Hi guys,

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 $\displaystyle -1$ and $\displaystyle 1$ passing through $\displaystyle i$.

The equation is in the formarg[(z - A) / (z - B)] = Theta

Taking $\displaystyle z = i$, $\displaystyle A = -1$, 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?

Thanks!