The presentation is fully about the pythagoras thoerem.Professor R. Smullyan in his book 5000 B.C. and Other Philosophical Fantasies tells of an experiment he ran in one of his geometry classes. He drew a right triangle on the board with squares on the hypotenuse and legs and observed the fact the the square on the hypotenuse had a larger area than either of the other two squares. Then he asked, "Suppose these three squares were made of beaten gold, and you were offered either the one large square or the two small squares. Which would you choose?" Interestingly enough, about half the class opted for the one large square and half for the two small squares. Both groups were equally amazed when told that it would make no difference.
The Pythagorean (or Pythagoras') Theorem is the statement that the sum of (the areas of) the two small squares equals (the area of) the big one.In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle.
2. INTRODUCTION
Famous As: Philosopher and Mathematician
Nationality: Greek
Born On: 570 BC
Born In: Samos
Died On: 495 BC
Place Of Death: Metapontum,Italy
Father: Mnesarchus
Mother: Pythais
Spouse: Theano
Children: Damo, Myia, Arignote, Telauges
Education: Pythagoreanism
Works & Achievements: Pythagoras of Samos is known for his mathematical works such
as the 'Pythagoras Theorem' and also for his philosophical teachings.
3. PYTHAGORAS THEOREM
When the triangle has a right angle (90°)
and squares are made on each of the three
sides, then ... the biggest square has
the exact same area as the other two
squares put together! It is called
"Pythagoras' Theorem" and can be written
in one short equation:
4. MATHEMATICAL
CONCEPTS
Pythagoras studied properties of numbers and
classified them as even numbers, odd numbers,
triangular numbers and perfect numbers etc. The
‘Pythagoras theorem’ is one of the earliest theorems in
geometry, which states that in right-angle triangles, the
square of the hypotenuse is equal to the sum of
square the other two sides. This theorem was already
proposed during the reign of the Babylonian King
Hammurabi, but Pythagoras applied it to mathematics
and science and refined the concept.
5. TIMELINE
570 BC: Pythagoras was born in Samos, Greece.
535 BC: He left Samos and travelled to Egypt when
Polycrates took control over Samos.
525 BC:He was made prisoner by the King of
Persia and was taken to Babylon.
520 BC:Obtained freedom and returned to Samos.
518 BC:Travelled to Italy.
495 BC:Pythagoras died in Metapontum, Italy.
6. Pythagoras is often referred to
as the first pure & famous
mathematician. The
Pythagorean Theorem is one
of the most famous and
fundamental mathematical
concepts in history. As a
student, we will use this