circle
Theory
Page 153
Inequalities Involving Circles
Theory
Page 155
Family of Circles
Theory
Page 157
Puzzle
Problem
Page 160
Exercises 2.4
Problem
Page 161
Chapter Summary
Other
Page 163
Concept Check
Test
Page 163
Chapter Review Test 2A
Test
Page 164
Chapter Review Test 2B
Test
Page 166
Chapter Review Test 2C
Test
Page 168
Answers to Exercises
Answer
Page 170
Answers to Tests
Answer
Page 174
Glossary
Other
Page 175
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