“When the proportions are adjusted, and the dimensions found by calculation, then it is the part of a skilful architect to consider the nature of the place, the purpose of the building, and the beauty of it.”          VITRUVIUS

When everything was mystical and metaphorical, it was only natural that numbers should have been brought to the service of Art.  Geometry also provided a symbolical code, which may some day be understood.  These geometrical symbols enabled the mathematicians to import the secret mysteries into their works, and also gave to the builders a means of applying a numerical system to the temples, which, as Plato says, exhibited the pattern of the laws in Egypt.  Considerable traces of this symbolical geometry survive in the arcana of Freemasonry.

Philosophy must have been equally dependent upon some system of geometry, for Plato wrote over the door of his academy;