Wolfram Function Repository

Instant-use add-on functions for the Wolfram Language

Function Repository Resource:

 CircleTangencyPoints

Source Notebook

Find the tangency points on a circle emanating from a point

Contributed by: Thomas Shundi

ResourceFunction["CircleTangencyPoints"][{a,b},{{h,k},r}]

returns tangency points {{x1,y1},{x2,y2}} on the circle centered at {h,k} with radius r which also pass through the point {a,b}.

Details

ResourceFunction["CircleTangencyPoints"] returns an empty list when the given point is inside of the circle, and returns the point itself if it lies on the circumference of the circle.

Examples

Basic Examples (2) 

Given the point {1,1} and the unit circle centered at the origin, CircleTangencyPoints returns the coordinates of the two tangency points:

In[1]:=
ResourceFunction["CircleTangencyPoints"][{1, 1}, {{0, 0}, 1}]
Out[1]=

Here is a diagram illustrating this result:

Publisher

Wolfram Summer Camp

Version History

  • 1.0.0 – 20 January 2021

License Information