## College Geometry: An Introduction to the Modern Geometry of the Triangle and the CircleTranslated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and enlarged by the author in 1952. World-renowned writer and researcher Nathan Altshiller-Court (1881–1968) was a professor of mathematics at the University of Oklahoma for more than thirty years. His revised introduction to modern geometry offers today's students the benefits of his many years of teaching experience. The first part of the text stresses construction problems, proceeding to surveys of similitude and homothecy, properties of the triangle and the quadrilateral, and harmonic division. Subsequent chapters explore the geometry of the circle — including inverse points, orthogonals, coaxals, and the problem of Apollonius and triangle geometry, focusing on Lemoine and Brocard geometry, isogonal lines, Tucker circles, and the orthopole. Numerous exercises of varying degrees of difficulty appear throughout the text. |

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#### For math majors only!!

User Review - renniksdivad - Overstock.comI was expecting an introductory textbook for general useperhaps the description is too vague. After geometry and trig and calculus in high school through college I was looking for something to take up where high school geometry left offthis is way too advanced for the purpose. Read full review

### Contents

Geometric Constructions | 1 |

Similitude and Homothecy | 34 |

Properties op the Triangle | 53 |

Copyright | |

9 other sections not shown

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### Common terms and phrases

altitude antiparallel Apollonian circles bisects Brocard points center of similitude centroid chord circle of similitude circle passing circumcenter circumcircle circumdiameter circumradius coaxal pencil coincides concurrent Construct a triangle Corollary cyclic quadrilateral diagonals diameter distances draw a circle external Find the locus fixed point given angle given line given point given triangle hence the proposition homothecy homothetic incircle inradius inscribed internal bisector inverse points isogonal conjugate isosceles Lemoine point line joining line of centers median meets the sides nine-point center nine-point circle opposite sides orthic triangle orthocenter orthocentric group orthopole pairs of points parallel parallelogram pedal triangle perpendicular point of intersection point with respect points of contact polar problem radical axis radii radius required triangle ABC right triangle segment Show side BC Simson line square straight line subtends symmedian point symmetric tangent Theorem three circles triangle given triangle is equal tritangent centers variable triangle vertex vertices