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Géométrie de l'espace et du plan: Synthèse de cours. Exercices résolus
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ISBN10: 2705614249
ISBN13: 9782705614249
Publisher: Hermann
Pages: 404
Weight: 1.54
Height: 0.83 Width: 7.00 Depth: 10.00
Language: French
ISBN13: 9782705614249
Publisher: Hermann
Pages: 404
Weight: 1.54
Height: 0.83 Width: 7.00 Depth: 10.00
Language: French
Ce livre d'exercices envisage la géométrie plane comme un cas particulier de la géométrie de l'espace. Il est original et conforme aux programmes. Les exercices, gradués par niveau de difficulté, sont tous corrigés. Chaque chapitre comporte des rappels de cours concis et précis, sans démonstration. On trouvera ici des démonstrations de cinq grands problèmes de la géométrie. Ainsi, l'étude du solide de Poinsot, plus connu sous le nom de grand dodécaèdre, est présentée accompagnée de sa réalisation concrète; on trouve également le pentagramme mystique de Pythagore, l'icosaèdre, le nombre d'or, etc. Les propriétés du tétraèdre orthocentrique y sont également développées qui généralisent les propriétés rencontrées en géométrie du triangle.
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