I'm kind of struggling to understand the ARG representation of a (complex) arc maybe if I can see a properly solved example, it'll be become clearer.
Problem: find an ARG equation for the arc with end points and passing through .
The equation is in the form arg[(z - A) / (z - B)] = Theta
Taking , , B = 1
I get agr[(i + 1) / (i - 1)] = -PI/2
I suppose this makes sense that the angle is 90 deg. Is this right?
Then how do I present the final equation of this arc?
arg[(z - A) / (z - B)] = -PI/2 ...............?
How do I manipulate the equation to find some other point on this arc besides the three already given?