Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990 Association of Mizar Users

Classical Configurations in Affine Planes


Henryk Oryszczyszyn
Warsaw University, Bialystok
Krzysztof Prazmowski
Warsaw University, Bialystok

Summary.

The classical sequence of implications which hold between Desargues and Pappus Axioms is proved. Formally Minor and Major Desargues Axiom (as suitable properties - predicates - of an affine plane) together with all its indirect forms are introduced; the same procedure is applied to Pappus Axioms. The so called Trapezium Desargues Axiom is also considered.

Supported by RPBP.III-24.C2.

MML Identifier: AFF_2

The terminology and notation used in this paper have been introduced in the following articles [1] [2] [3]

Contents (PDF format)

Bibliography

[1] Henryk Oryszczyszyn and Krzysztof Prazmowski. Analytical ordered affine spaces. Journal of Formalized Mathematics, 2, 1990.
[2] Henryk Oryszczyszyn and Krzysztof Prazmowski. Ordered affine spaces defined in terms of directed parallelity --- part I. Journal of Formalized Mathematics, 2, 1990.
[3] Henryk Oryszczyszyn and Krzysztof Prazmowski. Parallelity and lines in affine spaces. Journal of Formalized Mathematics, 2, 1990.

Received April 13, 1990


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