
Recall Problem 3 on Project 1, which
was inspired by a figure that
was included in the book Vijaganita, (Root Calculations),
by the Hindu mathematician Bhaskara (around 1150).
Bhaskara's only explanation of his proof was, simply, "Behold".
What you see is an animated version of Bhaskara's Idea.
A quote from
Math Awareness Month 2000 states:
"Calculus is not the time when students should be doing their first serious
thinking about geometry. Rather it should be the culmination of years of
consideration of increasingly sophisticated geometrical topics...
It isn't necessary to wait until students have learned about square roots
before they can see an illustration of the Pythagorean theorem.
Children who play with geometric puzzles that illustrate decompositions will
find it easier later on to appreciate formal results. "
