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Title: Geometry over two Arbitrary Arithmetic Progressions
Authors: Stanilov, Grozio
Filipova, Liudmila
Keywords: Arithmetic Progression
Klein Geometry
Cross Product
Issue Date: 22-Nov-2010
Publisher: University Press "Paisii Hilendarski", Plovdiv
Abstract: We consider quadrate matrices with elements of the first row members of an arithmetic progression and of the second row members of other arithmetic progression. We prove the set of these matrices is a group. Then we give a parameterization of this group and investigate about some invariants of the corresponding geometry. We find an invariant of any two points and an invariant of any sixth points. All calculations are made by Maple.
ISBN: 9789544236489
Appears in Collections:REMIA 2010

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