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• Pythagoras was born around 570 BC and passed away around 495 BC.
• He was a philosopher and mathematician.• He was famous for his Pythagorean Theorem.• He had a teacher named Themistoclea. He taught him
principles of ethics. • He traveled to different places to learn, such as Egypt.
• This theorem, came up by Pythagoras, states that in a right angled triangle, the area of the square on the hypotenuse [side opposite to right angle] is equal to the sum of the areas of the squares of the other 2 side. That is—a2+b2=c2
• In other words, if you had a right angle triangle, and you made a square on each of the sides of the triangle, the biggest square will be the other 2 added up together.
• Check if the areas are same: 32+42=52
• Therefore, 9+16=25, which proves Pythagoras’ Theorem correct.
• Zeno of Elea was a pre-Socratic [mathematicians/philosophers before Socrates] philosopher known for his Paradoxes.
• The 4 arguments about motion in the paradoxes are known as…
• 1) Dichotomy• 2)Achilles• 3)Arrow• 4)Stadium• He was the first person to show that the concept of infinity is
problematical, meaning that infinity is questionable
• The four paradoxes are Achilles, Dichotomy, Arrow and Stadium
• Arrow: for motion to occur, an object must change position which it occupies.
• Achilles: a head started slow runner will never be caught up by a faster runner who starts running later than the slow runner.
• Not many people think Zeno’s paradoxes are correct.
• Pythagoras’ math theories are more useful than Zeno’s after comparing them.
• People nowadays mostly disagree with Zeno’s motion paradoxes but still agree with Pythagoras on his Theorem.
• Pythagoras has a huger impact on people nowadays on a wider range.
• Both of them are Pre-Socratic mathematicians.
Bibliography & resources: Pythagoras
• Mathsisfun.com.Pythagoras’ Theorem. 2011. <www.mathsisfun.com/pythagoras.html> September 30th, 2011.
• Wikipedia. Pythagoras’ Theorem. 2011. <www.wikipedia.org/wiki/pythagoras> September 29th, 2011.
• Struck, Dirk. A Concise History of Mathematics. 1948. New York. Dover Publications. September 30th,2011.
• Morris, Stephanie. The Pythagorean Theorem. 2011. <www.jwilson.coe.uga.edu/emt669/essay.1/pythagorean.html> September 30th 2011.
• Kidipede. Pythagoras. 2011. < www.historyforkids.org/learn/greeks/science/math/pythagoras.htm > October 1st, 2011.
Bibliography & resources:Zeno of Elea
• Cyprus. Zeno’s Paradoxes. 2011. <http://www.mlahanas.de/Greeks/Paradoxa.htm > October 5th, 2011.
• Struck, Dirk. A Concise History of Mathematics. 1948. New York. Dover Publications. September 30th,2011.
• WikiPedia. Zeno of Elea. 2011. http://en.wikipedia.org/wiki/Zeno_of_Elea .October 1st. 2011.
• PRIME. Zeno’s Paradox: Achilles & the Tortoise. 2011. http://www.mathacademy.com/pr/prime/articles/zeno_tort/ . October 4th, 2011.