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Pythagoras was an Ionian Greek philosopher, mathematician. Pythagoras made influential contributions
to philosophy and rel...
Pythagoras of Samos was a Greek mathematician and
philosopher (570 – 495 BC). He is known for the proof of
the important P...
 Pythagoras spent most of his early childhood at Samos. At
first, he studied from the scholars of Syria.
 His meeting wi...
 The Pythagoreans, as the followers of Pythagoras were called.
They lived and worked at the school.
 Like most geniuses,...
 He believed that everything could be reduced to numbers and these numbers had their own
characteristics.
 To him 10 was...
i.e.
The two large squares shown in the figure each
contain four identical triangles, and the only
difference between the two l...
The Pythagorean theorem occurs in the following:
 In Engineering Calculations
 In Oceanography (determining speed of sou...
Though the idea of triplet was primarily given by Pythagoras, the idea and mathematical generation
of triplets was given b...
AN EXAMPLE OF PYTHAGORAS TETRACTYS
HAVING 10 DOT STRUCTURE
The tetractys occurs (generally coincidentally) in the following:
 The baryon decuplet
 An archbishop's coat of arms
 T...
© Rohan Karmakar (original)
Pythagoras and His works
Pythagoras and His works
Pythagoras and His works
Pythagoras and His works
Pythagoras and His works
Pythagoras and His works
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Pythagoras was a Greek mathematician who contributed much to the mathematical world, mainly because of Pythagorean Theorem. The following PPT contains all the necessary information about Pythagoras's early and later life, as well as about his works and explanations.(If you find the fonts a little weird, its not my fault as Slideshare doesn't supports many fonts)

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Pythagoras and His works

  1. 1. Pythagoras was an Ionian Greek philosopher, mathematician. 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 bears his
  2. 2. Pythagoras of Samos was a Greek mathematician and philosopher (570 – 495 BC). He is known for the proof of the important Pythagorean theorem. He had a great impact on mathematics, theory of music and astronomy. He was an influence for Plato. PYTHAGORAS DEPICTING HIS TETRACTYS
  3. 3.  Pythagoras spent most of his early childhood at Samos. At first, he studied from the scholars of Syria.  His meeting with Thales elicited in him an interest in science, mathematics and astronomy.  He then went to Babylon and began to study mathematics. PYTHAGORAS DURING HIS EARLY LIFE
  4. 4.  The Pythagoreans, as the followers of Pythagoras were called. They lived and worked at the school.  Like most geniuses, Pythagoras too created many enemies. One of them instigated the mob against the Pythagoreans and set fire to the building where they were staying. However, Pythagoras was able to escape. He then went to Metapontum and starved himself to death PYTHAGORAS IN HIS SCHOOL
  5. 5.  He believed that everything could be reduced to numbers and these numbers had their own characteristics.  To him 10 was the most complete number because it was made up of the first 4 digits and when written in dot notation, they formed a triangle.  He also believed geometry to be the highest form of mathematical studies through which one can explain the physical world.
  6. 6. i.e.
  7. 7. The two large squares shown in the figure each contain four identical triangles, and the only difference between the two large squares is that the triangles are arranged differently. Therefore, the white space within each of the two large squares must have equal area. Equating the area of the white space yields the Pythagorean theorem.
  8. 8. The Pythagorean theorem occurs in the following:  In Engineering Calculations  In Oceanography (determining speed of sound in water and related uses)  It is also used in aerospace industry.  It is also used in meteorology and geology.
  9. 9. Though the idea of triplet was primarily given by Pythagoras, the idea and mathematical generation of triplets was given by Euclid.  Euclid's formula is a fundamental formula for generating Pythagorean triples given an arbitrary pair of integers m and n with 𝒎 > 𝒏 > 𝟎. The formula states that the integers. 𝒂 = 𝒎 𝟐 − 𝒏 𝟐 𝒃 = 𝟐𝒎𝒏 𝒄 = 𝒎 𝟐 + 𝒏 𝟐 form a Pythagorean triple. The triple generated by Euclid's formula is primitive if and only if m and n are coprime and not both odd.
  10. 10. AN EXAMPLE OF PYTHAGORAS TETRACTYS HAVING 10 DOT STRUCTURE
  11. 11. The tetractys occurs (generally coincidentally) in the following:  The baryon decuplet  An archbishop's coat of arms  The arrangement of pins in ten-pin bowling  A Chinese checkers board  The "Christmas Tree" formation in association football
  12. 12. © Rohan Karmakar (original)
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Pythagoras was a Greek mathematician who contributed much to the mathematical world, mainly because of Pythagorean Theorem. The following PPT contains all the necessary information about Pythagoras's early and later life, as well as about his works and explanations.(If you find the fonts a little weird, its not my fault as Slideshare doesn't supports many fonts)

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