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# FP4 invariant lines watch

1. What actually is an invariant line? The points on the line move but the image of the line remains unchanged? How does that work?
2. (Original post by Ano123)
What actually is an invariant line? The points on the line move
An invariant line is one for which, under a given transformation, all points on the line are their own image. I'm not sure what you mean by them moving?
3. (Original post by Zacken)
An invariant line is one for which, under a given transformation, all points on the line are their own image. I'm not sure what you mean by them moving?
I do not think that is true
4. (Original post by TeeEm)
I do not think that is true
Fair. My description would be "a line of invariant points", right? I get confused. Don't even do this FP4 stuff.
5. (Original post by Zacken)
Fair. My description would be "a line of invariant points", right? I get confused. Don't even do this FP4 stuff.
yes

invariant line is one where points move but only on the line
line of invariant points, points do not move on that line
6. (Original post by Zacken)
Fair. My description would be "a line of invariant points", right? I get confused. Don't even do this FP4 stuff.
If a point is its own image, for all points, then you have the identity transformation. But an invariant line is one where a point on a line maps to a possibly different point on the line, as with a shear.
7. (Original post by TeeEm)
yes

invariant line is one where points move but only on the line
line of invariant points, points do not move on that line

Thanks! Apologies for the confusion OP, I'll let TeeEm take over.

(Original post by Ano123)
What actually is an invariant line? The points on the line move but the image of the line remains unchanged? How does that work?
8. (Original post by Zacken)
Thanks! Apologies for the confusion OP, I'll let TeeEm take over.
Noooo !!!

I am busy ,,,, !!!!

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