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Higher Geometry - Mathematical & Statistical Sciences

Higher GeometryIntroductionBrief Historical Sketch Greeks (Thales, Euclid, Archimedes) Parallel Postulate Non-Euclidean Geometries Projective Geometry Revolution Axiomatics revisited Modern GeometriesModern Applications Computer Graphics Bio-medical Applications Modeling Cryptology and Coding Theory Euclid's DefinitionsFrom Book I of The Elements: A point is that which has no part A line is breadthless length The extremities of a line are points A straight line is a line which lies evenly with the points on SystemsVish (Vicious Circle) : Start with any word in a dictionary and continue to look up words used in the definition until some word gets repeated for the first time." Vish illustrates the important principle that any definition of a word must inevitably involve other words, which require further definitions.

Euclid's Definitions From Book I of The Elements: A point is that which has no part A line is breadthless length The extremities of a line are points A straight line is a …

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