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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 대한수학회 1997 대한수학회논문집 Vol.12 No.4
타원형 미분작용소의 이론을 이용하여 옹골 다양체에서 정의된 벡터장의 특이점에 관한 푸앵카레-호프의 이론과 평다발의 오일러-푸앵카레 특성수를 연관시키는 법을 살펴보았다.