Diametric Quadrilaterals with Two Equal Sides

@article{Beauregard2009DiametricQW,
  title={Diametric Quadrilaterals with Two Equal Sides},
  author={Raymond A. Beauregard},
  journal={The College Mathematics Journal},
  year={2009},
  volume={40},
  pages={17 - 21}
}
  • R. Beauregard
  • Published 1 January 2009
  • Education
  • The College Mathematics Journal
Ray Beauregard (beau@math.uri.edu) received his B.A. from Providence College in 1964 and his Ph.D. in 1968 (under the guidance of Richard E. Johnson) from the University of New Hampshire. He has spent his entire career at the University of Rhode Island (Kingston, RI 02881). He and John Fraleigh are the co-authors of a textbook, Linear Algebra, currently in its third edition. Although most of his research has been in ring theory, he has recently become interested in elementary number theory. His… 

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No Arithmetic Cyclic Quadrilaterals

Ray Beauregard (beau@math.uri.edu) received his B.A. from Providence College in 1964 and his Ph.D. in 1968 (under the guidance of Richard E. Johnson) from the University of New Hampshire. He has

Rational Cyclic Quadrilaterals

From four given lengths as sides it is possible in general to construct three distinct cyclic quadrilaterals, whose circumcircles are equal. Any pair of these quadrilaterals has one diagonal-length

On the Diagonals of a Cyclic Quadrilateral

We present visual proofs of two lemmas that reduce the proofs of expressions for the lengths of the diagonals and the area of a cyclic quadrilateral in terms of the lengths of its sides to elementary