When given imaginary lines to close the angle of the square by another square it makes a complete square. If one takes a point from the center of the square and connect imaginary lines to each angle it creates a Quadrivium. A Quadrivium is also considered the four upper divisions of the seven liberal arts, arithmetic, music, geometry, and astronomy. When the Square and Compass are placed together it shows God and Man, the above and the below, the higher plain and the lower plain, the infinite and the finite. Although the square used in Freemasonry should not be confused with that of having four sides, but it should be understood that in Freemasonry it is only an angle of a square.
Angles are crucial as it represent more than sight or what one sees with the physical eyes.
When one starts to rise in a more conscious level, we will see that the angle of a square takes us into the spiritual and mental plane of thinking. When we view certain aspects of our lives we can see that a well focused person it constantly trying to square his life by making his decisions a right one. It is the angle of his perception, which determines the total framework of his decision, thus giving him a total complete outcome due to his revelation of what he pursued to build. Masonry is a constant teacher of higher sciences, but if we do not use the correct tools we lose the image of a refine structure. In this the square is a very important tool of symbolic substance, and should be always considered to square our work, actions, and thoughts.