- #1
Gail Brimeyer
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Homework Statement
If P is a point in E (euclidean Plane) Then the "Inversion through P" is
Vp = {(x,y)| x,y in E and either,
1. x=y=p, or
2. p is the midpoint of segment xy}What's Fix(Vp)
Show that Vp composed of Vp = The identity
Homework Equations
The Attempt at a Solution
Vp composed of Vp = The identity because Vp is a rigid motion and two rigid motions are equal to the identity?? (not so sure on this one)
I believe is that Fix(Vp) is every point because given point P in E and it's inversion through point P gives us that the inversion is = x=y=p so wouldn't that mean (p,p)?
Homework Statement
Homework Equations
The Attempt at a Solution
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