the.com/asymptote

The line a curve loves forever but can never quite touch.

means A line that a curve gets closer and closer to without ever actually meeting it, no matter how far you extend it.

from From Greek 'asymptotos,' meaning 'not falling together' — built from 'a-' (not) plus 'symptotos' (falling together, from syn- 'together' and ptotos 'fallen,' related to piptein 'to fall'). Greek geometers coined it for lines that, despite running alongside each other forever, were mathematically forbidden from ever touching down together.

origin
Greek for not falling together
infinity trick
lets math describe forever without reaching it
common type
vertical ones hide division by zero
real use
models growth that slows but never quite stops
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