import math
def babylon(root,guess):
    """The Babylonian algorithm"""
    oldGuess = guess*1.0

    while True:
        newGuess = (oldGuess+root/oldGuess)/2
        print oldGuess, newGuess

        if abs(oldGuess - newGuess) < 10 ** -10:
            break
        else:
            oldGuess = newGuess

babylon(2,1)