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ISSN : 1226-0657

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Vol.19 No.4
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SOME EQUIVALENT CONDITIONS FOR CONIC SECTIONS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.4, pp.315-325
https://doi.org/10.7468/jksmeb.2012.19.4.315
Kim, Dong-Soo
Seo, Soojeong
Beom, Woo-In
Yang, Deukju
Kang, Juyeon
Jeong, Jieun
Song, Booseon
Kim,, D. , Seo,, S. , Beom,, W. , Yang,, D. , Kang,, J. , Jeong,, J. , & Song,, B. (2012). SOME EQUIVALENT CONDITIONS FOR CONIC SECTIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(4), 315-325, https://doi.org/10.7468/jksmeb.2012.19.4.315
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Abstract

Let A and B denote a point, a line or a circle, respectively. For a positive constant <TEX>$a$</TEX>, we examine the locus <TEX>$C_{AB}$</TEX>(<TEX>$a$</TEX>) of points P whose distances from A and B are, respectively, in a constant ratio <TEX>$a$</TEX>. As a result, we establish some equivalent conditions for conic sections. As a byproduct, we give an easy way to plot points of conic sections exactly by a compass and a straightedge.

keywords
parabola, ellipse, hyperbola, conic section, directrix, focus

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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