View full lesson: http://ed.ted.com/lessons/da-vinci-s-vitruvian-man-of-math-james-earle What's so special about Leonardo da Vinci's Vitruvian Man? With arms ...
========== This image of the Vitruvian Man,
taken from Leonardo's sketches, has become one of the most recognizable
symbols of the Renaissance. But why? It's a simple pen and ink drawing, right? Wrong! Let's start to answer this question
with a math problem. I know how to calculate
the area of a circle. I take the value for pi
and multiply it by the radius squared. I also know how to take
the area of a square. I multiply the base by itself. But how can I take the area of a circle
and create a square with an equal area? This is a problem
often called "squaring a circle" that was first proposed
in the ancient world. And like many ideas of the ancient world, it was given new life
during the Renaissance. As it turns out, this problem
is impossible to solve because of the nat...