Geometry 2D

Intersection of Circle and Line

The intersection points of a circle and a straight line are calculated.

Example:

Circle and line :
¯¯¯¯¯¯¯¯¯¯¯¯¯
  k : M(5|0)   r = 5
  g : x + y = 0

Intersection points :
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
  S1(5|-5)
  S2(0|0)

 

Circle and line :
¯¯¯¯¯¯¯¯¯¯¯¯¯
   k : M(3|4)   r = 5
   g : 3x + 4y = 0

Point of tangency :
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
   B(0|0)
   

See also:

Adjusting the Coordinate System
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