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 rotated with the left mouse button and be zoomed with the right mouse button.