Early geometry was considered an observation of spatial relationships. Its origins reach far into the history of the early human population, traced from the ancient Indus Valley. The ideas were relatively simple, streaming angles, length, and volume.
Originally, scholars looked to classic geometry which focused on compass and straight head constructions. This type of geometry was applied to practical uses, such as construction (as
the name implies) and astronomy. Geometric concepts were revolutionized by Euclid, a Hellenistic Greek mathematician, when he published books titled The Elements of Geometry, describing axiomatic geometric principles filled with ideal situation and starting what is called Euclidean Geometry. Though later, parts of his theories were found to be based on extensively faulty grounds, his theories provided a base for future generations, ultimately influencing the modern geometry apparent today.
The history of geometry is classified by their respective civilizations, as most geometric principles stayed similar with their own characteristic differences:
Egyptian
Babylonian
Greek
Chinese
Islamic
Modern
Now, modern geometry focuses on algebraic principles focusing on lines and curves on a specified finite plane. Topology also stemmed from Geometry, focusing on equal measurements and straight edges and lines.