Pythagoras Research Paper

The creations of Pythagoras were very powerful during the era in which he lived in. He created a community of followers (known as the Pythagoreans) who believed that mathematics was fundamental and ‘at the heart of reality’ (source 1). The people in the society were all proficient mathematicians took mathematics very seriously, to the extent that it was similar to a religion (source 1).

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

Sophocles was born around 496 B.C. In Athens, Greece. Due to the fact that his father was a wealthy merchant, Sophocles had an excellent education. He was elected twice to become a high ranking military officer. He then died around 406 B.C.

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

Hipparchus was a greek astronomer, geographer, and mathematician born 190 B.C. in Nicaea and died in 120 B.C. Rhodes, Rhodes, Greece. Hipparchus is accredited as the inventor of trigonometry because of his discovery of the first table of chords and also because he's the only person with valid data of the discovery and usage of trigonometry. In order to calculate the rising and setting of zodiacal signs, Hipparchus brought to light the division of circles into 360 degrees and the calculation of chords by looking at the triangles (spherical triangles or triangles that made up a circle) differently. Hipparchus experimented putting all triangles to be within a circle and with the three points each touching the

a2+b2=c2 is the famous theorem that Pythagoras discovered and named, calling it the Pythagorean Theorem. This theorem applies to the right triangle stating, that by adding the length of both legs squared you can then find the squared length of the hypotenuse. This theorem is set up in way that if you know two of the variables, whether it is a leg(b or a) and the hypotenuse (c) or both legs (a and b), you will always be able to find the third measurement. However, why does this theorem work? Why does a2+b2=c2? That is the question that is asked hundreds of times by thousands of people. The answer to it is not a complicated one, the reasoning behind that is because there are at least 367 Pythagorean Theorem proofs out there (Source four). They

Speaking of triangle’s Pythagoras’ most famous contribution to the world of mathematics, The Pythagorean Theorem was proved during this time period. Pythagoras did not create the Theorem, the creation is credited to the Babylonians and Indians, however Pythagoras was the first man to successfully prove the Theorem. The iconic equation looks like

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.

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

Sophocles was born about 496 BC in Colonus Hippius which is now a part of Athens, Greece, he was to become one of the great playwrights of the golden age. Sophocles was the son of Laius and Jocasta, both wealthy in the city that Sophocles grew up in. Luckily, He was the son of a wealthy merchant, he would enjoy all the perks of a successful Greek empire. Sophocles was provided with the best education which would help him in many ways in the future of his life.

In Famous scientist’s (2015) article Pythagoras it states that five 3D solids were brought into existence by Pythagoras and the Pythagoreans, these items are identical on all of the sides and today they are called dice. The ranged from four sides all the way up to twenty and later Plato believed they belonged to the five Greek elements including aether (n.pag). They said “Pythagoras believed that, like everything else, music was based on whole number ratios. He also believed in its healing properties.”(n.pag) He later would learn that music was controlled by rations, like if a sting is shortened by half it raises an octave or if it’s shortened two-thirds then it moved the pit up one-fifth discovering that octaves are split into fifths not halves (n.pag). Those are the biggest discoveries of Pythagoras and the Pythagoreans, but they still has many more different discoveries. He has been accredited with a lot for being an enigma, and having written no books in his life. Even so the thoughts from learning of this brilliant mathematician tickles the mind and creates great and wonderful thoughts and ideas for many people. Learning about all of this should inspire anyone to travel and learn the ways of other countries and customs and even grasp their mathematical

     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

Eratosthenes was born in 276 B.C. in a Greek colony in Cyrene, a country in North Africa better known in the present day as Libya. He raised by modest parents, his mother’s name is not known, and his father’s name could be one of two that have been discovered, Aglaos or Ambrosios. Even though they were modest parents, they were somehow able to have enough money for an education for their son. They would have had to own land that was worth at least 20 minas (type of Athenian currency), and his parents would have been free citizens. He was a typical, curious baby and as he grew older, he asked hundreds of questions that no one could answer. He was extremely interested in the sky, because it was something that he could not reach up and touch. He wondered how what the distance between the sun and earth was and what the sun was made of, why there was wind, and why the stars moved. Like most young Greek boys, when Eratosthenes was about six, he began to go to school in the local gymnasium, where he learned reading, writing, mathematics, poetry, music and physical education. He was very strong in math but geography was by far his favourite subject. In his early years, he was given the nickname Beta, the second letter of the Greek alphabet, because he never came in first place (taken by Archimedes). Later in life, he got the nickname Pentathlos. This word meant an athlete that participated in 5 sporting events or to describe someone who was good at a variety of different

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.