## Introduction to geometrical transformations |

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### Contents

Introduction | 1 |

Limiting points Art 4 | 7 |

Definition Art 13 | 13 |

Copyright | |

7 other sections not shown

### Common terms and phrases

ABCD Article auxiliary circle auxiliary conic Brianchon's Theorem CA/CB center of inversion center of projection CHAPTER circle of inversion circles in Figure Circular Inversion coaxal circles coaxal family collinear complete quadrilateral concurrent concurrent lines configuration conic sections cross ratio curve dashed circle diagonals drawn dual elementary geometry ellipse Figure 21b Figure 3a fixed point following theorem four points given circle harmonic conjugate harmonic range Hence hexagon inscribed invariant inverse with respect limiting points line at infinity line segments method mutually inverse nonintersecting circles Note orthogonal parabola parallel lines Pascal and Brianchon Pascal's Theorem pencil perpendicular point at infinity point of tangency point with respect points lying points of intersection polar reciprocation poles and polars problem of Apollonius projective geometry proof prove radical axis radical center radii range of four rays Refer to Figure respect to circle right angle secant triangle variable point variable tangent vertices