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2 Mathematicians

2 Mathematicians. Pythagoras and Zeno. Comparison of their discoveries And their lives. Chantelle Sullivan Y8Care. Who was Pythagoras?. Pythagoras w as born around 570 BC and passed away around 495 BC. He was a philosopher and mathematician. He was famous for his Pythagorean Theorem.

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2 Mathematicians

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  1. 2 Mathematicians Pythagoras and Zeno Comparison of their discoveries And their lives Chantelle Sullivan Y8Care

  2. Who was Pythagoras? • 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.

  3. The Pythagorean Theorem • 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.

  4. Check if the areas are same: 32+42=52 Therefore, 9+16=25, which proves Pythagoras’ Theorem correct. Example to Prove

  5. Who Was Zeno? • 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

  6. Math Discoveries • 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.

  7. Comparison of Pythagoras & Zeno • 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.

  8. 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.

  9. 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.

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