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(c.570 – c.495 BC) Born on Samos and died in Metapontum . One of the greatest
mathematicians and philosophers. Pythagoras lived in Ionian Greece and in 530
BC he travelled to Egypt and maybe Babylonia and India. He returned in 520 BC to
Samos and he founded a school which was called the Semicircle (school of
Pythagoras). People often described him as the fisrt pure mathematician. Here are
some of his achievements:
 Pythagorean theorem
 Foundedschool of Pythagoras
 Pythagorean tuning
 Circulus Pythagoticus
 Triangular number
 Perfect number
is a relation in Euclidean geometry among the three sides of a right
triangle. It states that the square of the hypotenuse (the side opposite
the right angle) is equal to the sum of the squares of the other two sides.
The theorem can be written as an equation relating the lengths of the
sides a, b and c, often called the "Pythagorean equation”.
Where c represents the length of the hypotenuse and a and b the
lengths of the triangle's other two sides. Of course today we particularly
remember Pythagoras for his famous
geometry theorem. Although the theorem,
now known as Pythagoras's theorem, was
known to the Babylonians 1000 years
earlier he may have been the first
to prove it.
 A triangular number is the number of dots that may be
arranged in an equilateral triangle: 1, 3, 6, 10, ...
In general n(n + 1)/2.
A perfect number is an integer for which the sum of its
proper divisors is equal to the number itself.
For example, 6 and 28 are both perfect numbers.
Semicircle – półkole
Hypotenuse – przeciwprostokątna
Right angle – kąt prosty
Equal – równy
Square – kwadrat
Equation – równanie
Length – długość
Theorem – twierdzenie
Triangle – trjókąt
Equilateral triangle – trójkąt równoboczny
Dot – punkt
Arrange – ugrupować, zorganizować
Integer – liczba całkowita
Divisor – dzielnik
Proper – odpowiedni, właściwy
 XX Secondary School in Gdańsk, Poland
 Supervision: Agnieszka Jackiewicz
 Consultation: Jolanta Chamerska
 Authors: Wojtek Przybylski, Dawid Cieszyński,
Wojtek Drewek
 https://en.wikipedia.org/wiki/Pythagoras#Pythagorea
n_school
 http://www-history.mcs.st-
and.ac.uk/Biographies/Pythagoras.html
 http://student.agh.edu.pl/~stefansk/pitagoras/pitagor
as_tw.html
 https://pl.wikipedia.org/wiki/Pitagoras

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Pythagoras' Life and Mathematical Achievements

  • 1.
  • 2. (c.570 – c.495 BC) Born on Samos and died in Metapontum . One of the greatest mathematicians and philosophers. Pythagoras lived in Ionian Greece and in 530 BC he travelled to Egypt and maybe Babylonia and India. He returned in 520 BC to Samos and he founded a school which was called the Semicircle (school of Pythagoras). People often described him as the fisrt pure mathematician. Here are some of his achievements:  Pythagorean theorem  Foundedschool of Pythagoras  Pythagorean tuning  Circulus Pythagoticus  Triangular number  Perfect number
  • 3. is a relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation”. Where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides. Of course today we particularly remember Pythagoras for his famous geometry theorem. Although the theorem, now known as Pythagoras's theorem, was known to the Babylonians 1000 years earlier he may have been the first to prove it.
  • 4.  A triangular number is the number of dots that may be arranged in an equilateral triangle: 1, 3, 6, 10, ... In general n(n + 1)/2.
  • 5. A perfect number is an integer for which the sum of its proper divisors is equal to the number itself. For example, 6 and 28 are both perfect numbers.
  • 6. Semicircle – półkole Hypotenuse – przeciwprostokątna Right angle – kąt prosty Equal – równy Square – kwadrat Equation – równanie Length – długość Theorem – twierdzenie Triangle – trjókąt Equilateral triangle – trójkąt równoboczny Dot – punkt Arrange – ugrupować, zorganizować Integer – liczba całkowita Divisor – dzielnik Proper – odpowiedni, właściwy
  • 7.  XX Secondary School in Gdańsk, Poland  Supervision: Agnieszka Jackiewicz  Consultation: Jolanta Chamerska  Authors: Wojtek Przybylski, Dawid Cieszyński, Wojtek Drewek
  • 8.  https://en.wikipedia.org/wiki/Pythagoras#Pythagorea n_school  http://www-history.mcs.st- and.ac.uk/Biographies/Pythagoras.html  http://student.agh.edu.pl/~stefansk/pitagoras/pitagor as_tw.html  https://pl.wikipedia.org/wiki/Pitagoras