2012arXiv (Cornell University)Open access

Extracting squares from any quadrilateral

P. Godard

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Abstract

A procedure that generates parallelograms from any quadrilateral is presented. If the original quadrilateral is itself a parallelogram, then the procedure gives squares. Hence, when applied two times, this procedure generates squares from any quadrilateral. The proof needs only undergraduate level.

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What this paper is about

A procedure that generates parallelograms from any quadrilateral is presented. If the original quadrilateral is itself a parallelogram, then the procedure gives squares. Hence, when applied two times, this procedure generates squares from any quadrilateral. The proof needs only undergraduate level.

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Available abstract

A procedure that generates parallelograms from any quadrilateral is presented. If the original quadrilateral is itself a parallelogram, then the procedure gives squares. Hence, when applied two times, this procedure generates squares from any quadrilateral. The proof needs only undergraduate level.

Key concepts: Quadrilateral, Parallelogram, Mathematics, Least-squares function approximation, Combinatorics, Algorithm, Computer science, Engineering

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