While the intangible is something that is aimed at an emotional response, the tangible involves the underlying laws of math and science that allows a building to be designed and constructed, things such as angles, length, width, height, arches, circles.
We will learn how the ancient Greeks designed all their structures and made all the geometric shapes and calculations using only the compass and straightedge. It is a great tribute to the Greek civilization that the average high school geometry text taught in today’s high school is based on Euclid’s “Elements” dating to 300 B.C.
While the total body of mathematical knowledge is vast when compared to the geometry of ancient Greece, it is still that geometry that serves as a foundation for higher math.
Let us look at a few elements of the Tangible side of architecture: