blog




  • Essay / Pythagoras and his countless discoveries

    Pythagoras was born in 569 BCE on the island of Samos. As a child, Pythagoras had 2 or 3 brothers. He and his brothers learned to recite poetry, recite Homer, and play the lyre. He was raised with his mother, Pythias, and father, Mnesarchus. Often he went on business trips with his father where he received teachings from scholars. With these scientists, he learned geometry and cosmology. Some scholars claim that Mnesarchus once took him to Tyre, where he studied under Syrian scholars. They also suggest that they may have moved to Italy during these years. At the same time, Pythagoras studied with many other teachers. He also studied with many sages in Chaldea. Additionally, Pherecydes of Syros was someone under whom he studied philosophy. Additionally, he studied with the philosopher Thales and his student Anaximander. Later in his life, his astronomical and geometric discoveries developed from Thale's theories. Say no to plagiarism. Get a custom essay on “Why Violent Video Games Should Not Be Banned”?Get the original essay 34 years after his birth, Pythagoras went to Egypt to study with priests. Some say he did this to escape the tyranny of Polycrates, the ruler of Samos. The Egyptian priest Oenuphis is also believed to have studied with him for some years. For 10 years he stayed here. Eventually he was admitted to the priesthood. In 525 BCE, Persia invaded Egypt and Pythagoras was taken prisoner and taken to Babylon. Here he learned with the Bablyonians that the treatment of a typical prisoner was different. He later escaped and returned to Samos. In Samos, he founded a school called the Semi-Circle. A group of travelers from his island were killed. Later, people from this same country came. Pythagoras pleaded with the rulers of his island and they listened to him. This upset many politicians and earned him many enemies. In just 500 BCE his school was attacked. Buildings were set on fire, killing many of his disciples and students known as the Pythagoreans. Some say that Pythagoras would not step on plants even if his life was at stake because he believed that all living things had souls. After a few years, he left for Crete to continue his studies. In addition, he founded another one here. He also worked with a secret group discussing mathematics, philosophy, metaphysics and religion. They believed that a soul was immortal and could not be harmed. Furthermore, Pythagoras urged following a code of conduct that all Pythagoreans followed. The Pythagoreans all wore simple linen clothing. They were not allowed to urinate in public. Additionally, they were encouraged to have children and reject wealthy possessions. Pythagoras focused his rules on everyday life. Additionally, they were known to remain silent. New members of society should remain silent for 5 years. This was due to their code of not wanting to talk about their findings. He then returned to Samos and rebuilt his school, the Semi-Circle, which had burned down earlier. He then shared his mathematical and philosophical discoveries with his students. Pythagoras is known for his countless discoveries. One of them is the platonic solids. The five platonic solids are the tetrahedron (4 triangles), the cube (6 squares), the octahedron (8 triangles), the dodecahedron (12 pentagons), the icosahedron (20 triangles). They are the only polyhedra, three-dimensional solids having the same regular polygon as sides. During Pythagoras' lifetime, he constructed the first 3 platonic solids. Additionally, Pythagoras is known to designate even and odd numbers. He called themasculine odd numbers and feminine even numbers. Pythagoras also gave characteristics to many other numbers. For example, he defines what would become modulo, a mathematical concept commonly used today. He defined a remainder system that is also used today. He also defined square numbers. Furthermore, he defined tetraktys as the sum of the numbers 1 to n. For example, the third tetrakyte is 1 + 2 + 3 = 6. Today they are called triangular numbers. They areIt is for this reason that it is considered a special number. Indeed, the tetraktys represented the number of points necessary to define the universe. The first 2 draw a line, add a third point and the line becomes two-dimensional. Adding a fourth point which is not on the plane of the first 3 gives a 3-dimensional figure. Today, scientists have used this information to develop higher dimensions. Scientists believe the universe may have more than 3 dimensions. One of Pythagoras' most profound and well-known discoveries is the Pythagorean Theorem. Although he could not prove it, he discovered that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse of a triangle. To straighten this out as an equation, we make the legs of the right triangle have lengths a and b and the hypotenuse has a side length of c. The simple geometric formula is one of the main foundations of mathematics and Euclidean geometry. This formula was not proven until the time of Euclid. Some say it was actually discovered by the Egyptians and that Pythagoras just popularized the formula and showed a use case for it. This remarkable discovery led to another conspiracy. At the time, they thought that all lengths could be expressed as an a:b ratio. The Pythagorean theorem showed that this was not necessarily true. This value cannot be expressed as a ratio. This contradicts the beliefs of all Pythagoreans. Today we know that lengths are either rational or irrational. Pythagoras' discoveries were not limited to mathematics. He also made numerous discoveries in music and cosmology. For example, he discovered that the planets are spherical. He discovered that due to gravity, matter was grouped together to form almost a sphere. He calculated that there were 9 planets and claimed that there was another one directly opposite Earth that was not visible in order to get a total of 10 planets, a perfect number at the time. These discoveries laid the foundations of current cosmology. His belief in a 10th planet was later proven false. He also discovered that music is made up of ratios. A ratio of 1:2 makes one octave. A ratio of 3:2 produces a fifth and a ratio of 4:3 produces a quarter. The ratio of the length of the held string to the length of the total string determines the pitch of the music. Today, musical instruments use this principle to create different sounds. The cause of Pythagoras' death is unknown. Some say it's because of a raid that burned down his school. Others say he was killed by an angry mob. Others say he was caught up in the war between Agrigento and the Syracusans and killed them. Regardless, his legacy is enduring. I really love mathematics and without Pythagoras, more than half of mathematical discoveries would not exist. Additionally, he provided assistance with many fundamental principles of cosmology and philosophy. His legacy is enduring and will never be forgotten. Additionally, the Pythagoreans continued to., 2009.