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F. Borceux (2014)
An axiomatic approach to geometry
F. Borceux (2014)
An algebraic approach to geometry
[The study of arbitrary curves—not just conics—becomes possible during the 17th century, first via the consideration of polynomial equations. The development of differential calculus allows next the study of very general curves. We describe the first historical attempts for handling questions like the tangent to a curve, its length or its curvature. We pay a special attention to some curves, like the cycloid, which have played an important role in the development of these notions.]
Published: Aug 26, 2013
Keywords: Parametric Equation; Multiple Point; Parametric Representation; Differential Calculus; Normal Plane
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