euclid
The ancient Greeks have contributed much to the development of the Western World as we know it today. The Greeks questioned all and yearned for the answers to many of life's questions. Their society revolved around learning, which allowed them to devote the majority of their time to enlightenment. In answering their questions, they developed systematic activities such as philosophy, psychology, astronomy, mathematics, and a great deal more. Socrates (469-399 BC) was an ancient Greek philosopher whose ideas mark the turning point in the history of knowledge and formal thought. Plato (428-347:348 BC) one of Socrates students founded the Academy. The Academy was key in spreading thought and knowledge because of it's devotion to teaching the sciences. Aristotle (384-322 BC), Plato's brightest student, founded Biology and is given credit for his accomplishments in varying fields. Out of all of the great Greek accomplishments which influence the world today, I chose the one which I believe is the most important, Euclidean Geometry and its effects. Euclid (365-300 BC) is often considered synonymous with geometry. Euclid's works have been so influential that they serve as t
Euclid's most important works are summarized in the Elements, which consists of 13 detailed books. Elements presents all of the Greek geometrical knowledge of Euclid's day in a logical fashion. These books give us a little insight into Euclid and were designed and are used as learning tools. Including theorems and constructions of plane geometry, solid geometry theory of proportions, incommensurable, commensurable, number theory, and the basis for what is known as geometrical algebra. Proclus (Greek Philosopher) defined Elements as "those theorem whose understanding leads to knowledge of the rest." Elements is a detailed explanation of geometric shapes, and measurements using the number theory. The impact of the Elements has been so great that translated forms are widely studied today. Since Euclid based his entire geometric study on points, straight lines, and circles, his work leaves three main geometrical questions open. The three famous problems left unsolved were squaring a circle, doubling the cube, and trisecting the angle. But the Greeks say other Greek philosophers later solved these unsolved mysteries. Euclidean Geometry was not elaborated upon greatly until 1667 when Girolamo Saccheri wrote Euclid Freed of Every Flaw. Girolamo Saccheri through his works started the basis for elliptical geometry (obtuse angles) and hyperbolic geometry (acute angles) which was a continuation
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Approximate Word count = 945
Approximate Pages = 4 (250 words per page double spaced)
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