Abstract
During the 17th century, Fermat and Descartes start using coordinates and equations to solve and investigate geometrical problems. This is the origin of analytical geometry. We illustrate this new approach of geometry by the study conics and quadrics in the two- and three-dimensional real spaces.
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References and Further Reading
F. Borceux, An Axiomatic Approach to Geometry, Geometric Trilogy I (Springer, Berlin, 2014)
F. Borceux, A Differential Approach to Geometry, Geometric Trilogy III (Springer, Berlin, 2014)
H.J.M. Bos, Redefining Geometrical Exactness; Descartes’ Transformation of the Early Modern Concept of Construction (Springer, Berlin, 2001)
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© 2014 Springer International Publishing Switzerland
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Borceux, F. (2014). The Birth of Analytic Geometry. In: An Algebraic Approach to Geometry. Springer, Cham. https://doi.org/10.1007/978-3-319-01733-4_1
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DOI: https://doi.org/10.1007/978-3-319-01733-4_1
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01732-7
Online ISBN: 978-3-319-01733-4
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