Friday, July 5, 2019


Sphere: - 

In cartesian co-ordinate, A spherical surface with radius are centered on the co-ordinate origin is defined the set of points (x, y, z) such that the equation


 we can additionally describe the spherical surface in parametric form using the latitude and longitude angles as
 x = r cosφ cosθ
 y = r cosφ sinθ
 z = r sinφ
 These above equations provide an asymmetric Range for the angular parametric θ and φ alternatively. We would write the parametric equation using standard spherical coordinates. Where φ has specified the angle between z-axis the coordinate. Then φ is defined over the range 0 ≤ φ ≤ θ ≤ π, and θ is often taken in the range φ ≤ θ ≤ π we would also set up the representation using parameters u and v defined over the vary from zero to one by substituting
 Φ = π u And
 Θ = 2 π v

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