Shear Theorems and Their Role in Affine Geometry

Jolanta Swierzynska

Warsaw University, Bialystok

Bogdan Swierzynski

Warsaw University, Bialystok

Summary.

Investigations on affine shear theorems, major and minor, direct and indirect. We prove logical relationships which hold between these statements and between them and other classical affine configurational axioms (eg. minor and major Pappus Axiom, Desargues Axioms et al.). For the shear, Desargues, and Pappus Axioms formulated in terms of metric affine spaces we prove they are equivalent to corresponding statements formulated in terms of affine reduct of the given space.

MML Identifier: CONMETR1

Contents (PDF format)

Bibliography

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