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Geometrie der Lage: La géométrie de position
Paperback
Series: HR.Hors Collec.
Please select the version of book you would like to purchase.
ISBN10: 270566937X
ISBN13: 9782705669379
Publisher: Hermann
Published: Jul 28 2011
Pages: 430
Weight: 1.45
Height: 0.96 Width: 6.14 Depth: 9.21
Language: French
ISBN13: 9782705669379
Publisher: Hermann
Published: Jul 28 2011
Pages: 430
Weight: 1.45
Height: 0.96 Width: 6.14 Depth: 9.21
Language: French
Géométrie der Lage de von Staudt est une tentative d'exposer la géométrie pure sans faire appel à aucune notion de quantité. Cet ouvrage constitue donc une rupture avec les approches de Poncelet, Steiner ou Chasles. Par exemple, la notion de forme harmonique est définie de manière purement incidente. Le développement de von Staudt s'appuie sur l'étude des correspondantes projectives des formes fondamentales définies comme les transformations géométriques qui conservent l'harmonicité. Toutes les notions et théorèmes classiques (polarité, dualité, coniques, surface du second degré...) de la géométrie projective en découlent. De manière plus surprenante pour un lecteur contemporain des traités de géométrie projective, on trouvera aussi dans Geometrie der Lage une astucieuse et rigoureuse démonstration de la formule d'Euler.
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