Finding Rational Parametric Curves of Relative Degree One or Two

Autor/in	Boyles, Dave
Titel	Finding Rational Parametric Curves of Relative Degree One or Two
Quelle	In: College Mathematics Journal, 41 (2010) 5, S.371-382 (12 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0746-8342
DOI	10.4169/074683410X521973
Schlagwörter	Algebra; Equations (Mathematics); Mathematical Concepts; College Mathematics; Computation; Mathematics Instruction + Suchen Sie Ihr Suchwort? Equations; Mathematics; Gleichungslehre; Mathematics lessons; Mathematikunterricht
Abstract	A plane algebraic curve, the complete set of solutions to a polynomial equation: f(x, y) = 0, can in many cases be drawn using parametric equations: x = x(t), y = y(t). Using algebra, attempting to parametrize by means of rational functions of t, one discovers quickly that it is not the degree of f but the "relative degree," that describes how difficult the computations become. When the relative degree is one, the parametrization technique is well-known (and quite simple). When it is two, solutions can still be directly computed using the quadratic formula. Here, we demonstrate a general method for relative degree two, focusing on specific examples. (As Provided).
Anmerkungen	Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10