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z
z
 He was born on the Greek island
of Samos around 582 BC and
died in Mesopotamia around 496
BC
 He’s often portrayed as the firt
„real” mathematician
 Pythagoras is a very important
person who contributed to the
development of mathematics,
although in essence we know very
little about his mathematical work
 A studend of Thales
z
Pythagorean school
 Pythagoreans are people who study and follow
Pythagoras teachings
 After leaving his home island of Samos,
Pythagoras founded a school in the southern
Italian city of Crotone
 The school almost had a character of some kind
of religious sect, which had strict rules about the
lifestyle, diet and dresscode and required an
obligation to study mathematics, music and
medical skills
• Pythagoras himself was credited with discovering
secret numbers and the connection between the
structure of numbers and numerical relations with
structures in music and space
z
Pythagorean theorem
 One of the basic theorems which says:the
area of ​​the square over the hypotenuse of a
right triangle is equal to the sum of the
areas of the square over the cathetus’
 formula: c2 = a2 + b2
Representation of the theorem:
the square with the side of the
hypotenuse of the triangle (c) is equal
in area to the sum of the squares with
the sides of the triangle (a, b)
z
Platonic solids
 Five platonic solids in
geometry
 It is considered that
Pythagoras was able to
construct the first three
platonic solids, but the
last two he couldn’t
z
They believed that the
solar system consists of
ten concentric spheres
orbiting a central fire
z  Pentad or the number five is one of
the holy numbers
 It simbolizes the five physical
elements: earth, water, fire, air and
space
 The symbol of Pentad is
Pentagram, a five-pointed star that
is formed by drawing a continuous
line in five straight segments, often
used as a mystic and magical
symbol
 They also called it a Pentalpha-a
star-shaped figure formed by
extending the sides of a regular
pentagram to meet at five points
z
 Ten is also a holy number
 Tetractys – the triangular
figurative number they worshiped
 4+3+2+1=10 – all relevant
numbers up to five participate in
the creation of the Decade
z

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Pythagora

  • 1. z
  • 2. z  He was born on the Greek island of Samos around 582 BC and died in Mesopotamia around 496 BC  He’s often portrayed as the firt „real” mathematician  Pythagoras is a very important person who contributed to the development of mathematics, although in essence we know very little about his mathematical work  A studend of Thales
  • 3. z Pythagorean school  Pythagoreans are people who study and follow Pythagoras teachings  After leaving his home island of Samos, Pythagoras founded a school in the southern Italian city of Crotone  The school almost had a character of some kind of religious sect, which had strict rules about the lifestyle, diet and dresscode and required an obligation to study mathematics, music and medical skills • Pythagoras himself was credited with discovering secret numbers and the connection between the structure of numbers and numerical relations with structures in music and space
  • 4. z Pythagorean theorem  One of the basic theorems which says:the area of ​​the square over the hypotenuse of a right triangle is equal to the sum of the areas of the square over the cathetus’  formula: c2 = a2 + b2 Representation of the theorem: the square with the side of the hypotenuse of the triangle (c) is equal in area to the sum of the squares with the sides of the triangle (a, b)
  • 5. z Platonic solids  Five platonic solids in geometry  It is considered that Pythagoras was able to construct the first three platonic solids, but the last two he couldn’t
  • 6. z They believed that the solar system consists of ten concentric spheres orbiting a central fire
  • 7. z  Pentad or the number five is one of the holy numbers  It simbolizes the five physical elements: earth, water, fire, air and space  The symbol of Pentad is Pentagram, a five-pointed star that is formed by drawing a continuous line in five straight segments, often used as a mystic and magical symbol  They also called it a Pentalpha-a star-shaped figure formed by extending the sides of a regular pentagram to meet at five points
  • 8. z  Ten is also a holy number  Tetractys – the triangular figurative number they worshiped  4+3+2+1=10 – all relevant numbers up to five participate in the creation of the Decade
  • 9. z