Math, Mathematics, Geometry, Path, 2d.
c+d < e+f+g+h because of the Pythagorean Theorem. Repeat the process again and again until we have an infinite number of infinitely small lines. Then we get a+b < c+d< e+f+g+h< i+j+k+l+m+n+o+p <…. < the curve. Thus, this proves that the direct line AB is always less than the curve line AB. The same