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ON TRIANGLES ASSOCIATED WITH A CURVE
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 Title & Authors
ON TRIANGLES ASSOCIATED WITH A CURVE
Kim, Dong-Soo; Kim, Dong Seo; Kim, Young Ho;
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 Abstract
It is well-known that the area of parabolic region between a parabola and any chord on the parabola is four thirds of the area of triangle . Here we denote by P the point on the parabola where the tangent is parallel to the chord . In the previous works, the first and third authors of the present paper proved that this property is a characteristic one of parabolas. In this paper, with respect to triangles where Q is the intersection point of two tangents to X at and we establish some characterization theorems for parabolas.
 Keywords
area;parabola;triangle;plane curvature;strictly locally convex curve;
 Language
English
 Cited by
1.
Center of Gravity and a Characterization of Parabolas,;;;

Kyungpook mathematical journal, 2015. vol.55. 2, pp.473-484 crossref(new window)
1.
Area properties associated with a convex plane curve, Georgian Mathematical Journal, 2017, 24, 3  crossref(new windwow)
2.
Center of Gravity and a Characterization of Parabolas, Kyungpook mathematical journal, 2015, 55, 2, 473  crossref(new windwow)
3.
Areas associated with a Strictly Locally Convex Curve, Kyungpook mathematical journal, 2016, 56, 2, 583  crossref(new windwow)
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