Barycentric calculus in euclidean and hyperbolic geometry a comparative introduction.

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...

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Bibliographic Details
Main Author Ungar, Abraham Albert
Format eBook Book
LanguageEnglish
Published New Jersey ; London World Scientific Publishing Co. Pte. Ltd 2010
World Scientific
WORLD SCIENTIFIC
World Scientific Publishing
Subjects
Calculus
Geometry, Hyperbolic
Geometry, Plane
Mathematical Physics
Mathematics
Pure Mathematics
Theoretical Physics
Triangle
Barycentric Calculus
Analogies with Classical Mechanics
Euclidean Geometry
Relativistic Center of Momentum
Hyperbolic Geometry
Triangle Excircles
Classical Center of Momentum
Barycentric Coordinates
Triangle Centers
Triangle Incircles
Analogies with Relativistic Mechanics
Online AccessGet full text
ISBN981430493X
9789814304931
DOI10.1142/7740

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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 centers in Euclidean geometry. As such, the book uncovers magnificent unifying notions that Euclidean and hyperbolic triangle centers share.
ISBN:981430493X
9789814304931
DOI:10.1142/7740