the.com/curvature

How much a thing refuses to be a straight line, measured precisely.

means A measure of how sharply something bends or deviates from flatness at a given point.

from From Latin curvatura, built from curvus 'bent, crooked,' plus the noun-forming suffix -tura. Curvus itself traces back to a Proto-Indo-European root meaning to bend or turn — the same deep root that gives English words like crook, crank, and circle their twist. The word entered English in the 1600s through geometry and mechanics, where mathematicians needed a precise term for 'degree of bending' rather than just 'bentness' in general.

zero case
straight lines and flat planes have none
einstein's trick
gravity is just curved spacetime, not a force
sphere math
smaller sphere means tighter curvature, always
sign matters
saddle shapes curve negatively, spheres positively
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