Bases de la géométrie plane DM 3ème Mathématiques


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  • Qui est le père de la géométrie plane ?

    Euclide est un grand mathématicien de l'Antiquité et il est souvent appelé le père de la Géométrie.

  • Quels sont les éléments constitutifs d'un plan en géométrie ?

    En géométrie classique, un plan est une surface plate illimitée, munie de notions d'alignement, d'angle et de distance, et dans laquelle peuvent s'inscrire des points, droites, cercles et autres figures planes usuelles.

  • Quels sont les types de géométrie ?

    Un vaste champ, qui se compose notamment de :

    La géométrie différentielle,La géométrie algébrique,La géométrie complexe,La géométrie non commutative,La géométrie non euclidienne,La géométrie arithmétique,La géométrie symplectique et la géométrie de contact,La géométrie riemannienne.

  • Propriété : Si un quadrilatère possède trois angles droits, alors c'est un rectangle.
    Propriété : Si un parallélogramme possède un angle droit, alors c'est un rectangle.
    Propriété : Si un parallélogramme possède des diagonales de même longueur, alors c'est un rectangle .
Figures. Les premières figures de la géométrie plane sont le point, la droite et le cercle. L'utilisation de segments permet d'introduire les triangles, quadrilatères et autres polygones. Des problèmes de lieu géométrique mènent à la définition de courbes planes diverses comme les coniques.
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