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ERIC Number: EJ1013263
Record Type: Journal
Publication Date: 2013
Pages: 12
Abstractor: As Provided
Reference Count: 5
ISSN: ISSN-0020-739X
Normals to a Parabola
Srinivasan, V. K.
International Journal of Mathematical Education in Science and Technology, v44 n4 p568-579 2013
Given a parabola in the standard form y[superscript 2] = 4ax, corresponding to three points on the parabola, such that the normals at these three points P, Q, R concur at a point M = (h, k), the equation of the circumscribing circle through the three points P, Q, and R provides a tremendous opportunity to illustrate "The Art of Algebraic Manipulations". The equation of the circle exists as a separate entity depending on the values of the parameters a, h, and k. The graphical illustrations are based on Scientific WorkPlace 5.5 and they provide interesting interpretations of the roots of cubic equations. Geometry, algebra and the theory of cubic equations are amply illustrated in this article. (Contains 5 figures.)
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Publication Type: Reports - Descriptive; Journal Articles
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A