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Apr
28
comment Focus of parabola using only a ruler
You need to define the focus and by doing so I guess you might already see that this is not projective. Also there are points that are always preserved by a projective transform, the point at infinity in the case of the parabola so this contradicts your final statement. Can you modify it to make it always hold?
Apr
28
comment Focus of parabola using only a ruler
How do you prove this?
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May
24
answered What are some mathematical concepts that were (pretty much) created from scratch and do not owe a debt to previous work?
May
24
answered What are some deep theorems, and why are they considered deep?
Feb
5
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Jun
27
answered Is Grothendieck a computer?
Jun
27
answered Modern Mathematical Achievements Accessible to Undergraduates
May
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answered Is there any geometry where the triangle inquality fails?
Jun
28
comment Theorems with unexpected conclusions
I think that if you knew NP completness existed already then you might guess that SAT is NP complete, however the really surprising thing is that there are so many different and varied NP complete problems. I also think that one has to bear in mind the fact that with hindsight many ideas look more obvious than they were at the time!
Jun
27
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Jun
27
answered Theorems with unexpected conclusions
Jun
27
answered What is convolution intuitively?