Can curvature (of a surface) be derived without coordinates and completely intrinsically?
For flat space two meeting lines would diverge from each other at a constant rate as you go along them. The separation would be 2 sin ¶ l, where ¶ is the angle and l distance along the line.the rate of separation is than 2 sin ¶
What would that deviation be for a sphere. Could this be calculated only from within the sphere and without coordinates?
Could it be derived from axioms of spherical geometry