@[email protected] to [email protected] • 2 months agoNo arguments heresub.wetshaving.socialimagemessage-square131fedilinkarrow-up1775
arrow-up1775imageNo arguments heresub.wetshaving.social@[email protected] to [email protected] • 2 months agomessage-square131fedilink
minus-square@[email protected]linkfedilink2•2 months agoCan straight be defined in a nonlinear environment?
minus-square@[email protected]linkfedilink2•2 months agoEuclid’s first postulate: Give two points, there exists exactly one straight line that includes both of them.
minus-square@[email protected]linkfedilink4•2 months 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]linkfedilink3•2 months agoCounterexample: North and Southpole on Earth.
minus-square@[email protected]linkfedilink4•2 months 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.