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Geometria Euclidea

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Pars Raphaëlis Scholae Atheniensis, in quo depingitur mathematicus Graecus, fortasse Euclides aut Archimedes, qui circino constructionem geometricam facit

Geometria Euclidea[1] est systema mathematicum, quod Euclides Alexandrinus in libro suo de geometria, Elementis, descripsit. Modus Euclidis consistit in ponendis axiomatibus, ex quibus multa theoremata concludit. Conclusiones Euclidis, quamquam partim a prioribus mathematicis expositae, ab Euclide primum in uno amplo systemate logico ordinatae sunt. Elementa incipiunt geometriâ plani, quae systema axiomatica, inductio in demonstrationes mathematicas, etiamnunc in ludis docetur. Deinde procedit ad geometriam solidam trium dimensionum. Magna pars Elementorum continet propositiones, lingua geometrica explicatas, quae hodie partes algebrae et theoriae numerorum habentur.

Nexus interni

Notae[recensere | fontem recensere]

  1. Nova acta eruditorum anno MDCCLXII publicata (Lipsiae: 1762), p. 270.

Bibliographia[recensere | fontem recensere]

  • Ball, W.W. Rouse (1960). A Short Account of the History of Mathematics (4th ed. [Reprint. Original publication: London: Macmillan & Co., 1908] ed.). New York: Dover Publications. pp. 50–62. ISBN 0-486-20630-0 
  • Coxeter, H.S.M. (1961). Introduction to Geometry. New York: Wiley 
  • Eves, Howard (1963). A Survey of Geometry. Allyn and Bacon 
  • Heath, Thomas L. (1956). The Thirteen Books of Euclid's Elements (2nd ed. [Facsimile. Original publication: Cambridge University Press, 1925] ed.). New York: Dover Publications 
(3 vols.): ISBN 0-486-60088-2 (vol. 1), ISBN 0-486-60089-0 (vol. 2), ISBN 0-486-60090-4 (vol. 3).
  • Misner, Thorne, and Wheeler (1973). Gravitation. W.H. Freeman 
  • Mlodinow (2001). Euclid's Window. The Free Press 
  • Nagel, E.; Newman, J.R. (1958). Gödel's Proof. New York University Press 
  • Alfred Tarski (1951) A Decision Method for Elementary Algebra and Geometry. Univ. of California Press.

Nexus externi[recensere | fontem recensere]