Geometry With a General Dot Product - WildTrig: Intro to Rational Trigonometry - N J Wildberger
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This course extends rational trigonometry to metrical geometry with a general dot product represented by an invertible symmetric 2x2 matrix. It develops corresponding notions of quadrance, perpendicularity, and spread, illustrated through a case where the unit circle appears as an ellipse.
Syllabus
Introduction
Bilinear quadratic form
Linear quadratic form
Spread between vectors
Examples
Taught by
Insights into Mathematics