--young Pythagoras watches as ancient Greek architects try to figure out how tall their ladder needs to be to reach the top of the temple they are building.
--his father is a trader that wishes there were a faster route to take him to his destination, but there is no way to know how far they would need to sail and they could get lost.
--watches a builder in Rhodes who uses a right triangle to figure out the proper ratio for cutting stone.
--learns the formula can help the architects build a ladder the right size and help his father with a quicker trade route.
--interesting to see how Pythagoras could use materials in his time to discover these principals. Great way to tie history and math together.