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Conic sections is by definition the intersection of a plane and a cone By changing the angle and location of the intersection we can produce a circle ellipse parabola or hyperbola or in the special case when the plane touches the vertex a point line or 2 intersecting lines The general equation for the conic sections is Ax2 Bxy Cy2 Dx Ey F 0 Parabolas are used in real life situations such as the building of suspension bridges the reflector of automobile headlights and in physics with laws of gravity and the path for thrown objects such as javelins Satellite dishes and radio telescopes are also built in the shape of parabolas Important terms of parabolas include vertex zeros and y intercept Circles are seen and used almost everywhere from the wheels on our cars to electric saws Even rainbows come in arcs of a circle Some important terms include radius origin or center and diameter Ellipses were first claimed by Kepler to be the true shape of the orbital Today ellipses are also used in the manufacturing of optical glass for telescopes and microscopes Some key terms of ellipses are foci and origin Some key terms of hyperbola terms are branch center Conjugate Axis asymptotes and transverse axis Hyperbolas are used to illustrate the path of a comet Sound waves also travel in hyperbolic paths
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