Dans ce livre, Jean-Paul Gua de de Malves explore les usages de l'analyse de Descartes pour découvrir les propriétés et les affections des lignes géométriques de tous les ordres, sans l'usage du calcul différentiel. Il examine les différents types de lignes et les méthodes pour calculer leurs propriétés, ainsi que les implications de ces calculs pour les domaines liés à la géométrie.

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