Owen Skrelunas and Christian Morell Conic Sections Owen Skrelunas and Christian Morell

What is it? geometric curve formed by cutting cone: a curve produced by the intersection of a plane with a circular cone, e.g. a circle, ellipse, hyperbola, or parabola Explore more: http://math2.org/math/algebra/conics.htm

Parabola A plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the cone or by the locus of points equidistant from a fixed line and a fixed point not on the line. Learn more: http://www.youtube.com/watch?v=F_cnNZ0fCeQ

Forms of Parabolas 4 Types of Parabolas: X2=4py X2=-4py y2=4px Y2=-4px

Real World Parabolas

Elipse A plane curve, especially: A conic section whose plane is not parallel to the axis, base, or generatrix of the intersected cone Learn more: http://tutorial.math.lamar.edu/Classes/Alg/Ellipses.aspx

Form of ellipse (x2/a2)+(y2/b2)=1 (x2/b2)+(x2/a2)=1

Real World Ellipse

Circle The circle is the simplest and best known conic section. As a conic section, the circle is the intersection of a plane perpendicular to the cone's axis. Learn more: http://en.wikibooks.org/wiki/Conic_Sections/Circle

Circle formula

Real world conic circles

Hyperbola A symmetrical open curve formed by the intersection of a cone with a plane at a smaller angle with its axis than the side of the cone. Learn more: http://mathworld.wolfram.com/Hyperbola.html

Hyperbola formula (y2/a2)-(x2/b2)=1 (x2/a2)-(y2/b2)=1

Real world hyperbolas

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