Greek Geometry Although the original roots of geometry can be traced to the Egyptians, the Greeks built on most Egyptian theories that we use today. Greek astronomy and Greek geometry were both used in order to answer many difficult questions of the time. Without geometry, the study of astronomy would have been almost impossible, and vice versa. Even though many Greek theorems and principles were later built on by geniuses such as Einstein and Lobachevsky, the basis still remains the same. The development of Greek geometry is said to be started by Thales of Miletus.
Math had made it possible to understand this aspect of the cosmos, yet there were some differences on how they really worked. The Greeks were the first to “propose explanations for the motions of astronomical objects that relied on logic and geometry” Bennett, Donahue, Schneider, and Voit (2004). Math, helped explain, and defy the beliefs held for many years. The Greeks created a geocentric model, which places the earth in the center of the universe. This was attributed, to Thales (c. 624-546 B.C.
The use of circle to represent zero is usually attributed to Hindu mathematics. Early Indians are also known to be the first to establish the basic mathematical rules for dealing with zero. They had also established the laws that could be used to manipulate and perform calculation on negative numbers, something that was not manifested in unearthed mathematical works of other ancient mathematics. Brahmagupta, a Hindu mathematician, showed that quadratic equations could have two possible solutions and one of which could be negative. In India, there was an era called “the Golden Age of Indian Mathematics.
(Pg. 55, Society and Technological Change) The Greek philosophers were very much drawn to mathematics. They invented its generality, analyzed its premises, and made notable discoveries of theorems by a rigid adherence to deductive reasoning. Geometry became the basic instrument for measuring all things. (Weinkopf, http://www.perseus.tufts.edu/GreekScience/Students/Chris/GreekMath.html) Plato examined the difference between the untrustworthy and changing world of the senses and that of the permanent truths that could only be found through rational thought.
In this essay, published in 1738, Voltaire explains the philosophies of not only Newton, but in a large part Descartes because of his contributions in the fields of geometry. In Voltaire's concise explanation of Newton's and other philosophers' paradigms related in the fields of astronomy and physics, he employs geometry through diagrams and pictures and proves his statements with calculus. Voltaire in fact mentions that this essay is for the people who have the desire to teach themselves, and makes the intent of the book as a textbook. In 25 chapters, and every bit of 357 pages, as well as six pages of definitions, Voltaire explains Newton's discoveries in the field of optics, the rainbow spectrum and colors, musical notes, the Laws of Attraction, disproving the philosophy of Descarte's cause of gravity and structure of light, and proving Newton's new paradigm, or Philosophy as Voltaire would have called it. Voltaire in a sense created the idea that Newton's principles were a new philosophy and acknowledged the possibility for errors.
The Greeks brought a variety of great minds to life, including Thales of Miletus, Archimedes, Apollonius, Euclid, and Democritus. They began using logic to explore new mathematical concepts. Pythagoras of Samos was one of the foremost logical minds of this age. He is the inventor of abstract mathematics, and the founder of the “Pythagoras Theorem”. This theorem is still used today, in modern geometric equations The Hindu / Arabian Period (500A.D.
I know I did until researching how incredible mathematics can really be. This research project opened my eyes completely and allowed me to appreciate art and mathematics more. This topic fascinated me immensely and I got so much out of it that I only hope you will too once you view my presentation.
Some famous people who achieve the Greece mathematic were Thales, Pythagoras, Hippocrates, Theaetetus, Eudoxus, and, Euclid. They all help construct the basic fundamental that we practice in elementary and geometry. One of the famous scholar, Euclid was able to develop some of the first rules for algebra. If all of these people didn’t have a love or complicated relationship with math, none of what we do in school would exist. For about three centuries, these men and women were able to prove and open new theory to the ancient history of Greece mathematics.
Thales is often said to have been the first scientist, and the first Greek philosopher. He was an astronomer, merchant and mathematician, and after visiting Egypt he is said to have originated the science of deductive geometry. He also discovered theorems of elementary geometry and is said to have correctly predicted an eclipse of the sun. Many of his studies were in astronomy but he also observed static electricity. Phythogoras was a Greek philosopher.
It will be used in mathematics forever and it will be known around th... ... middle of paper ... ...oves and moved around in order to make important calculations. It is the same concept of an abacus, but there is the elimination of the use of string. This makes it a little less portable and easy to maneuver around. One thing that can be grasped from Greek mathematics is, that there have been several brilliant philosophers and mathematicians that have come out of ancient Greece. So many of the intelligent minds have come from Greek culture and it is interesting to notice how many of them come out of that central location.