Illustration from Newton's Principia for his
proof that (in modern notation)
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.
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