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ERIC Number: EJ884051
Record Type: Journal
Publication Date: 2010
Pages: 11
Abstractor: As Provided
Reference Count: 5
ISBN: N/A
ISSN: ISSN-0020-739X
A Proposal for a Variation on the Axioms of Classical Geometry
Schellenberg, Bjorn
International Journal of Mathematical Education in Science and Technology, v41 n3 p311-321 2010
A set of axioms for classical absolute geometry is proposed that is accessible to students new to axioms. The metric axioms adopted are the ruler axiom, triangle inequality and the bisector axiom. Angle measure is derived from distance, and all properties needed to establish a consistent system are derived. In particular, the SAS congruence theorem is proved. The proofs are broken into many small steps suitable for the target audience. Some explorations with geometry drawing programmes are shown. (Contains 6 figures.)
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A