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http://dx.doi.org/10.14477/jhm.2016.29.3.191

Moulton Geometry  

Jo, Kyeonghee (Division of Liberal Arts and Sciences, Mokpo National Maritime Univ.)
Yang, Seong-Deog (Dept. of Math., Korea Univ.)
Publication Information
Journal for History of Mathematics / v.29, no.3, 2016 , pp. 191-216 More about this Journal
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;
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Times Cited By KSCI : 1  (Citation Analysis)
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