科研之友
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摘要
If E is any ellipse inscribed in a convex quadrilateral, D, then we prove that Area (E)/Area(D) <= pi/4, and equality holds if and only if D is a parallelogram and E is tangent to the sides of D at the midpoints. We also prove that the foci of the unique ellipse of maximal area inscribed in a parallelogram, D, lie on the orthogonal least squares line for the vertices of D. This does not hold in general for convex quadrilaterals.
- 出版日期2010-9
