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...Agroupoid description for plane geometry william g faris september abstract the transformational approach to involves euclidean group of isometries a rather complicated three dimensional non commutativegroupwithtwoconnectedcomponents inthisapproach constructions often involve choosing particular element this move geometrical object from one location another may be described in various ways groupoid formulation give particularly simple kind which is directly note explains concept and its application aspect introduction teaching largely reects inuence euclid but fe lix klein introduced new perspective his erlangen program emphasis was on role symmetry groups relevant generated by transformations each compo nent transformation translation rotation about some point or reection line appears current school curricula under name book barker howe contains modern subject dodge presents numer ous examples use prove theorems generalizes article weinstein gives an extensive discussion groupoids the...