Title: G?om?trie de Direction: Application des Coordonn?es Poly?driques; Propri?t? de Dix Points de l''Ellipso?de, de Neuf Points d''une Courbe Gauche du Quatri?me Ordre, de Huit Points d''une Cubique Gauche (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: French
ISBN 10: 0266709117
ISBN 13: 9780266709114
Binding: HRD
Condition: New
Weight: 980 grams

About this title

Synopsis

Explore des coordonn�es poly�driques et leurs applications en g�om�trie avanc�e.

Cette �tude pr�sente des propri�t�s cl�s d’ellipso�des, de courbes et de surfaces dans un cadre r��dit� et rigoureux.

Ce volume r�unit des m�thodes pour d�crire des points mobiles et fixes par des plans et des droites, avec des th�or�mes sur l’involution, les coniques et les surfaces du second ordre. Le lecteur gagnera une vue structur�e des relations entre diagonales, syst�mes conjugu�s et figures poly�driques, sans supposer de connaissances externes.

Parcours clair et technique, il adapte des r�sultats classiques � des configurations comme le t�tra�dre, le pentagone et l’hexagdre. L’ouvrage pr�sente des d�monstrations qui relient amplitudes g�om�triques et expressions alg�briques, utiles pour comprendre l’architecture des formes dans l’espace.

Des coordonn�es poly�driques appliqu�es � des points et plans fixes.
Des th�or�mes sur l’involution, les coniques et les surfaces du second ordre.
Des m�thodes pour d�terminer des centres, plans et hyperbolo�des via des rapports et �quations.
Une progression structur�e des principes jusqu’� des r�sultats conjugu�s et g�n�ralis�s.

Ideal pour les lecteurs de g�om�trie avanc�e et d’histoire des math�matiques, cherchant � comprendre des r�sultats classiques dans un cadre moderne.

"About this title" may belong to another edition of this title.

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