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김홍종,Kim, Hong-Jong 한국수학사학회 2014 Journal for history of mathematics Vol.27 No.6
When the circle inscribed in a square is projected to a picture plane, one sees, in general, an ellipse in a convex quadrilateral. This ellipse is poorly described in the works of Alberti and Durer. There are one parameter family of ellipses inscribed in a convex quadrilateral. Among them only one ellipse is the perspective image of the circle inscribed in the square. We call this ellipse "the projected ellipse." One can easily find the four tangential points of the projected ellipse and the quadrilateral. Then we show how to find the center of the projected ellipse. Finally, we describe a pair of conjugate vectors for the projected ellipse, which finishes the construction of the desired ellipse. Using this algorithm, one can draw the perspective image of the squared-circle tiling.
김홍종(Hong-Jong Kim),김낙영(Nag-Young Kim) 한국토목섬유학회 2012 한국지반신소재학회 학술발표회 Vol.2012 No.4
In this study, Theoretical studies have been performed for drainage characteristics, low consolidation rate of sandmat and prefabricated horizontal drains(PHDs). The PHDs are adopted to substitute for sandmat at domestic highway construction sites. Instrumentation is conducted to investigation the drainage capacity and applicability of PHDs.