Basic arithmetic and geometry formed the basis of what the mathematical world had to offer at its very beginnings. ... As mentioned in the Stanford Encyclopedia, "Pythagoras is said to have transformed the philosophy of geometry into a form of liberal education, to have investigated its theorems in an immaterial and intellectual way and specifically to have discovered the study of irrational magnitudes and the construction of the five regular solids," (2). ... He came up with what we now know as the Pythagorean Theorem which in mathematics today is described as a^2+b^2=c^2. ... The ...