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The nine-point conic: a rediscovery and proof by computer
2006
International Journal of Mathematical Education in Science and Technology
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A heuristic description is given of the rediscovery with Sketchpad of a lesswell-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. *
doi:10.1080/00207390500138025
fatcat:7ep6enzhdbhjdgg42yrouey4pe