MatheAss 10.0Geometry 3D

Intersection of two Spheres

Given the center and radius of two spheres the program calculates the center and radius of the intersection circle and the coordinate equation of the intersection plans.

If a radius of Zero is entered, the equation of the tangential plane is determined.

Example:

Given the two spheres:
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
K1 : M1(3|3|3) ,  r1 = 3
K2 : M2(1|1|1) ,  r2 = 3

Intersection circle:
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
  M(2|2|2) ,  r = 2,4494897

Intersection plane :
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
  E : x + y + z = 6

The diagram can be rotated with the left mouse button and be zoomed with the right mouse button.

See also:

Graphics 3D
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