Pythagoras
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Unfortunately there are no known pictures of Pythagoras as he lived in the 6th century BCE and the Pythagoreans, the community he founded, did not allow images of their leader. While later traditions imagined what he may have looked like, historians cannot say with certainty. The information we have about his life and contributions comes primarily from written accounts by later authors.
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Pythagoras
Pythagoras was a Greek philosopher born in 570 BC on the island of Samos who greatly influenced Western thought. He believed that reality is best understood through mathematics and that the soul can achieve divine union. He made important contributions to astronomy by teaching that the Earth was spherical and located at the center of the universe, that the moon's orbit was inclined, and that Venus and the morning star were the same planet. Pythagoras also proposed the harmony of the spheres, where planetary motions produce sounds described by mathematics.
Pythagoras and Pythagorean theorem
Pythagoras was born in 570 BC in Samos, Greece. He studied in Egypt and Babylon before founding a school in Crotona, Italy around 518 BC where he taught mathematics, philosophy and developed theories on music and ethics. Pythagoras is best known for discovering the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. He died around 495 BC in Metapontum, Italy at around age 75.
Pythagoras
This document provides biographical information about Pythagoras, a Greek philosopher born in 569 BC who made important contributions to astronomy, music, religion, mathematics and philosophy. It describes his life and influences, daily routine, places he lived, and his belief that mathematics could be used to predict and measure patterns in the universe. The document also notes his famous Pythagorean Theorem of a2 + b2 = c2.
Pythagoras
Pythagoras was a 6th century BC Greek philosopher and mathematician who founded the Pythagorean Brotherhood. He traveled extensively and learned about mathematics from Egyptians and Babylonians. Pythagoras settled in Croton, Italy where he taught that numbers were fundamental to understanding the universe. While Pythagoras likely did not discover the Pythagorean theorem, he proved that it works and made important contributions to mathematics including irrational numbers and the four platonic solids.
Pythagoras
Pythagoras was born in 570 BC on the island of Samos in what is now Turkey. He traveled extensively in his youth to Egypt and India to study with various teachers. Pythagoras founded a school in Croton, Italy around 530 BC where he taught his beliefs that mathematics and music were deeply interconnected and could explain the order of the universe. He is most famous for the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, though he may not have discovered it himself. Pythagoras made important contributions to both music and astronomy.
Pythagoras
Pythagoras was a Greek philosopher born around 570 BCE in Samos, Greece. He made important contributions to mathematics, discovering the Pythagorean theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras founded a secretive religious brotherhood and believed that numbers and music could explain everything. He taught that the Earth was the center of the universe and noticed that Venus was the same star in the morning and evening. Pythagoras is believed to have died around 500 BCE.
Pythagoras
Pythagoras was an ancient Greek philosopher, mathematician, and founder of the Pythagorean movement. He was born in Samos, Greece in the 6th century BC and made important contributions to mathematics and philosophy. Some of his key ideas included the Pythagorean theorem, the concept of perfect numbers and ratios, and the idea that mathematics and numbers underlie all of reality. He founded a secretive religious movement based on these mathematical and philosophical principles that was influential for centuries.
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Pythagoras
Pythagoras was a Greek philosopher born in 570 BC on the island of Samos who greatly influenced Western thought. He believed that reality is best understood through mathematics and that the soul can achieve divine union. He made important contributions to astronomy by teaching that the Earth was spherical and located at the center of the universe, that the moon's orbit was inclined, and that Venus and the morning star were the same planet. Pythagoras also proposed the harmony of the spheres, where planetary motions produce sounds described by mathematics.
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Pythagoras was born in 570 BC in Samos, Greece. He studied in Egypt and Babylon before founding a school in Crotona, Italy around 518 BC where he taught mathematics, philosophy and developed theories on music and ethics. Pythagoras is best known for discovering the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. He died around 495 BC in Metapontum, Italy at around age 75.
Pythagoras
This document provides biographical information about Pythagoras, a Greek philosopher born in 569 BC who made important contributions to astronomy, music, religion, mathematics and philosophy. It describes his life and influences, daily routine, places he lived, and his belief that mathematics could be used to predict and measure patterns in the universe. The document also notes his famous Pythagorean Theorem of a2 + b2 = c2.
Pythagoras
Pythagoras was a 6th century BC Greek philosopher and mathematician who founded the Pythagorean Brotherhood. He traveled extensively and learned about mathematics from Egyptians and Babylonians. Pythagoras settled in Croton, Italy where he taught that numbers were fundamental to understanding the universe. While Pythagoras likely did not discover the Pythagorean theorem, he proved that it works and made important contributions to mathematics including irrational numbers and the four platonic solids.
Pythagoras
Pythagoras was born in 570 BC on the island of Samos in what is now Turkey. He traveled extensively in his youth to Egypt and India to study with various teachers. Pythagoras founded a school in Croton, Italy around 530 BC where he taught his beliefs that mathematics and music were deeply interconnected and could explain the order of the universe. He is most famous for the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, though he may not have discovered it himself. Pythagoras made important contributions to both music and astronomy.
