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# Pythagoras

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#### Transcript of Pythagoras

Double click anywhere & add an idea Q Pythagoras Theorem:

In a right triangle the square of the hypotenuse (longest side) is equal to the sum of the squres of other two sides. Biography

Born: 575 B.C

Samos, Greece

Died: 495 B.C

Early Life Born Approximately 575 BC, Samos Greece

Well educated-

interested in mathematics, philosophy,astronomy, and music,

and was greatly influenced by many great people Statue of Pythagoras, Pythagorion, Samos

Pythagoras aligned with the catheti of a right triangle, with inscriptions on its hypotenuse, illustrating the Pythagorean theorem

Pythagoras Question:

If these 3 squares were made of gold, and you were offered either one large square or two small squares , which would you choose? By: Jenny Lee Pythagoras in Crotona, Italy http://www.theodora.com/wfb/photos/greece/greece_photos_100.html Greek philosopher, scientist,religious scholar and a MATHEMATICIAN In Egypt- the engineers who built the pyramids.

They held a very special secret in the form of a rope tied in a circle with 12 evenly spaced knots.

Dimensions of 3-4-5, a right triangle

Lay the foundations for their buildings accurately.

Pythagoras in Egypt

Pythagoras in Babylon http://www.worldhistory.timemaps.com/images/NewMiddleEast_1500BC.jpg Gave credit to Pythagoras

Pythagoras studied odd and even numbers, triangular numbers, and perfect numbers.

Ten was the very best number: it contained in itself the first four integers - one, two, three, and four [1 + 2 + 3 + 4 = 10] - and these written in dot notation formed a perfect triangle. Pythagoras believed:

All things are numbers.

Mathematics is the basis for everything,

geometry is the highest form of mathematical studies.

Numbers have personalities, characteristics, strengths and weaknesses

Odd numbers were masculine and even were feminine.

Credit To Pythagoras http://en.wikipedia.org/wiki/Pythagoras Pythagorean Theorem The sum of the angles of a triangle is equal to two right angles Constructing figures of a given area and geometrical algebra

they solved equations such as a (a - x) = x2 by geometrical means. The discovery of irrationals The five regular solids (tetrahedron, cube, octahedron, icosahedron, dodecahedron). square numbers triangles in squares a - 8 triangles

b- 8 triangles

The square on the hypotenuse of the triangle, c, - 16 triangles.

The Babylonians saw this pattern of tiles to be a proof of the Pythagorean Theorem.

http://www.mathopenref.com/pythagoras.html They all worked communally on discoveries and theories.

It is difficult to be certain whether all the theorems attributed to Pythagoras were originally his, or whether they came from the communal society of the Pythagoreans. http://www.geom.uiuc.edu/~demo5337/Group3/hist.html Beamer, D. (2009, January 25). Greece Photo. Retrieved May 1, 2010, from

http://www.theodora.com/wfb/photos/greece/greece_photos_100.html

Douglass, C. (2005). Pythagoras. Retrieved April 29, 2010, from

http://www.mathopenref.com/pythagoras.html

Encyclopedia of World Biography. (n.d.). Retrieved April 29, 2010, from

http://www.notablebiographies.com/Pu-Ro/Pythagoras.html

History of Pythagoras. (1999, February 5). Retrieved May 1, 2010, from

http://www.geom.uiuc.edu/~demo5337/Group3/hist.html

Pythagoras. (2009, August 15). Retrieved April 30, 2010, from

http://www.thebigview.com/greeks/pythagoras.html

Robertson, E. (1999, January). Pythagoras of Samos. Retrieved May 1, 2010, from

http://www-history.mcs.st-andrews.ac.uk/Biographies/Pythagoras.html

http://www.youtube.com/watch?v=GJMNM3bTEIg&feature=related

Reference http://whatisthepyramid.com/wp-content/uploads/2009/08/Pythagoras-Knapp.gif Pythagoras died in 495 BC in Metapontum, Italy.

