I Negative curvature in low dimensions

[Paige_Turner]

TL;DR Summary

Can a plane curve have negative curvature?

It's probably the hyperbola, but I don't see how it's curvature is negative. It looks like 2 parabolas.
thanx, paige turner

 

[BvU]

Hello and !

You may be able to see what "it" looks like, but we are mere humans and not telepathic.
Pleas present a complete case.

And if all you want is an answer: yes, curve can have a negative curvature.

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[FactChecker]

If f(x) has positive curvature, then -f(x) has negative curvature. It is possible for a curve to curve downward

 

[Paige_Turner]

Hello and !

> You may be able to see what "it" looks like, but we are mere humans and not telepathic.

Well, I'm autistic--not human at all. Ask my friends. The subject line indicates that "it" is a plane curve with negative curvature.

> Please present a complete case.

A case for what? I don't have an agenda.I don't have the answer. I just want to understand WITW is going on around me, and what's "around me" is the universe.

> if all you want is an answer

Um... what else could I want? I asked a question.

I just got here and I'm already in trouble with the mods. If past is indeed prologue, I will be banned and not have the slightest idea why--even when I'm polite and only talk about hypergeometry.