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Math Presentation - Conic Sections
Transcript of Math Presentation - Conic Sections
(x-h)2 + (y-k)2 = r2
Origin (0 , 0)
X2 + Y2 = r2 Definition : Equation : Applications of Circles : During the full moon phase, it appears as a circle in the sky. gears are a good example of the circle conic. The gears intersect in order to keep spinning. A curved line forming a closed loop, where the sum of the distances from two points (foci) to every point on the line is constant. Definition : Equation : (x - h)2 / a2 + (y - k)2 / b2 = 1 Application : The orbits of the planets are ellipses, not circles. This was first discovered by Johannes Kepler based on his careful observations Medical specialists used the ellipse to invent a device that effectively treats kidney stones and gallstones. shockwaves are used to successfully shatter a painful kidney stone (or gallstone) into tiny pieces that can be easily passed by the body. This medical application is called lithotripsy.