@[email protected] to [email protected] • 17 days agoNo arguments heresub.wetshaving.socialimagemessage-square131fedilinkarrow-up1770
arrow-up1770imageNo arguments heresub.wetshaving.social@[email protected] to [email protected] • 17 days agomessage-square131fedilink
minus-square@[email protected]linkfedilink2•17 days agoCan straight be defined in a nonlinear environment?
minus-square@[email protected]linkfedilink2•17 days agoEuclid’s first postulate: Give two points, there exists exactly one straight line that includes both of them.
minus-square@[email protected]linkfedilink4•17 days agoThis only applies in 2nd order real space. Euclidean geometry aside, I agree with at least one line could exist between two points
minus-square@[email protected]linkfedilink4•17 days agoI would guess on a sphere these can be straight yes: The pole goes into the center of cicular thing and radius of the sphere needs to put the other arc on one latitude.
Can straight be defined in a nonlinear environment?
Euclid’s first postulate: Give two points, there exists exactly one straight line that includes both of them.
This only applies in 2nd order real space. Euclidean geometry aside, I agree with at least one line could exist between two points
Counterexample: North and Southpole on Earth.
I would guess on a sphere these can be straight yes: The pole goes into the center of cicular thing and radius of the sphere needs to put the other arc on one latitude.