Euclid [325-2650], known as the father of geometry, is responsible for assembling almost all the world’s knowledge of flat-plane (Flat surface geometry) and 3D geometry in one book. His work, together with the work of Pythagoras, forms the basis of all sacred geometry. It is only in the last few centuries that any significant geometry has been added to what Euclid laid down 2,300 years ago. Euclid probably first studied mathematics in Athens with some of Plato’s students. He also wrote close to a dozen of other books on topics, such as music, mechanics and optics, but only four actually survive. Optics, contains some of the earliest studies of perspective.
The ancient Greeks using geometry have built the calculations of harmony that go to make up sacred-geometry and it’s step-by-step logic is the basis of modern scientific reasoning. The Greeks created ideals of classical beauty, stunning architecture and the logical scientific approach to solving problems. These ideals and knowledge of form and proportion are the foundation of sacred geometry as we know it today. At the heart of Western science, Greek geometers helped to build strong foundations of architecture, astronomy, mechanics, and optics. Euclid “arranged” geometry; and Pythagoras explained the inherent sacredness of numbers.
Euclidean geometry needs only a compass and straightedge. In the 13 books of Elements, it gives most of the geometric knowledge of Euclid’s time, containing all we know about plane geometry (Flat surface geometry) and much that we know about spheres, cones, and other 3-d figures.
In [624-546 BC] Thales of Miletus sometimes referred to as the “father of deductive reasoning’ was one of the first to bring the science of geometry from Egypt to Greece three centuries before Euclid. Plato [427-347 BC] founded the Academy in 387 BC that flourished until 529 AD. Plato’s book Phaedo supported Pythagoras by attempting to prove that numbers and figures are the perfect noumenal forms behind manifested reality. After some time around [417-369 BC] Theaetetus of Athens created the solid geometry of the five Platonic solids and his work fascinated Renaissance writers with proportion and sacred geometry. Eudoxus of Cnidus [408-355 BC] devised methods for determining the area of circles and the volumes of pyramids and cones. His works were about proportion and harmony and become key factors in Greek architecture and sacred geometry. Eudoxus work inspired Book V of Euclid’s Elements. This volume is of particular importance to the study of sacred geometry.