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Pairing theorems about parabolas through duality

Published online by Cambridge University Press:  13 October 2021

Steven J. Kilner  and
David L. Farnsworth
Steven J. Kilner
Affiliation:
Department of Mathematics, 1000 East Henrietta Road, Monroe Community College, Rochester, NY 14623 USA, e-mail: skilner@monroecc.edu
David L. Farnsworth
Affiliation:
School of Mathematical Sciences, 84 Lomb Memorial Drive, Rochester Institute of Technology, Rochester, NY 14623 USA, e-mail: DLFSMA@rit.edu
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Extract

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.

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Articles
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The Mathematical Gazette , Volume 105 , Issue 564 , November 2021 , pp. 385 - 396
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© The Mathematical Association 2021

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