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http://dx.doi.org/10.7468/mathedu.2013.52.1.083

The reinterpretation and the visualization of Apollonius' symptoms on conic sections  

Kim, Hyang Sook (Department of Applied Mathematics, Institute of Basic Science, Inje University)
Pak, Jin Suk (An emeritus professor Kyungpook National University)
Ha, Hyoung Soo (Daegu Science High School)
Publication Information
The Mathematical Education / v.52, no.1, 2013 , pp. 83-95 More about this Journal
Abstract
The purpose of this paper is to explain and reinterprets Apollonius' Symptoms on conic sections based on the current secondary curriculum of mathematics, present the historical background of Apollonius' Symptoms to teachers and students and introduce visualization proof of Apollonius' symptoms on a parabola, a hyperbola and an ellipse by a new method using dynamic geometry software(GSP) respectively.
Keywords
conic sections; Apollonius' Symptoms; parabola; hyperbola; ellipse; reinterpretation; visualization;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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