Globally, spherical geometry applies to the entire surface of a sphere, where triangles have an angle sum greater than 180°. Locally, Euclidean approximation means that on sufficiently small regions of the sphere, the geometry behaves almost like a flat plane, and triangles have an angle sum very nearly 180°.
Conditions: The comparison is between the entire sphere and a small local patch.; The clip uses Earth as the model for the sphere.
Globally, spherical geometry applies to the entire surface of a sphere, where triangles have an angle sum greater than 180°. Locally, Euclidean approximation means that on sufficiently small regions of the sphere, the geometry behaves almost like a flat plane, and triangles have an angle sum very nearly 180°.
Conditions: The comparison is between the entire sphere and a small local patch.; The clip uses Earth as the model for the sphere.