Peer reviewed
Direct linkERIC Number: EJ729399
Record Type: Journal
Publication Date: 2006-Jan-15
Pages: 8
Abstractor: Author
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
The Nine-Point Conic: A Rediscovery and Proof by Computer
DeVilliers, Michael
International Journal of Mathematical Education in Science & Technology, v37 n1 p7-14 Jan 2006
A heuristic description is given of the rediscovery with "Sketchpad" of a less-well-known, but beautiful, generalization of the nine-point circle to a nine-point conic, as well as an associated generalization of the Euler line. The author's initial analytic geometry proofs, which made use of the symbolic algebra facility of the TI-92 calculator, are also presented. (Contains 7 figures.)
Descriptors: Geometry, Mathematical Logic, Algebra, Mathematics Education, Geometric Concepts, Computer Software, Computer Uses in Education, Computation, Problem Solving, Generalization
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