Pythagoras
Pythagoras was a Greek philosopher born around 570 BCE in Samos, Greece. He made important contributions to mathematics, discovering the Pythagorean theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras founded a secretive religious brotherhood and believed that numbers and music could explain everything. He taught that the Earth was the center of the universe and noticed that Venus was the same star in the morning and evening. Pythagoras is believed to have died around 500 BCE.
Pythagoras
Pythagoras was an ancient Greek philosopher, mathematician, and founder of the Pythagorean movement. He was born in Samos, Greece in the 6th century BC and made important contributions to mathematics and philosophy. Some of his key ideas included the Pythagorean theorem, the concept of perfect numbers and ratios, and the idea that mathematics and numbers underlie all of reality. He founded a secretive religious movement based on these mathematical and philosophical principles that was influential for centuries.
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Pythagoras was an ancient Greek philosopher, mathematician and founder of the Pythagorean brotherhood in the 6th century BCE. He is most famous for discovering mathematical theorems like the Pythagorean theorem about right triangles and the relationship between their sides. Pythagoras taught his followers at a school in Croton, Italy where they lived communally and ascetically. His teachings included the transmigration of souls and the idea that the planets and their motions produce a universal harmony, though some ideas may have been developed later by followers. Conflict arose after a political victory and Pythagorean meeting places were burned, leading to Pythagoras' possible death or escape to another city.
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The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the two legs. There are many different proofs of this theorem, including algebraic proofs using similarity, geometric proofs comparing areas, and vector-based proofs. Pythagoras was a famous Greek mathematician and philosopher from Samos in the 6th century BC who is credited with discovering or proving the Pythagorean theorem, though some of his accomplishments may have been made by his colleagues or successors.
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A Brief Biography Of Pythagoras
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A Brief Biography of Pythagoras
Introduction Over the course of time, mankind has always questioned the world around him. While most people did not think much of the unknown things around them, there were certain men who decided to try to find the answers to everything that did not make sense. These men were known as philosophers, or people who devoted their lives to studying everything around them. One famous philosopher was a mathematician named Pythagoras. This philosopher was mainly known for his equation for triangles, also known as the Pythagorean Theorem, although he was known for other mathematical and religious contributions as well.
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A Brief Biography Of Pythagoras
Pythagoras was a famous Greek philosopher and mathematician born around 569 BC on the island of Samos. He received an early education on Samos but left in 535 BC to study mathematics and geometry in Egypt after a tyrant came to power on the island. However, Egypt was later invaded and Pythagoras was taken prisoner to Babylon where he continued his studies. After being freed, he traveled and founded a religious community in Croton, Italy where he taught his beliefs that mathematics governed the universe and the soul was immortal.
Pythagorus
Pythagoras was a Greek mathematician and philosopher who is best known for developing the Pythagorean theorem. He founded a school in Croton, Italy where he taught mathematics and proved the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Though he did not discover the theorem, he helped popularize it. Plato was influenced by Pythagoras' work and studied his writings.
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Hipasus of Metapontum was a 6th century BC Greek mathematician, music theorist, and philosopher who was originally a member of the Pythagorean brotherhood but was expelled for discovering irrational numbers, revealing that not all numbers are rational. He made important discoveries in mathematics including constructing dodecahedrons and discovering the square root of 2 and irrational numbers. The circumstances of his death are uncertain, with theories that he either killed himself, was killed by other Pythagoreans, or died in a shipwreck.
Plato and mathematics
Plato was a Greek philosopher born around 427 BCE who established an influential school called the Academy. He was greatly influenced by his teacher Socrates and wrote philosophical dialogues featuring Socrates discussing various topics. Plato believed that true knowledge came from comprehending abstract forms rather than material things perceived by the senses. He developed theories about mathematics being essential for understanding reality's highest forms. Pythagoras, who lived in the 6th century BCE, heavily influenced Plato and believed that numbers expressed the essence of all things.
Pre socratic
This document provides information on several pre-Socratic philosophers including Zeno of Elea, Parmenides, Heraclitus, Thales of Miletus, Pythagoras, Anaximander, and Anaximenes. It summarizes their key ideas and contributions to early philosophy and science prior to Socrates. These philosophers were among the first to attempt natural explanations for phenomena rather than relying on mythology. They engaged in metaphysical and scientific speculation about topics like the origin and nature of the physical world.
ΠΥΘΑΓΟΡΑΣ
Pythagoras was a Greek philosopher born around 582 BC in Samos, Greece. He founded the Pythagorean cult based on religious, political, and philosophical beliefs, including the concept of reincarnation. Some of Pythagoras' key discoveries included the Pythagorean theorem, that the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle, and that numbers could be irrational. He made important contributions to mathematics, music, and astronomy before his death in 520 BC, though the circumstances of his death are unknown.
Mathematician timeline
The document provides a timeline of important mathematicians from Thales of Miletus in the 7th-6th century BC to Srinivasa Ramanujan in the early 20th century. It notes some of their key accomplishments, such as Thales of Miletus using geometry to measure heights and distances and being regarded as the first philosopher in the Greek tradition, and Pythagoras traveling widely seeking knowledge and influencing Plato. It also includes Euclid, Archimedes, Kepler, Newton, Gauss, and Einstein as major figures in the development of mathematics over the centuries.
