Circles : a mathematical view / Dan Pedoe.

Format:

Book

Author/Creator:

Pedoe, Daniel, author.

Series:

MAA spectrum

Spectrum, 2638-9045 ; v. 12

Language:

English

Subjects (All):

Circle.

Physical Description:

1 online resource (xxxvii, 102 pages)

Edition:

[Rev. ed.].

Place of Publication:

[Washington, DC] : Mathematical Association of America, c1995.

System Details:

Mode of access : World Wide Web

Contents:

The nine-point circle Inversion Feuerbach's theorem Extension of Ptolemy's theorem Fermat's problem The centres of similitude of two circles Coaxal systems of circles Canonical form for coaxal system Further properties Problem of Apollonius Compass geometry Representation of a circle Euclidean three-space $E_3$ First properties of the representation Coaxal systems Deductions from the representation Conjugacy relations Circles cutting at a given angle Representation of inversion The envelope of a system Some further applications Some anallagmatic curves Complex numbers The Argand diagram Modulus and argument Circles as level curves The cross-ratio of four complex numbers Möbius transformations of the ${\frak s}$-plane A Möbius transformation dissected The group property Special transformations The fundamental theorem The Poincaré model The parallel axiom Non-Euclidean distance Steiner's enlarging process Existence of a solution Method of solution Area of a polygon Regular polygons Rectifiable curves Approximation by polygons Area enclosed by a curve

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

ISBN:

9781470457327 (online)

Access Restriction:

Restricted for use by site license.