Full transcriptIn a right triangle the square of the hypotenuse (longest side) is equal to the sum of the squres of other two sides. Biography

Born: 575 B.C

Samos, Greece

Died: 495 B.C

Early Life Born Approximately 575 BC, Samos Greece

Well educated-

interested in mathematics, philosophy,astronomy, and music,

and was greatly influenced by many great people Statue of Pythagoras, Pythagorion, Samos

Pythagoras aligned with the catheti of a right triangle, with inscriptions on its hypotenuse, illustrating the Pythagorean theorem

Pythagoras Question:

If these 3 squares were made of gold, and you were offered either one large square or two small squares , which would you choose? By: Jenny Lee Pythagoras in Crotona, Italy http://www.theodora.com/wfb/photos/greece/greece_photos_100.html Greek philosopher, scientist,religious scholar and a MATHEMATICIAN In Egypt- the engineers who built the pyramids.

They held a very special secret in the form of a rope tied in a circle with 12 evenly spaced knots.

Dimensions of 3-4-5, a right triangle

Lay the foundations for their buildings accurately.

Pythagoras in Egypt

Pythagoras in Babylon http://www.worldhistory.timemaps.com/images/NewMiddleEast_1500BC.jpg Gave credit to Pythagoras

Pythagoras studied odd and even numbers, triangular numbers, and perfect numbers.

Ten was the very best number: it contained in itself the first four integers - one, two, three, and four [1 + 2 + 3 + 4 = 10] - and these written in dot notation formed a perfect triangle. Pythagoras believed:

All things are numbers.

Mathematics is the basis for everything,

geometry is the highest form of mathematical studies.

Numbers have personalities, characteristics, strengths and weaknesses

Odd numbers were masculine and even were feminine.

Credit To Pythagoras http://en.wikipedia.org/wiki/Pythagoras Pythagorean Theorem The sum of the angles of a triangle is equal to two right angles Constructing figures of a given area and geometrical algebra

they solved equations such as a (a - x) = x2 by geometrical means. The discovery of irrationals The five regular solids (tetrahedron, cube, octahedron, icosahedron, dodecahedron). square numbers triangles in squares a - 8 triangles

b- 8 triangles

The square on the hypotenuse of the triangle, c, - 16 triangles.

The Babylonians saw this pattern of tiles to be a proof of the Pythagorean Theorem.

http://www.mathopenref.com/pythagoras.html They all worked communally on discoveries and theories.

It is difficult to be certain whether all the theorems attributed to Pythagoras were originally his, or whether they came from the communal society of the Pythagoreans. http://www.geom.uiuc.edu/~demo5337/Group3/hist.html Beamer, D. (2009, January 25). Greece Photo. Retrieved May 1, 2010, from

http://www.theodora.com/wfb/photos/greece/greece_photos_100.html

Douglass, C. (2005). Pythagoras. Retrieved April 29, 2010, from

http://www.mathopenref.com/pythagoras.html

Encyclopedia of World Biography. (n.d.). Retrieved April 29, 2010, from

http://www.notablebiographies.com/Pu-Ro/Pythagoras.html

History of Pythagoras. (1999, February 5). Retrieved May 1, 2010, from

http://www.geom.uiuc.edu/~demo5337/Group3/hist.html

Pythagoras. (2009, August 15). Retrieved April 30, 2010, from

http://www.thebigview.com/greeks/pythagoras.html

Robertson, E. (1999, January). Pythagoras of Samos. Retrieved May 1, 2010, from

http://www-history.mcs.st-andrews.ac.uk/Biographies/Pythagoras.html

http://www.youtube.com/watch?v=GJMNM3bTEIg&feature=related

Reference http://whatisthepyramid.com/wp-content/uploads/2009/08/Pythagoras-Knapp.gif Pythagoras died in 495 BC in Metapontum, Italy.