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...In acta applicandae mathematicae vol projective geometry with cliord algebra david hestenes and renatus ziegler abstract projectivegeometryisformulatedinthelanguageofgeometricalgebra aunied mathematical language based on this closes the gap between algebraic synthetic approaches to facilitates connections rest of mathematics introduction despite its richness inuence nineteenth century has not been fully integrated into modern reason for unfortunate state aairs is be found certain incompatibilities method ordinary coordinate methods do meld well popular formalisms today however foundation a more ecient had already laid down by hermann grassmann though day that fact appreciated only few mathematicians point argued forcefully gian carlo rota his coworkers they claim s progressive regressive products are cornerstones an ideal calculus stating proving theorems invariant theory as from perspective launch telling critique contemporary formalism their main should modied accommodate product oer...