Pythagoras Research Paper

Improved Essays
Pythagoras of Samos was born around 570 BC on the island Samos in Greece. Little to no records or documents were written during his life, creating controversy and lack of reliable biographical information. Through the writings of students and followers of Pythagoras, historians have been able to create some understanding of his early life. Pythagoras is said to be the son of Mnesarchus and Pythais. He was raised on a small island off the coast of present day Turkey. His father being a merchant brought Pythagoras on his travels and journeys. At a young age Pythagoras learned many things and soon become educated and smart. Also Pythagoras developed a love for poetry and learned many of Homers poems. In 535 BC, Pythagoras left Samos due to the …show more content…
Pythagoras was excepted into the temple of Diospolis where he became a priest and performed rituals. He adapted many of the religious traditions and rules of the temple such as not eating beans or wearing animal skins. Here in Egypt Pythagoras was taught many of the math and geometry that makes him so famous today. When Persia invaded Egypt in 525 BC, Pythagoras fled and moved back to Greece and Samos. From there he studied law in Crete and later opened his own school in Croton. This school prospered and here he gained many students and followers. He developed many math and musical theories at this school and even created a philosophical group called Pythagoreans. At this school it is said to have been the first to use the words mathematics and …show more content…
Many of Pythagoras’s philosophical ideas can be seen in other philosophers such as Pluto. But his contribution to math is like no other. When Pythagoras finally settled down and formed his own group of people they started forming many different theories. Him and his followers formed the simple ideas of even and odd numbers. Off these basic principles they were able to discover many other truths of numbers. Pythagoras came across his next mathematical discovery through a problem. He discovered irrational number which today is known as the first crisis in math. Also Pythagoras was the first to decide that ten was the perfect number because of all of its unique features. Pythagoras also benefited geometry greatly. Pythagoras’s society is credited of being the first to use axiomatic systems. Pythagoreans created these small but important concepts by showing that small laws of empirical geometry could be proved as logical answers by a small number of axioms, or postulates. One of these rules or axioms is a straight line is the shortest distance between two points. These axioms were basic provable geometry rules that Pythagoras discovered. Without these basic axioms geometry would not be in existence. From these axioms, a number of theorems about the properties of points, lines, angles, curves, and planes were then created. These theorems include the famous Pythagorean theorem, which states that "the square of the

Related Documents

  • Improved Essays

    His methods anticipated the integral calculus 2,000 years before Newton and Leibniz. He introduced the concept of Pi . Archimedes also produced formulas to calculate the areas of regular shapes, using a revolutionary method of capturing new shapes by using pre-existing shapes.…

    • 730 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Greek Contributions Dbq

    • 617 Words
    • 3 Pages

    Euclid, a very famous mathematician, composed a book of his findings called Elements. This book was written in about 300 B.C.E. and his ideas were a starting point in the field of geometry, which is studied around the world today. One of the many theorems in this book was "If two straight lines cut one another, the vertical, or opposite, angles shall be equal" (Document 5). Another famous mathematician named Pythagoras has also donated many ideas into the mathematics of geometry. One of his most famous theorems includes the Pythagorean Theorem.…

    • 617 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Imhotep's Accomplishments

    • 407 Words
    • 2 Pages

    The Greek mathematician and philosopher Pythagoras (c. 580-c. 500 B.C.) is one of the few figures in ancient times, or indeed in any age, who warrants comparison to the extraordinary Imhotep. Although he is best known for his famous geometrical theorem, his accomplishments ranged far beyond mathematics and involved areas as diverse as music, politics, and religion. Like Imhotep, he was a figure larger than life. Some historians suggest that he never really lived; in fact it appears highly likely that he did live some time during the 500s B.C. (Imhotep was only a bit less ancient to Pythagoras than Pythagoras is to modern people.)…

    • 407 Words
    • 2 Pages
    Improved Essays
  • Improved Essays

    The first thinker was a french philosopher Mr.Rene Descarte. So because of him today we do math and science. Well more of a big part of math. He was also a scientist who revoltioized algebra and geometry. He advancement in scientific and mathematical.…

    • 507 Words
    • 3 Pages
    Improved Essays
  • Decent Essays

    And how did she discover she wanted to become a mathematician? Hypatia is the daughter of Theon of Alexandria who was also a mathematician and an astronomer. Hypatia clearly took after her father and became a mathematician and an astronomer but, she also became a philosopher. Theon of Alexandria played in preservation of Euclid’s Elements, he also did commentaries on the Ptolemy’s Almagest and Handy Tables. Hypatia continued her fathers program which was to make effort to preserve the Greek mathematical and astronomical heritage which was credited with commentaries on Apollonius of Pergas conics which was geometry.…

