World Outside Euclid's Geometry

triangles that do not follow angle some property triangles with interior angle sum 270 degrees triangle in nondian geometry triangle in non Euclidean s geometry triangles on a spherical coordinates system triangles on a sphere triangles in hyperbolic geometry hyperbolic plane Euclid ancient Greek mathematician Euclid contribution to mathematics by the book the elements you played in coordinate system 5 postulates of Euclid definitions from euclid's geometry triangles with zero degree angle sum weird triangles spherical coordinate system why aeroplane fly in shortest paths or longer path what are geodesic

[@the_golden_spiral]

Euclidean Geometry and Cartesian are a bit different. I just used them interchangeably. Please correct that, If we are saying Euclidean plane, It simply means that we are giving some axioms and using theorem based on that axioms. But if we are saying Cartesian plane, it means that with euclidean axiom we are giving some method of representing of points.
This means: Euclidean Plane means we have only some set of axiom
Cartesian plane means Euclidean plane+ One fixed method of representing points.

[@gajjze]

I didn't knew about these things before, Thanks 👍

[@the_golden_spiral]

Most Welcome ✨

[@RevTuneStudios]

Wow, nice video

[@the_golden_spiral]

Thanks🌟

[@donovanthompson9013]

Careful at 9:56, those arent straight lines. Only great circles are geodesics on a sphere

[@abhichauhan2916]

I like ur video man, what is ur name ?

[@the_golden_spiral]

Thanks 💖,
I'm Deepak

[@YashRawat-mg8wh]

Are/Were you a TA at IIT Delhi ?

[@the_golden_spiral]

No , I'm a student.