Analytisch-geometrische Entwicklungen
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Julius Plücker was a German mathematician and physicist who made significant contributions to analytic and projective geometry. His work Analytisch-geometrische Entwicklungen introduced abridged notation and treated lines as fundamental geometric elements, leading to the principle of duality in projective geometry. He also developed the "Plücker formulas" relating singularities on algebraic curves to those of their dual curves. Plücker's System der analytischen Geometrie utilized linear functions instead of traditional coordinate systems. Analytic geometry itself is the study of geometric properties using algebraic operations defined by a coordinate system.12
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