    • 381 Words
    • 2 Pages
    Decent Essays
  • Improved Essays

    In mathematics, Eratosthenes calculated the Earth’s circumference by measuring the shadow of different points in Syene and in Alexandria. He then compared those points to find the circumference of Earth which was nearly correct. He concluded the distance between Syene to Alexandria, the angle of elevation of the Sun, and these factors came together to help him conclude the circumference of Earth (Crystal). Another contribution Eratosthenes had in mathematics was his method that finds prime numbers called Sieve of Eratosthenes. This method helps with a way to find all prime number up to a specific integer (Torretti).…

    • 829 Words
    • 4 Pages
    Improved Essays
  • Improved Essays

    Archimedes Research Paper

    • 691 Words
    • 3 Pages

    He created the Archimedes screw, the Archimedes principal, and the odometer. He also discovered many new formulas. He discovered how to find the volume of an irregular object, the area of a circle, the surface area of a sphere, the area under a parabola, and approximated the value of pi. He also invented the pulley, fulcrum, and lever. He made many inventions for the king to help protect the city.…

    • 691 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    The history of Calculus can be traced back as early as the 5th Century B.C.E. in Ancient Greece. The first major discovery was made by a Greek scholar named Hippasus. Not much is known about this philosopher who studied under Pythagoras; but, he has sometimes been credited with the discovery of irrational numbers. \begin{center} \includegraphics[width = 6 cm]{triangle.png} \end{center} He described his reasoning as: \begin{enumerate} \item Start with an isosceles right triangle with side lengths of integers a, b, and c.…

    • 1412 Words
    • 6 Pages
    Improved Essays
  • Improved Essays

    Alexagoras Research Paper

    • 529 Words
    • 3 Pages

    Did you ever wonder who was one of the smartest philosophers of all time? Well, this is an essay about the person who did that Anaxagoras. First I’m going to tell you about some of his childhood, second I’ll tell you about how he trained/educated his students in Athens, Then I’ll tell you about his legacy and his beliefs, lastly I’ll tell you about some random facts about Anaxagoras, and how he was one of the best philosophers in Athens. Anaxagoras was born in Clazomenae Anatolia (Now know as Turkey) in 500 bce.…

    • 529 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Archimedes was born in Syracuse, Sicily in 287 B.C and died in 212 B.C he was a greek inventor, mathematician, engineer, and astronomer his work is very beneficial to us still in the 21st century. Throughout his life most of his work include his mathematician works and physics. As a child Archimedes developed curiosity and became penchant for problem solving. After learning all that he could from his teachers in Syracuse he moved to Alexandria,Egypt and went to a school in which it was founded by Alexander The Great in 331 B.C Alexandria had a reputation for great learning.…

    • 649 Words
    • 3 Pages
    Improved Essays
  • Improved Essays

    Pythagoras Research Paper

    • 779 Words
    • 4 Pages

    The Pythagorean theorem has helped many mathematicians and others and will continue to help out for many years to come. Pythagoras did much more than just contribute the Pythagorean theorem to mathematicians. He also introduced irrational numbers, which many believe that this was done by his students rather than him. They believe this because Pythagoras believed that numbers were supposed to be able to be put into ratios. He also introduced the construction figures of a given area and geometrical algebra.…

    • 779 Words
    • 4 Pages
    Improved Essays
  • Great Essays

    For the Pythagoreans, abstract ideas are represented by numbers. For example, 4 could…

    • 1559 Words
    • 7 Pages
    Great Essays
  • Decent Essays

    There are many famous and influential mathematicians that have done many wondrous and extraordinary things, some of these range it Einstein, newton and to pascal. But one interesting one in particular is Pythagoras. Pythagoras is one of the many famous mathematicians that has lived on the earth. What he did in math helped shape math to what it is today. Some things he did was learn math and science as much as he could, create the useful Pythagoreanism, and help progress the advancement of mathematics.…

    • 476 Words
    • 2 Pages
    Decent Essays
  • Improved Essays

    Donald Duck Analysis

    • 772 Words
    • 4 Pages

    Going on this journey through time back to ancient greece will show the viewer just exactly how important it is to understand the world of mathematics and how the world never would have evolved into what we have today unless somebody acknowledged the existence of math and used its power to educate the rest of the world and show its wonderful powers…

    • 772 Words
    • 4 Pages
    Improved Essays
  • Improved Essays

    The extent of Plato’s knowledge of mathematics is made apparent through his use of the subject within his written works. In Ion, an early dialog of Plato 's, Socrates uses analogical argument to get his point across. The thing that makes these arguments suitable for this paper is that they heavily rely on mathematics for the source of the example (Roochnik, p. 548). In Elenchus and Mathematics: A Turning-Point in Plato 's Philosophical Development, Vlastos gives a translated version of a section of Plato 's Meno: By 'investigating from a hypothesis ' I refer to the way the geometricians frequently investigate.…

    • 767 Words
    • 4 Pages
    Improved Essays