Analytic Geometry

John Wiley & sons, Incorporated, 1916 - Geometry, Analytic - 197 pages

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Contents

 CHAPTER 1 Equations 3 Equations in one variable 5 Factors and roots 7 Approximate solution of equations 9 Inequalities H 7 Simultaneous equations 12 Special cases 14 Undetermined coefficients 16
 Symmetry 93 Infinite values 95 Direction of the curve 96 Sine curves 99 Periodic functions 102 Exponential and logarithmic curves 104 Empirical equations 107 CHAPTER 6 113

 Functions 18 CHAPTER 2 23 Segments 26 Projection 27 Distance between two points 29 Vectors 32 Multiple of a vector 35 Addition and subtraction of vectors 36 Slope of a line 39 Graphs 43 Equation of a locus 47 Point on a locus 49 Tangent curves 51 CHAPTER 3 54 First degree equation 57 The expression Ax + By + C 60 Aht Paob 26 Distance from a point to a line 61 Equation of a circle 64 Circle determined by three conditions 66 CHAPTER 4 70 The ellipse in other positions 71 The parabola 74 The hyperbola 77 The rectangular hyperbola 80 The second degree equation 83 Locus problems 87 CHAPTER 5 90 Real and imaginary coordinates 92
 Change of coordinates 116 Straight line and circle 117 Graphing equations 121 Intersections of curves 124 Locus problems 127 CHAPTER 7 130 Locus of parametric equations 132 Parametric from coordinate equations 135 Locus problems 138 CHAPTER 8 142 Rotation of the axes 144 Invariants 145 General equation of the second degree 146 CHAPTER 9 150 Projection 151 Distance between two points 154 Vectors 155 Direction of a line 156 The angle between two directed lines 158 Cylindrical and spherical coordinates 160 CHAPTER 10 163 Equation of a sphere 167 Surface of revolution 168 Graph of an equation 170 CHAPTER 11 176 Curves 178 Parametric equations 180 Copyright