ERIC Number: EJ900050
Record Type: Journal
Publication Date: 2007-Sep
Abstractor: As Provided
Reference Count: 0
The Normals to a Parabola and the Real Roots of a Cubic
Bains, Majinder S.; Thoo, J. B.
College Mathematics Journal, v38 n4 p272-277 Sep 2007
The geometric problem of finding the number of normals to the parabola y = x[squared] through a given point is equivalent to the algebraic problem of finding the number of distinct real roots of a cubic equation. Apollonius solved the former problem, and Cardano gave a solution to the latter. The two problems are bridged by Neil's (semi-cubical) parabola.
Descriptors: Geometry, Algebra, Problem Solving, Equations (Mathematics), Mathematical Concepts, History
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A