History of geometry
Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today. His book, "The Elements" is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century.
History of gardening
Renée Descartes, the founder of analytical geometry, believed that the natural world was objectively measurable and that space is infinitely divisible. His belief that "all movement is a straight line therefore space is a universal grid of mathematical coordinates and everything can be located on its infinitely extendable planes" gave us Cartesian mathematics. Through the classical French gardens this coordinate system and philosophy is now given a physical and visual representation.