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College geometry : an introduction to the modern geometry of the triangle and the circle

Author: Nathan Altshiller-Court
Publisher: Mineola, N.Y. : Dover Publications, 2007.
Series: Dover books on mathematics.
Edition/Format:   Book : English : 2nd ed., rev. and enlarged, Dover edView all editions and formats
Database:WorldCat
Summary:
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,  Read more...
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Additional Physical Format: Online version:
Altshiller-Court, Nathan, b. 1881.
College geometry.
Mineola, N.Y. : Dover Publications, 2007
(OCoLC)707689077
Document Type: Book
All Authors / Contributors: Nathan Altshiller-Court
ISBN: 0486458059 9780486458052
OCLC Number: 78063045
Notes: Originally published: 2nd ed., rev. and enl. New York : Barnes & Noble, 1952.
Description: xix, 313 p. ; 22 cm.
Contents: Geometric constructions --
Similitude and homothecy --
Properties of the triangle --
The quadrilateral --
The Simson line --
Transversals --
Harmonic division --
Circles --
Recent geometry of the triangle.
Series Title: Dover books on mathematics.
Responsibility: Nathan Altshiller-Court.
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Abstract:

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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