Of the love triangle, where one of the partners is very obtuse. At the lovesick secant who tries, but never hits the right chord. Of the Hopf fibration, who... *slap* Thanks. I needed that.
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Of course, if you have the right perspective, then an asymptote and a tangent are the same thing
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But the parallel lines and asymptotics eventually meet in projective space, so there's some respite
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Only read romances by projective geometers
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I'd add that the tangent's and the curve's meeting point might as well be purely imaginary...
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That's called "stalking".

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I'm a reparameterization kinda guy.
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some go to the universal nucleus {7,2,9}, some to the valence shell {9}, and some to the interior/guts i.e. orbitals {1,2,3,4,5,6,7,8,9}.
End of conversation
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all parallel lines meet in heaven (at infinity)
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