Items related to Analytische Geometrie des Raumes

Analytische Geometrie des Raumes - Softcover

Maximilian Simon

 
9780267589708: Analytische Geometrie des Raumes

Synopsis

This book presents a comprehensive exploration of coordinate geometry in three dimensions. It demonstrates how a three-dimensional coordinate system (axes) is constructed through the intersection of three mutually perpendicular planes and explains the concepts of direction cosines and Plücker coordinates. The author discusses planes, lines, and the relationship between the two through duality principles. Theorems on points, planes, and lines are presented in detail using vector analysis and homogeneous coordinates. Also explored are conic sections as second-order surfaces and quadric surfaces, along with the use of polar coordinates to describe curves and surfaces in three dimensions. This book provides a thorough foundation for students and researchers in geometry and related fields.

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