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Bae J.-S., Kim D.-S. and Kim Y. H., A characterization of the unit sphere, Amer. Math. Monthly, 110(9)(2003), 830-833.
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Benyi A., Szeptycki P. and Van Vleck F., Archimedean properties of parabolas, Amer. Math. Monthly, 107(2000), 945-949.
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Benyi A., Szeptycki P. and Van Vleck F., A generalized Archimedean property, Real Anal. Exchange, 29(2003/04), 881-889.
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Chen B.-Y., Kim D.-S. and Kim Y. H., New characterizations of W-curves, Publ. Math. Debrecen., 69/4(2006), 457-472.
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do Carmo, M. P., Differential Geometry of Curves and Surfaces, Prentice-Hall, Englewood Cliffs, NJ, 1976.
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Kim D.-S., A characterization of the hypersphere, Honam Math. J., 27(2)(2005), 267-271.
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Kim D.-S., Ellipsoids and elliptic hyperboloids in the Euclidean space , Linear Algebra Appl., 471 (2015), 28-45.
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Kim D.-S. and Kang S. H., A characterization of conic sections, Honam Math. J., 33(3)(2011), 335-340.
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Kim D.-S. and Kim D. S., Centroid of triangles associated with a curve, Bull. Korean Math. Soc., 52(2)(2015), 571-579.
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Kim D.-S., Kim D. S., Bae H. S. and Kim H.-J., Area of triangles associated with a strictly locally convex curve, Honam Math. J., 37(1)(2015), 41-52.
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Kim D.-S., Kim D. S. and Kim Young Ho, On triangles associated with a curve, Bull. Korean Math. Soc., 52(3)(2015), 925-933.
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Kim D.-S., Kim W., Kim Y. H. and Park D. H., Area of triangles associated with a curve II, Bull. Korean Math. Soc., 52(1)(2015), 275-286.
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Kim D.-S. and Kim Y. H., A characterization of space forms, Bull. Korean Math. Soc., 35(4)(1998), 757-767.
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Kim D.-S. and Kim Y. H., A characterization of ellipses, Amer. Math. Monthly, 114(1)(2007), 66-70.
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Kim D.-S. and Kim Y. H., New characterizations of spheres, cylinders and W-curves, Linear Algebra Appl., 432(11)(2010), 3002-3006.
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Kim D.-S., Kim Y. H. and Yoon D. W., On standard imbeddings of hyperbolic spaces in the Minkowski space, C. R. Math. Acad. Sci. Paris, Ser. I, 352(2014), 1033-1038.
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Kim D.-S. and Kim Y. H., Some characterizations of spheres and elliptic paraboloids, Linear Algebra Appl., 437(2012), 113-120.
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Kim D.-S. and Kim Y. H., Some characterizations of spheres and elliptic paraboloids II, Linear Algebra Appl., 438(2013), 1356-1364.
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Kim D.-S. and Kim Y. H., On the Archimedean characterization of parabolas, Bull. Korean Math. Soc., 50(2013), 2103-2114.
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Kim D.-S., Park J. H. and Kim Y. H., Some characterizations of parabolas, Kyungpook Math. J., 53(1)(2013), 99-104.
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Kim D.-S. and Shim K.-C., Area of triangles associated with a curve, Bull. Korean Math. Soc., 51(3)(2014), 901-909.
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Kim D.-S. and Song B., A characterization of elliptic hyperboloids, Honam Math. J., 35(1)(2013), 37-49.
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Krawczyk J., On areas associated with a curve, Zesz. Nauk. Uniw. Opol. Mat., 29(1995), 97-101.
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Richmond B. and Richmond T., How to recognize a parabola, Amer. Math. Monthly, 116(2009), 910-922.
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Stein S., Archimedes. What did he do besides cry Eureka?, Mathematical Association of America, Washington, DC, 1999.
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