2 citations · 4 across the 5 of their papers we have counts for
5 papers
Centroid of triangles associated with a curve
Dong-Soo Kim, Dong Seo Kim
Archimedes showed that the area between a parabola and any chord on the parabola is four thirds of the area of triangle , where P is the point on the parabola at which t…
Center of gravity and a characterization of parabolas
Dong-Soo Kim, Young Ho Kim, Sookhee Park
Archimedes determined the center of gravity of a parabolic section as follows. For a parabolic section between a parabola and any chord on the parabola, let us denote by t…
Cheng-Yau operator and Gauss map of surfaces of revolution
Dong-Soo Kim, Jong Ryul Kim, Young Ho Kim
We study the Gauss map of surfaces of revolution in the 3-dimensional Euclidean space with respect to the so called Cheng-Yau operator acting on the…
Ellipsoids and elliptic hyperboloids in the Euclidean space
Dong-Soo Kim
We establish some characterizations of elliptic hyperboloids (resp., ellipsoids) in the -dimensional Euclidean space , using the -dimensional area of the…
Some characterizations of spheres and elliptic paraboloids II
Dong-Soo Kim, Young Ho Kim
We show some characterizations of hyperspheres in the -dimensional Euclidean space with intrinsic and extrinsic properties such as the -dimensional area…