Rethinking geometrical exactness

DOI10.1016/j.hm.2010.09.001zbMath1225.01024OpenAlexW1977054337MaRDI QIDQ618040

Marco Panza

Publication date: 14 January 2011

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.hm.2010.09.001

zbMATH Keywords

constructionsDescartes' geometryEuclidean plane geometry

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Geometric constructions in real or complex geometry (51M15) History of mathematics in the 17th century (01A45) History of geometry (51-03)

Related Items (9)

Operationalism: an interpretation of the philosophy of ancient Greek geometry ⋮ The twofold role of diagrams in Euclid's plane geometry ⋮ The debate between Peletier and Clavius on superposition ⋮ Logic of imagination. Echoes of Cartesian epistemology in contemporary philosophy of mathematics and beyond ⋮ One String Attached: Geometrical Exactness in Leibniz’s Parisian Manuscripts ⋮ Bridging the gap between analytic and synthetic geometry: Hilbert's axiomatic approach ⋮ A relationship between the tractrix and logarithmic curves with mechanical applications ⋮ A Geometrical Constructive Approach to Infinitesimal Analysis: Epistemological Potential and Boundaries of Tractional Motion ⋮ Constructibility and Geometry

Cites Work

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• Descartes and the cylindrical helix
• Shifting the foundations: Descartes's transformation of ancient geometry
• The concept of existence and the role of constructions in Euclid's \textit{Elements}
• The Algebra of Geometric Impossibility: Descartes and Montucla on the Impossibility of the Duplication of the Cube and the Trisection of the Angle

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