Normals to a Parabola

Autor/in	Srinivasan, V. K.
Titel	Normals to a Parabola
Quelle	In: International Journal of Mathematical Education in Science and Technology, 44 (2013) 4, S.568-579 (12 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
DOI	10.1080/0020739X.2012.729681
Schlagwörter	Mathematics Instruction; Mathematical Concepts; Equations (Mathematics); Algebra; Geometry; Validity; Mathematical Logic + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Equations; Mathematics; Gleichungslehre; Geometrie; Gültigkeit; Mathematical logics; Mathematische Logik
Abstract	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.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10