Barycentric calculus in Euclidian and hyperbolic geometry : a comparative introduction / Abraham Albert Ungar.

Format:

Book

Author/Creator:

Ungar, Abraham Albert.

Language:

English

Subjects (All):

Geometry, Analytic.

Calculus.

Geometry, Plane.

Geometry, Hyperbolic.

Physical Description:

1 online resource (300 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, N.J. : World Scientific, 2010.

Language Note:

English

Summary:

The word barycentric is derived from the Greek word barys (heavy), and refers to center of gravity. Barycentric calculus is a method of treating geometry by considering a point as the center of gravity of certain other points to which weights are ascribed. Hence, in particular, barycentric calculus provides excellent insight into triangle centers. This unique book on barycentric calculus in Euclidean and hyperbolic geometry provides an introduction to the fascinating and beautiful subject of novel triangle centers in hyperbolic geometry along with analogies they share with familiar triangle ce

Contents:

Contents; Preface; 1. Euclidean Barycentric Coordinates and the Classic Triangle Centers; 2. Gyrovector Spaces and Cartesian Models of Hyperbolic Geometry; 3. The Interplay of Einstein Addition and Vector Addition; 4. Hyperbolic Barycentric Coordinates and Hyperbolic Triangle Centers; 5. Hyperbolic Incircles and Excircles; 6. Hyperbolic Tetrahedra; 7. Comparative Patterns; Notation And Special Symbols; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613144539

9781283144537

1283144530

9789814304948

9814304948

OCLC:

741492844