Pythagoras
Pythagoras was born in Samos in the 6th century BC and received an education in mathematics, science, and philosophy from teachers like Thales and Anaximander. He traveled widely, spending time in Egypt, Babylon, and other places to further his learning. Pythagoras eventually settled in Croton, where he founded a religious community called the Brotherhood and made several important mathematical discoveries with his followers, including the Pythagorean theorem and theory of proportions. However, political conflicts arose and the Brotherhood was destroyed, possibly leading to Pythagoras' death. His work influenced later philosophers like Plato and established Pythagoreanism as an important tradition of thought.
Legacy of classical Greece
Greek history and culture was significantly shaped by conflicts with the Persian Empire in the 5th century BC. The Greeks were able to defeat the Persian invasions thanks to the military prowess of the Spartans on land and the Athenians at sea. This allowed Greek civilization, including democracy, to flourish. Later, Alexander the Great expanded Greek influence throughout Asia and North Africa through his military conquests. Ancient Greek achievements in many fields including architecture, art, philosophy, science, and mathematics had enduring impacts and influenced Western civilization.
Neethu 333 (1) (1)
Pythagoras was a Greek mathematician and philosopher born around 572 BC. He spent over 20 years traveling and educating himself in Egypt and Babylon before settling in Crotona, Italy, where he formed an exclusive society called the Pythagoreans devoted to mathematics. The Pythagoreans made contributions in many fields including music and medicine. Pythagoras is best known for deriving the proof of the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides. He made other contributions such as connecting numbers and geometry and bringing philosophy and mathematics together.
Pythagoras
Pythagoras was a Greek mathematician born in 570 BC on the island of Samos. He traveled extensively in his youth to Egypt and Babylon to further his education. Pythagoras founded a school in Crotona, Italy called the Pythagorean school around 530 BC, where he taught his theories and beliefs. He is most famous for discovering the Pythagorean theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Pythagoras also believed in the transmigration of souls and was a vegetarian. He died around 495 BC leaving behind many mathematical and philosophical contributions.
Plato: Books, Life, and Philosophy
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Archimedes
Archimedes was a famous Greek mathematician and scientist who lived in Syracuse, Sicily from around 287 BC to 212 BC. He died during the Roman siege of Syracuse when he was killed by Roman soldiers despite orders not to harm him. Archimedes was related to the tyrant who ruled Syracuse and known for his work in geometry and science.
Socrates
Socrates was a Greek philosopher born in 469 BC in Athens, Greece who is known for questioning beliefs and encouraging critical thinking. He died in 399 BC after being prosecuted and sentenced to death by poisoning himself with hemlock.
Alexander the Great
Alexander the Great was born in 356 BC in Pella, Macedonia. He became the king of Macedonia after his father's death and went on to conquer the vast Persian Empire. Considered a military genius, Alexander the Great established one of the largest empires in ancient history before his death in 323 BC, possibly due to poisoning.
Scurve
Teachers currently prefer using paper student portfolios over digital portfolios due to a lack of training on digital portfolios, slow implementation by school districts, and higher costs of digital options. However, digital portfolios are increasing in use as technology in classrooms becomes more common. Teachers are interested in digital portfolios for organized storage and linking them to electronic gradebooks that can be shared with parents.
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- 1. PYTHAGORAS By Khalia Knighton and Joy’cari Walker
- 2. PYTHAGORAS ythagoras, one of the most famous and controversial ancient Greek philosophers, lived from ca. 570 to ca. 490 BCE. He spent his early years on the island of Samos, off the coast of modern Turkey. At the age of forty, however, he emigrated to the city of Croton in southern Italy and most of his philosophical activity occurred there. Pythagoras wrote nothing, nor were there any detailed accounts of his thought written by contemporaries. By the first centuries BCE, moreover, it became fashionable to present Pythagoras in a largely unhistorical fashion as a semi-divine figure, who originated all that was true in the Greek philosophical tradition, including many of Plato's and Aristotle's mature ideas
- 4. PYYTHAGORAS’S BIRTH Pythagoras of Samos is often described as the first pure mathematician. He is an extremely important figure in the development of mathematics yet we know relatively little about his mathematical achievements. Unlike many later Greek mathematicians, where at least we have some of the books which they wrote, we have nothing of Pythagoras's writings. The society which he led, half religious and half scientific, followed a code of secrecy which certainly means that today Pythagoras is a mysterious figure.
- 5. PYTHGORAS BIRTH orn: about 569 BC in Samos, Ionia ied: about 475 BC
- 6. WHERE HE LIVED In Samos in Greece from approximately 580 to 500
- 7. FAMOUS CONTRIBUTIONS he Pythagorean Theorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. Pythagoras founded the Pythagorean School of Mathematics in Cortona, a Greek seaport in Southern Italy. He is credited with many contributions to mathematics although some of them may have actually been the work of his students.