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http://dx.doi.org/10.7468/jksmeb.2012.19.4.315

SOME EQUIVALENT CONDITIONS FOR CONIC SECTIONS  

Kim, Dong-Soo (Department of Mathematics, Chonnam National University)
Seo, Soojeong (Department of Mathematics, Chonnam National University)
Beom, Woo-In (Department of Mathematics, Chonnam National University)
Yang, Deukju (Department of Mathematics, Chonnam National University)
Kang, Juyeon (Department of Mathematics, Chonnam National University)
Jeong, Jieun (Department of Mathematics, Chonnam National University)
Song, Booseon (Department of Mathematics, Chonnam National University)
Publication Information
The Pure and Applied Mathematics / v.19, no.4, 2012 , pp. 315-325 More about this Journal
Abstract
Let A and B denote a point, a line or a circle, respectively. For a positive constant $a$, we examine the locus $C_{AB}$($a$) of points P whose distances from A and B are, respectively, in a constant ratio $a$. 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;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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