But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. One of the many statements that were discovered to be equivalent to the fifth postulate in the course of the many failed attempts to prove it is "Given a straight line, and a point P not on that line, there exists at most one straight line passing through P that is parallel to the given line.
The Non-Euclidean Revolution. Euclid divided his axioms into two categories, calling the first five postulates and the next five "common notions.
Socrates BC was an ancient Greek philosopher whose ideas mark the turning point in the history of knowledge and formal thought Ideally, in any axiomatic system, the assumptions are of such a basic and intuitive nature that their truth can be accepted without qualms. Although little is known about Euclid the man, he taught in a school that he founded in Alexandria, Egyptaround b.
The Thirteen Books of Euclid's Elements.
Mahatma is considered the father of India "Mohandas, Introduction. The first six books of his cover elementary plane geometry.
At the time of its introduction, Elements was the most comprehensive and logically rigorous examination of the basic principles of geometry.