eBook - ePub

Ellipses Inscribed in, and Circumscribed about, Quadrilaterals

Name: Ellipses Inscribed in, and Circumscribed about, Quadrilaterals
ISBN: 9781040027752

Alan Horwitz,

146 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Ellipses Inscribed in, and Circumscribed about, Quadrilaterals

Alan Horwitz,

About this book

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.

Researchers in geometry and applied mathematics will find this unique book of interest. Software developers, image processors along with geometers, mathematicians, and statisticians will be very interested in this treatment of the subject of inscribing and circumscribing ellipses with the comprehensive treatment here.

Most of the results in this book were proven by the author in several papers listed in the references at the end. This book gathers results in a unified treatment of the topics while also shortening and simplifying many of the proofs.

This book also contains a separate section on algorithms for finding ellipses of maximal area or of minimal eccentricity inscribed in, or circumscribed about, a given quadrilateral and for certain other topics treated in this book.

Anyone who has taken calculus and linear algebra and who has a basic understanding of ellipses will find it accessible.

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Yes, you can access Ellipses Inscribed in, and Circumscribed about, Quadrilaterals by Alan Horwitz in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Geometry. We have over one million books available in our catalogue for you to explore.