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z1 and z2, lie on a circle with centre a...

`z_1 and z_2`, lie on a circle with centre at origin. The point of intersection of the tangents at`z_1 and z_2` is given by

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`|Z_2|^2+|Z_3-Z_2|^2=|Z_3|^2`
`|Z_1|^2+|Z_3-Z_1|^2=|Z_3|^2`
`Z_2Z_2+(Z_3-Z_2)*(Z_3-Z_2)=Z_2Z_3`
`Z_2Z_2+Z_3Z_3-Z_2Z_3-Z_3Z_2=Z_3Z_3`
`2Z_2-Z_3-Z_3Z_2/Z_3=0-(1)`
`2Z_1-Z_3-Z_3Z_1/Z_2=0-(2)`
subtracting equation 2 from equation 1
`2(Z_2-Z_1)-Z_3(Z_2/Z_2-Z_1/Z_1)=0`
...
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