Geometry 3D

Intersection of Sphere and Line

Given a sphere and a line, the intersection points are calculated.

The Sphere may be entered by its center and radius, the line in parametric representation or by two points.

Example:

Sphere :
¯¯¯¯¯¯¯¯
  K : M(5|5|5) ,  r = 5

Line :
¯¯¯¯¯¯
     ->  ⎧ 1 ⎫     ⎧ 1 ⎫
 g : x = ⎪ 0 ⎪ + r·⎪ 1 ⎪
         ⎩ 0 ⎭     ⎩ 1 ⎭

Intersection points :
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
  S1(2,818665|1,818665|1,818665)
  S2(8,514668|7,514668|7,514668)

Length of the chord :
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
  s = 9,8657657

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

See also:

Graphics 3D
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