WELCOME TO MATHS WITH       PROFESSORPHYTHAGOREAN THEOREM AND       ITS ORIGIONS
HISTORY OF PYTHAGORA   S                       Birthplace of                        Pythagoras
The Pythagorean OrderO Students at the Pythagorean School had  to live by strict rules since they all strove  to create pu...
The Pythagorean OrderO Women were allowed to join the Order, but they were kept separated from the rest of the Order.
Pythagorean Theorem             What does the formula mean?               O a² + b² = c² means that in a right       the  ...
There are Many Types of Triangles:           Can you name them?    Click on the names for the answers.Scalene Isosceles ...
Important ContributionsO Pythagoras found mathematical relationships as the  essence of all things.O He believed that the ...
WHAT IS A RIGT TRIANGLE ?              O The Pythagorean Theorem                applies only to right triangles.          ...
Let’s See How it Works!                     Find the HypotenuseQuestion: If a = 3 and b = 4, then what does c equal?      ...
How to Find a Leg  If a = 5 and c = 13, then what does b equal?O a²   + b²    = c² 52    + b²    = 13² (5x5) + b²    = (13...
READ THE NOTES IN THE LINK BELOW BEFORE         ATTEMPTING THE ASSESMENTShttp://www.math.com/school/subject3/lessons/S3U4L...
ONLINE ASSESMENTClick o the link below and complete the tasks before viewing the                         memorandum       ...
PHYTHAGOREAN FACTS AND FILES      Many proofs of the Pythagorean theorem:      http://www.cut-the-knot.com/pythagoras/ And...
REFERENCES       K von Fritz, Biography in Dictionary of Scientific Biography (New York 1970-1990).                     ht...
BEST WIHSHES FROM          PROFESSORHOPE YOU ENJOYEDFOR COMMENT DO NOT HESITATE TO CONTACT ME AT           PMANGENA 12@GMA...
Upcoming SlideShare
Loading in …5
×

Pythagoras theorem history

1,296 views

Published on

THE ORIGION OF THE FOUNDER OF TRIGONOM ETRY

Published in: Education, Technology
0 Comments
2 Likes
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total views
1,296
On SlideShare
0
From Embeds
0
Number of Embeds
9
Actions
Shares
0
Downloads
22
Comments
0
Likes
2
Embeds 0
No embeds

No notes for slide

Pythagoras theorem history

  1. 1. WELCOME TO MATHS WITH PROFESSORPHYTHAGOREAN THEOREM AND ITS ORIGIONS
  2. 2. HISTORY OF PYTHAGORA S Birthplace of Pythagoras
  3. 3. The Pythagorean OrderO Students 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. 4. The Pythagorean OrderO Women were allowed to join the Order, but they were kept separated from the rest of the Order.
  5. 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 aFor a more in-depth look at how thisformula was derived, check out thissite:http://forum.swartmore.edu/~sarah/hamilton/ham.rttriangles.tml b
  6. 6. There are Many Types of Triangles: Can you name them? Click on the names for the answers.Scalene Isosceles Equilateral Acute Obtuse Equiangular Triangle Right Triangle
  7. 7. Important ContributionsO Pythagoras found 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. 8. WHAT IS A RIGT 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. 9. Let’s See How it Works! Find the HypotenuseQuestion: 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. 10. How to Find a 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. 11. READ THE NOTES IN THE LINK BELOW BEFORE ATTEMPTING THE ASSESMENTShttp://www.math.com/school/subject3/lessons/S3U4L 1GL.html FINDING A SQUARE ROOT WITHOUT A CALCULATORhttp://www.math.com/school/subject1/lessons/S1U1L9 DP.html
  12. 12. ONLINE ASSESMENTClick o the 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. 13. PHYTHAGOREAN FACTS AND FILES 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. Maths 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. 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. 15. BEST WIHSHES FROM PROFESSORHOPE YOU ENJOYEDFOR COMMENT DO NOT HESITATE TO CONTACT ME AT PMANGENA 12@GMAIL .COM

×