College Geometry

An Introduction to the Modern Geometry of the Triangle and the Circle

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book College Geometry by Nathan Altshiller-Court, Dover Publications
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Author: Nathan Altshiller-Court ISBN: 9780486141374
Publisher: Dover Publications Publication: June 29, 2012
Imprint: Dover Publications Language: English
Author: Nathan Altshiller-Court
ISBN: 9780486141374
Publisher: Dover Publications
Publication: June 29, 2012
Imprint: Dover Publications
Language: English
Translated 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.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Translated 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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