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A CHARACTERIZATION OF CONIC SECTIONS
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  • Journal title : Honam Mathematical Journal
  • Volume 33, Issue 3,  2011, pp.335-340
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2011.33.3.335
 Title & Authors
A CHARACTERIZATION OF CONIC SECTIONS
Kim, Dong-Soo; Kang, Seung-Hee;
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 Abstract
We study some properties of tangent lines of conic sections. As a result, we establish a characterization of conic sections.
 Keywords
conic section;directrix;focus;tangent line;envelope;1-parameter family of lines;
 Language
English
 Cited by
1.
SOME EQUIVALENT CONDITIONS FOR CONIC SECTIONS,;;;;;;;

한국수학교육학회지시리즈B:순수및응용수학, 2012. vol.19. 4, pp.315-325 crossref(new window)
2.
AREA OF TRIANGLES ASSOCIATED WITH A CURVE,;;

대한수학회보, 2014. vol.51. 3, pp.901-909 crossref(new window)
3.
AREA OF TRIANGLES ASSOCIATED WITH A CURVE II,;;;;

대한수학회보, 2015. vol.52. 1, pp.275-286 crossref(new window)
4.
AREA OF TRIANGLES ASSOCIATED WITH A STRICTLY LOCALLY CONVEX CURVE,;;;;

호남수학학술지, 2015. vol.37. 1, pp.41-52 crossref(new window)
5.
CENTROID OF TRIANGLES ASSOCIATED WITH A CURVE,;;

대한수학회보, 2015. vol.52. 2, pp.571-579 crossref(new window)
6.
ON TRIANGLES ASSOCIATED WITH A CURVE,;;;

대한수학회보, 2015. vol.52. 3, pp.925-933 crossref(new window)
7.
Center of Gravity and a Characterization of Parabolas,;;;

Kyungpook mathematical journal, 2015. vol.55. 2, pp.473-484 crossref(new window)
1.
AREA OF TRIANGLES ASSOCIATED WITH A STRICTLY LOCALLY CONVEX CURVE, Honam Mathematical Journal, 2015, 37, 1, 41  crossref(new windwow)
2.
AREA OF TRIANGLES ASSOCIATED WITH A CURVE II, Bulletin of the Korean Mathematical Society, 2015, 52, 1, 275  crossref(new windwow)
3.
Center of Gravity and a Characterization of Parabolas, Kyungpook mathematical journal, 2015, 55, 2, 473  crossref(new windwow)
4.
ON TRIANGLES ASSOCIATED WITH A CURVE, Bulletin of the Korean Mathematical Society, 2015, 52, 3, 925  crossref(new windwow)
5.
AREA OF TRIANGLES ASSOCIATED WITH A CURVE, Bulletin of the Korean Mathematical Society, 2014, 51, 3, 901  crossref(new windwow)
6.
CENTROID OF TRIANGLES ASSOCIATED WITH A CURVE, Bulletin of the Korean Mathematical Society, 2015, 52, 2, 571  crossref(new windwow)
7.
Areas associated with a Strictly Locally Convex Curve, Kyungpook mathematical journal, 2016, 56, 2, 583  crossref(new windwow)
8.
SOME EQUIVALENT CONDITIONS FOR CONIC SECTIONS, The Pure and Applied Mathematics, 2012, 19, 4, 315  crossref(new windwow)
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Kim, D.-S., Kim, Y. H. and Park, J. H. Some properties of tangent lines of parabolas, submitted.

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Stenlund, M., On the tangent lines of a parabola, College Math. J. 32 (2001), no. 3, 194-196. crossref(new window)

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Yu, Y. and Liu, L., A characterization of parabola, Bull. Korean Math. Soc. 45 (2008), No. 4, 631-634. crossref(new window)