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Pythagoras theorem history
- 1. WELCOME TO MATHSWITH PROFESSOR PHYTHAGOREAN THEOREM AND ITS ORIGIONS
- 2. HISTORY OF PYTHAGORA S Birthplace of Pythagoras
- 3. The Pythagorean Order OStudents at the Pythagorean School had to live by strict rules since they all strove to create pure minds and bodies. O They all thought that the mind could be purified through studying Geometry, mathematics, music, and astronomy.
- 4. The Pythagorean Order OWomen were allowed to join the Order, but they were kept separated from the rest of the Order.
- 5. Pythagorean Theorem What does the formula mean? O a² + b² = c² means that in a right the sum of the squares of the lengths of two legs equals the square of the length of the hypotenuse. c a For a more in-depth look at how this formula was derived, check out this site: http://forum.swartmore.edu/~sarah/ha milton/ham.rttriangles.tml b
- 6. There are ManyTypes of Triangles: Can you name them? Click on the names for the answers. Scalene Isosceles Equilateral Acute Obtuse Equiangular Triangle Right Triangle
- 7. Important Contributions O Pythagorasfound mathematical relationships as the essence of all things. O He believed that the earth was spherical and that the sun, moon, and planets have movements of their own. This contributed to the discovery that the earth revolved around the sun. O He’s credited with developing the Pythagorean Theorem which is a formula that is used to determine the lengths of the sides of right triangles. O His discoveries laid the foundation for all subsequent developments in Geometry.
- 8. WHAT IS ARIGT TRIANGLE ? O The Pythagorean Theorem applies only to right triangles. O A right triangle is a triangle that has a 90 degree right angle. It has two legs and a hypotenuse. a c O The hypotenuse is the side opposite the right angle and is b always the longest. O The variables a + b are used for the legs and c is the variable for the hypotenuse.
- 9. Let’s See Howit Works! Find the Hypotenuse Question: If a = 3 and b = 4, then what does c equal? a² + b² = c² (3)2 + (4)2 = c² (3x3) + (4x4) = c² 9 + 16 = c² 25 = c2 a 25 = c² 5 = c b
- 10. How to Finda Leg If a = 5 and c = 13, then what does b equal? O a² + b² = c² 52 + b² = 13² (5x5) + b² = (13x13) c 25 + b² = 169 a 25 + b² - 25 = 169 - 25 b² = 144 b² = 144 b b = 12
- 11. READ THE NOTESIN THE LINK BELOW BEFORE ATTEMPTING THE ASSESMENTS http://www.math.com/school/subject3/lessons/S3U4L 1GL.html FINDING A SQUARE ROOT WITHOUT A CALCULATOR http://www.math.com/school/subject1/lessons/S1U1L9 DP.html
- 12. ONLINE ASSESMENT Click othe link below and complete the tasks before viewing the memorandum http://www.math-aids.com/Pythagorean_Theorem/Pythagoras.html FOLLOW THE LINK BELOW TO HAVE PYTHAGOREAN FUNY GAMES http://www.math-play.com/Pythagorean-Theorem-Game.html FOLLOW THE LINK BELOW TO CALCULATE ANY SQUARE ROOT http://www.math.com/students/calculators/source/square-root.htm
- 13. PHYTHAGOREAN FACTS ANDFILES Many proofs of the Pythagorean theorem: http://www.cut-the-knot.com/pythagoras/ And again: http://www.mcn.net/~jimloy/pythag.html History and several proofs: http://jwilson.coe.uga.edu/emt669/Student.Folders/Mo rris.Stephanie/EMT.669/Essay.1/Pythagorean.html Dr. Math's Pythagorean theorem page: http://forum.swarthmore.edu/dr.math/faq/faq.pythagore an.html Uses of the Pythagorean theorem: http://www.geocities.com/primes135/uses.html
- 14. REFERENCES K von Fritz, Biography in Dictionary of Scientific Biography (New York 1970-1990). http://www.encyclopedia.com/doc/1G2-2830903544.html ASSESED 12 APRIL 2012 Biography in Encyclopaedia Britannica. http://www.britannica.com/eb/article-9062073/Pythagoras ACCESED 30 APRIL 2012 Books: R S Brumbaugh, The philosophers of Greece (Albany, N.Y., 1981). Buckle Down on Virginia Mathematics, SOL 8, 2nd Edition by Buckle Down Publishing Co. Lesson 7, page 67-70
- 15. BEST WIHSHES FROM PROFESSOR HOPE YOU ENJOYED FOR COMMENT DO NOT HESITATE TO CONTACT ME AT PMANGENA 12@GMAIL .COM