formulas 100%

u × v = u v sin ϕ Conic sections circle x 2 + y 2 = r 2 ellipse x2 y2 + =1 a 2 b2 circle ( x − m ) + ( y − n ) = r 2 2 ellipse 2 x2 y 2 + =1 a 2 b2 x2 y2 hyperbola 2 − 2 = 1 a b equiaxed hyperbola y = ( k , u= k x x2 y2 hyperbola − 2 + 2 = 1 a b ) ( k equiaxed hyperbola y = − , u = k x parabola x 2 = 2 py parabola x 2 = −2 py parabola y 2 = 2 px parabola y 2 = −2 px ) Quadrics sphere x 2 + y 2 + z 2 = r 2 hyperboloid of one sheet cone x2 y2 z 2 + − =1 a 2 b2 c2 x2 y2 z 2 + − =0 a 2 b2 c 2 ellipsoid x2 y 2 z 2 + + =1 a 2 b2 c 2 hyperboloid of two sheets elliptic paraboloid x2 y2 z 2 − − =1 a2 b2 c2 x2 y2 + =z a2 b2 hyperbolic paraboloid elliptic cylinder x2 y 2 − =z a 2 b2 x2 y2 + =1 a 2 b2 hyperbolic cylinder x2 y2 − =1 a 2 b2 hyperbolic paraboloid (rotated) z = axy x2 =y a2

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02/05/2014 www.caja-pdf.es