![](../../ana/pix/newtoncropfix.gif)
Illustration from Newton's Principia for his
proof that for a monotonic
function f defined
on an interval [A,E] the difference between the
upper
and lower sums with n equal subdivisions
is equal in absolute value to
(f(E)-f(A))(E-A)/n
(and therefore goes to 0 as n goes to infinity). Here n=4.
SUNY at Stony Brook -- Calculus II -- Spring 1998
Anthony Phillips
Math Dept SUNY Stony Brook
tony@math.sunysb.edu
May 5 1998