Pythagoras Research Paper

Being one of the greatest philosophers of his time, Pythagoras created a society of skilled mathematicians who worked together to facilitate mathematics, showed how numbers can be independent, and proved the Pythagorean theorem, making him iconic in mathematics today. His discoveries of simple yet essential methods are prevalent today throughout many mathematical fields in which they are treasured.

Pythagoras made influential contributions to philosophy and religion in the late 6th century BC. He is often revered as a great mathematician and scientist and is best known for the Pythagorean theorem which relates the two sides of a triangle to the hypotenuse using the formula a squared plus b squared equals c squared. However, because legend and obfuscation cloud his work even more than that of other pre-Socratic philosophers, one can give only a tentative account of his teachings, and some have questioned whether he contributed much to mathematics or natural philosophy. Many of the accomplishments credited to Pythagoras may actually have been accomplishments of his colleagues and successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were

Pythagoras was born in 570 BCE. at Samos, Ionia, a city located in Greece . His mother being Pythais and his father is Mnesarchus. Not much was known about him because of the lack of written information on him. Pythagoras received a good education during his childhood, such as reciting homer, learning poetry, and playing musical instruments. Scholars come to believe that he got his astronomy from Anaximander and his mathematical/geometry knowledge from Miletos. Overall his mentor was Thales, he was the one to encourage Pythagoras to continue his studies and travel to Egypt. He developed a strong belief in numbers/mathematics, astronomy, and philosophy.

Greek mathematical and scientific ideas have also been a large contribution. Euclid, a Greek mathematician, wrote many theorems. His theorems have been very substantial because they are included in today’s mathematical problems. One of his theorems include “If two straight lines cut one another, the vertical, or opposite, angles shall be equal.” This specific theorem is used in proofs and it proves that all vertical angles are equal. Hippocrates was a Greek physician who created the Hippocratic Oath. This oath

Mathematics, as it relates to the Greek era and the present time, had created and still creates a very new approach to the thoughts of the mechanics of nature. For instance, Pythagoras, the Greek mathematician and philosopher, believed the physical world would be explained by numbers. He used his theory of numbers and applied them to

Did you know that Pythagorean Theorem was actually created well before our generation’s time period? Yes, it seems that is pretty basic knowledge, but did you know it was actually created in B.C. and instead of A.D.? The brilliant mind to thank for such an achievement is the man who goes by the name Pythagoras. However the Pythagorean Theorem isn’t his only accomplishment, he was so advanced for his time, that he had many achievements. But to the best way to examine these accomplishments is to start at the beginning.

Plato is one of the greatest mathematicians and teachers of geometry to ever live. To some, he is known as the “maker of math.” He himself made an academy that stressed mathematics as a way of understanding reality. He founded this academy in 387 BCE. According to one website, “... he was convinced that geometry was the key to unlocking the secrets to the universe.” Plato had many contributions in mathematics and geometry that helped in the past and still help in the present.

The Greeks made several inventions, most notably in the subject of math, which are still studied today and taught in school. Mathematician Euclid is often credited as the “Father of Geometry” for all his work and studies in this subject, which are compiled in his books called The Elements. He organized known geometrical statements called theorems and logically proved all of them. He proved the theorem of Pythagoras (another Greek mathematician), which stated that the equation (c2 = a2 + b2) is true for every right triangle.

Anaximander was the first astronomer during his time. Anaximander believed that water was not the try reality. He thought if water was one true reality then the other 3 elements would be wiped out by it. Anaximander believed the ultimate reality is The Boundless. The boundless does not have a problem with opposing anything, which makes the boundless in everything. He believed the ultimate reality was unobservable and unspecific. So he determined the ultimate reality as unlimited or boundless. Anaximander also thought air was the life principle, air held all things together. Pythagoras was also a Pre- Socratic Philsopher from 570 BCE, he also had a different thinking of the ultimate reality. There is not a lot of imforamtion on Pythagoreas because he did not write anything about himself or about his beliefs. He may be known as the mand of science or a preacher of mystic of doctrines. Not much is known about about him but sources say he was from Samos. Pythagoreas was known as the greatest scientist during his time. He was Anaximanders disciple and followed his teacher teachings, He learns about aastrnomy from Anaxnimander and developed formulas like the pythagoreantherom. What he believed to be the ultimate reality was numbers. He believed reality is expressed in mathematical formulas. He tried to get away from the elements of physical life and only use numbers. In present day there are many laws that

A few things I found interesting when I watched “Donald In Mathmagic Land”, was an ancient Greek man named Pythagoras also known as the father of mathematics. He discovered many fundamental things such as fractions that helped him create a formula that soon became the basis to music with the help of his fraternity as well. A secret pentagram was used as a password entry to for their meetings in order for them to speak about their mathematical discoveries. I did not know that mathematics was essential in order to create music. Pythagoras also discovered the pentagram had many mathematical functions such as the golden section and many shapes. One of the shapes found within the pentagram was the golden rectangle which helped create famous sculptures,

Pythagoras contributed to our understanding of triangles, angles, areas, proportion, polygons, and polyhedra. Pythagoras also related music to mathematics so that's why he is also credited with the discovery that the intervals between the harmonious musical notes always have whole number ratios. For instance, playing half a length of a guitar string gives the same note as the open string, but an octave higher; a third of a length gives a different, but harmonious note; etc. He had long played the seven string lyre, and learned how harmonious the vibrating strings sounded when the lengths of the strings were proportional to whole numbers, such as 3:2, 2:1, 4:3. But Pythagoras intelligence not only came from him but with the help of his followers, so yeah it wasn't all truly all his work but he was for sure a good mathematician. Furthermore, in conclusion I feel like Pythagoras was an amazing mathematician for sure and his followers as well because though they did not get the credit for it they also were a great

Since the life of Pythagoras is greatly unknown, other than the fact that he was born in 570 BC, one can piece together the historical events which might have impacted his life and teachings. He lived during the Greek Archaic Period when the

There are many great philosophers in this world. Some of which are extremely well known and almost everyone knows their names like Socrates, Plato Aristotle Locke and so very many more. Pythagoras is a less known philosopher who had a lot of discoveries while leading a life in a secretive manner. He was an enigma and the leader of a religious sect cult who believed the universe to consist solely of whole numbers and their ratios. Pythagoras said "Do not talk a little on many subjects, but much on a few." Has one ever wondered where did he learn his vast knowledge of mathematics and religious aspects leading to the Pythagorean cult, or what was all of his discoveries besides

     Euclid of Alexandria was born in about 325 BC. He is the most prominent mathematician of antiquity best known for his dissertation on mathematics. He was able to create “The Elements” which included the composition of many other famous mathematicians together. He began exploring math because he felt that he needed to compile certain things and fix certain postulates and theorems. His book included, many of Eudoxus’ theorems, he perfected many of Theaetetus's theorems also. Much of Euclid’s background is very vague and unknown. It is unreliable to say whether some things about him are true, there are two types of extra information stated that scientists do not know

Euclid Of Alexandria may be the best-known mathematician of the world, he is best known for his work on mathematics The Elements. The fact that his work has survived so long, 2000 years in fact, is a tribute to his mathematical genius, however very little of him is known. Three theories abound as to the true nature of this historical figure. Not all historians agree that Euclid was in fact a historical figure, some argue that the school in Alexandria took up the name Euclid to publish their works. But the more accepted theories are that Euclid was in fact a real historical figure who may have been the leader of a team of mathematicians.