1. Owen Skrelunas and Christian Morell
Conic Sections
Owen Skrelunas and Christian Morell

2. 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
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3. 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.
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4. Forms of Parabolas
4 Types of Parabolas:
X2=4py
X2=-4py
y2=4px
Y2=-4px

5. Real World Parabolas

6. Elipse
A plane curve, especially: A conic section whose plane is not parallel to the axis, base, or generatrix of the intersected cone
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7. Form of ellipse
(x2/a2)+(y2/b2)=1
(x2/b2)+(x2/a2)=1

8. Real World Ellipse

9. 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.
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10. Circle formula

11. Real world conic circles

12. 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.
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13. Hyperbola formula
(y2/a2)-(x2/b2)=1
(x2/a2)-(y2/b2)=1

14. Real world hyperbolas

15. The End