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Ellipses Inscribed in, and Circumscribed about, Quadrilaterals

By Alan Horwitz
eBook
$103.99
By Alan Horwitz
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The main focus of this book is disseminating research results regarding the pencil of ellipses inscribing arbitrary convex quadrilaterals. In particular, the author proves that there is a unique ellipse of maximal area, EA, and a unique ellipse of minimal eccentricity, EI, inscribed in Q. Similar results are also proven for ellipses passing through the vertices of a convex quadrilateral along with some comparisons with inscribed ellipses. Special results are also given for parallelograms.

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Science & TechnologyMathematicsGeometryGeometry - General & Miscellaneous