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Start Over Descriptor "Right triangle" Topic common area Topic parallelogram
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2. Right triangle and parallelogram pairs with a common area and a common perimeter

Author

Yong Zhang

Subjects
Common area, Parallelogram law, Algebra and Number Theory, Quadrilateral, 010102 general mathematics, Computer Science::Computational Geometry, 01 natural sciences, Integer triangle, 010101 applied mathematics, Combinatorics, Perimeter, Medial triangle, Mathematics::Metric Geometry, 0101 mathematics, Parallelogram, Right triangle, Mathematics
Abstract

By the theory of elliptic curves, we show that there are infinitely many integer right triangle and integer parallelogram pairs with a common area and a common perimeter.

Published
2016

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