Worked sited: http://farside.ph.utexas.edu/euclid.html http://www.e271.net/~marina/euclid.html
Quotes from:
http://www-gap.dcs.st-and.ac.uk/~history/Biographies/Euclid.html
Euclid wrote a book with proofs still used today. Even though this was an early development in the math world it is sophisticated enough to still be taught today. This was one of the many mathematical breakthroughs that helped evolve Eurasia’s culture into a more complex, educated and diverse culture. Mathematicians were even able to roughly calculate the circumference of the Earth. This means they not only had the mathematical principles but also applied them . This shows the maturing of Math During the Hellenistic Age, as a result of Alexander's conquests. Not only was math affected, but mechanical sciences also improved the invention the steam engine occurred , and invention still used today to transport goods. This proves Alexander permanently changed Eurasia’s culture regarding mechanical sciences. All of this evidence proves that Alexander’s rule has a long lasting impact on society…
He was also a pioneer of math and geometry in particular, we only know this because of citations in other writing since most of his work did not survive the Middle Ages. His theory of matter, commonly called atomism was a reaction to Parmenides, who denied the existence of motion. Parmenides quarreled that the existence of a thing suggests that it could not have come to be because nothing comes from nothing. He also argued that movement was impossible, because one must move into what he called “the void” and (he identified “the void” with nothing or empty space) the void does not exist and cannot be moved into.…
Descartes was responsible for the mathematical principle of Cartesian Coordinates. In this principle, Descartes explained that within a standard x and y plane, there are infinitely many coordinates in regards to the x and y axis. This principle led Descartes to his next principle, Cartesian Geometry. Cartesian Geometry showed the merging of algebra and geometry. Within this merge, geometric shapes could be explained by using algebraic expressions. Finally, Descartes came up with the theorem of "Discourse on Method". This theorem tied all of his previous mathematical findings in one. The "Discourse on Method" theorem combined mathematics and philosophy into a series of arguments and…
Plato was a famous Greek philosopher and mathematician from Athens that is now well known throughout the world. He lived from 427 B.C.E. to 347 B.C.E. He’s famously known for being Socrates’ student and the teacher of Aristotle. He has many writings that explored justice, beauty, and equality as well as containing discussions in aesthetics, political philosophy, theology, cosmology, epistemology, and the philosophy of language. His writings were highly influenced by Socrates as he would convey and expand on the ideas and techniques of his teacher. Plato founded the Academy which was the first institution of higher learning in the Western World and offered subjects like astronomy, biology, mathematics, political theory, and philosophy. Plato…
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.…
The ancient Greek mathematician Euclid influenced mathematics in a large way after developing the Pythagorean theorem. His theorem (written around 300 B.C.) stated that “If two straight lines cut one another, the vertical, or opposite, angles shall be the same” (Doc. 5). Euclid wrote this theorem to set a base rule to help find the sum of the angles of a triangle. The Pythagorean theorem is still used today in mathematics thanks to Euclid’s contribution to society.…
The name of our mathematician is Aristotle, he was born in 384 BCE at Stagirus, a Greek colony that is now extinct near the seaport on the coast of Thrace. He was the son of Phaestis and Nichomachus, who was a court physician to the King Amyntas of Macedonia. Many people claim this is where Aristotle got influenced to become part of the Macedamian Court system, although is has not yet been proving plenty of experts agree this is where it all began. While he was around the age of 7 his father and mother died and he became under the care of Proxenus of Arteneus, this was his sisters husband.…
Archimedes is universally acknowledged to be the greatest of ancient mathematicians. He studied at Euclid's school (probably after Euclid's death), but his work far surpassed the works of Euclid. His achievements are particularly impressive given the lack of good mathematical notation in his day. His proofs are noted not only for brilliance but for unequalled clarity, with a modern biographer (Heath) describing Archimedes' treatises as "without exception monuments of mathematical exposition. Archimedes made advances in number theory, algebra, and analysis, but is most renowned for his many theorems of plane and solid geometry. He was first to prove Heron's formula for the area of a triangle.…
“Euclid.” Wikipedia: The Free Encyclopedia. Wikimedia Foundation, Inc., 10 June 2013. Web. 7 July 2013.…
Johann Bolyai attempted to derive the parallel postulate. Also unsuccessful in trying to prove what Euclid did in the past, found himself in a whole new path of math.…
Greek mathematicians from the 7th Century BC, such as Pythagoras and Euclid are the reasons for our fundamental understanding of mathematic science today. Adopting elements of mathematics from both the Egyptians and the Babylonians while researching and added their own works has lead to important theories and formulas used for all modern mathematics and science.…
He invented machines to protect Syracuse, pulley systems, the Archimedean screw, the planetariums and Archimedes mirror. The Archimedes mirror is also called the Death Ray and is supposed to have caught passing Roman ships on fire during the war and was one of the projects on Mythbusters. He was important because he invented a system of how to measure the volume and density of an object with irregular shapes, especially the sphere. This was important in helping the king find out if his gold crown was real or not. Archimedes was in the bathtub and noticed that his body changed how much water was in the tub based on his body size. This is called the Archimedes Principle. He also mathematically explained how levers work. Archimedes is considered the father of integral calculus and mathematical physics. He also calculated a better definition of…
Greeks such as Socrates, Plato, and Aristotle created mathematics and geometry. These discoveries are incorporated in almost everything we use today for example, how something is made or how we cook.…
At one point, the Greeks strongly believed that the numeral one was a unit not a number. Mathematics has evolved on a large scale to suit our lives today. Mathematics has also branched out to different sub-sections such as calculus, geometry, trigonometry and algebra. Who was Pythagoras?…
Pythagoras was a very significant person in the history of the world. He was a man who was not content with accepting things as they are. He needed explanations and reasons. Pythagoras was an ancient Greek mathematician and philosopher. Pythagoras was responsible for important developments in the history of mathematics, astronomy, and the theory of music.…