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Pairing theorems about parabolas through duality

Published online by Cambridge University Press:  13 October 2021

Steven J. Kilner
Department of Mathematics, 1000 East Henrietta Road, Monroe Community College, Rochester, NY 14623 USA, e-mail:
David L. Farnsworth
School of Mathematical Sciences, 84 Lomb Memorial Drive, Rochester Institute of Technology, Rochester, NY 14623 USA, e-mail:


We investigate the pairing of theorems about parabolas through a dual transformation. Theorems and constructions concerning a parabola in a two-dimensional space can be in one-to-one correspondence with theorems and constructions concerning a parabola in the two-dimensional dual space. These theorems are called dual theorems.

© The Mathematical Association 2021

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