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Moulton Geometry
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  • Journal title : Journal for History of Mathematics
  • Volume 29, Issue 3,  2016, pp.191-216
  • Publisher : The Korean Society for History of Mathematics
  • DOI : 10.14477/jhm.2016.29.3.191
 Title & Authors
Moulton Geometry
Jo, Kyeonghee; Yang, Seong-Deog;
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 Abstract
Moulton plane is the plane where all the plane axioms of Hilbert except the side-angle-side axiom hold true, and enables us to understand the importance and significance of the side-angle-side axiom. In this article, we start with the definitions of the Moulton lines, distance, angle, and then introduce many theorems of the Moulton geometry, with many intuitive proofs or explanations of our own with appropriate examples. In particular, we provide our independent study of the tangent lines to the Moulton circles and the rigid motions of the Moulton plane.
 Keywords
Moulton geometry;SAS Axiom;Desargues` theorem;
 Language
Korean
 Cited by
 References
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