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There's a link to the "home wiki" where I found this.
What software edited the animations?
Didn't completely understand your question... Did you mean what graphic editor I used to create animations? None at all. I used MSVC++ to write a little program that calls some GDI+ functions and draws a multi-layer TIF picture each layer of which is a single frame (Only Math, C++ & some Windows API that are well-documented). Then I used GIMP to convert that file from TIF to GIF format and optimize it for animation. This method (especially programming part) may seem a little long and dull but it's not if you have good skills in C++ and standard college course of Algebraic geometry. I uses this method because it is well-known for me and I don't want to learn specific editors only to create a simple picture for Wikipedia.
I'm not sure which tool exactly was used here: there is at least a couple of them around :). First that comes to my mind is GeoGebra (free in both meanings of the word :)). Second would be Cabri. If you'd look some more, I'm sure you'd find another apps to do that and more in the field of geometry.
As a sidenote: I think it'll be best to just ask the author of these animations what soft did he used.