InAperçuhistoriqueChaslesstudiedthemethodofreciprocalpolarsasanapplicationoftheprincipleofdualityinprojectivegeometry;inthesamewaytheprincipleofhomographyleadstoagreatnumberofpropertiesofquadricsurfaces.
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In Aperçu historique Chasles studied the method of reciprocal polars as an application of the principle of duality in projective geometry ; in the same way the principle of homography leads to a great number of properties of quadric surfaces .