Analytic Geometry and the Continuum - Math History - NJ Wildberger
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This short lecture examines the historical development of Cartesian geometry by Descartes and Fermat as a computational approach to Euclidean geometry. It connects conics and cubics with questions about the continuum, irrational numbers, decimal expansions, and continued-fraction approximations of pi.
Syllabus
Introduction
Negative numbers
Euclids rationals
Periodic continued fractions
Summary
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Insights into Mathematics