This book draws together a wide variety of geometric information that will provide a sourcebook of facts, examples and proofs for students, academics, researchers and professional practitioners. It includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.

A unique handbook of the geometry associated with computer graphics Includes separate sections with formulae, examples and proofs, to provide everything the reader needs to understand the topic Includes supplementary material: sn.pub/extras

Inhalt

From the contents:

Geometry.- Lines, angles and trigonometry.- Circe.- Triangle.- Quadrilaterals.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and circles.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Examples.- Trigonometry.- Circe.- Triangle.- Quadrilateral.- Polygon.- Three-dimensional objects.- Coordinate systems.- Vectors.- Quaternions.- Transformations.- 2D Straight line.- Lines and a circle.- Second degree curves.- 3D Straight line.- The plane.- Line, plane and sphere.- 3D Triangle.- Parametric curves and patches.- Second-degree surfaces in standard form.- Proofs.- Glossary.