Example 10.4.  Construct the bilinear transformation  w = S(z)  that maps the points    onto the points  ,  respectively.

Explore Solution 10.4.

Enter the three points and their images and solve for  w = S(z).  

Check our work and by looking at the images of  .  

To visualize the mapping  w = S(z)  we will consider a graph.

(c) 2006 John H. Mathews, Russell W. Howell