## Analytic geometry |

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### Contents

INEQUALITIES 1 The axioms of algebra | 1 |

Inequalities | 3 |

Proofs of the theorems in Section 2 | 11 |

Copyright | |

47 other sections not shown

### Common terms and phrases

analytic geometry angle asymptotes axioms axis calculus called Cartesian coordinate system Chapter circle Commutative law complete the square cos2 Cramer's rule cross product cylindrical defined definition denote determine directed line segments direction cosines direction numbers directrix distance domain Draw a figure eccentricity ellipse equal Example family of lines Find the equation foci focus formula function given point hyperbola intercepts length line passing linear inequalities linearly independent loci locus is symmetric midpoint multiply negative notation number plane obtain ordered pairs origin orthogonal parabola parallelogram parametric equations plane geometry plot point of intersection polar coordinates PROBLEMS In problems Proof Prove radius real numbers representative satisfy second degree Section shown in Fig shows sketched in Fig slope solution set solve straight line student Suppose symmetric with respect symmetry tangent line Theorem triangle values vertex vertices xy plane zero