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# History of Geometry Timeline

Ancient-Egypt, Babylon, China, India

by

Tweet## Victoria Renee

on 18 October 2012#### Transcript of History of Geometry Timeline

Ancient- Egypt, Babylon, China, India History of Geometry Pythagoras-

Democritus Eudoxus of Cnidus Known to be one of the greatest ancient mathematicians, only Archimedes surpassed him. Cnidus contributed to geometry by discovering the Theory of Proportion, he established the precise methods for finding the are and volumes for figure with curves, method of exhaustion, and many other things. Euclid of Alexandria 323B.C.–283 B.C. 287 B.C.- 212 B.C. Sieve of Eratosthenes 276 B.C.-195B.C. Apollonius of Perga 262 B.C.-190 B.C. Hippocrates of Chios Sieve discovered how to determine prime numbers. His method was to write the number 2 and count from the on to infinity, then "sieve out" numbers. Every second number after 2 would be a prime number, then move onto the number 3 and sieve out multiple of 3, and so on. Apollonius is known as "The Great Geometer", he introduced how what parabola, ellipse, and hyberbol are and how to do them. Wrote over 20 books, most famous being "Conics", conics meaning cones. Chios' biggest accomplishment was that he was the first to write a systematically organized geometry textbook. He titled it "Stoicheia Elements" which has the basic mathematical theories. Ptolemy created Ptolemy's Theorem, this shows the relationship between the four sides and two diagonals of a cyclic quadrilateral (quadrilateral lies inside the circle). Claudius Ptolemy Euclid Alexandria (also know as the "Father of Geometry) wrote a book called "Elements". From the time it was published to early 20th century, it was where most of the teaching of geometry came from. Pythagoras created the Pythagorean Theorem. The theorem says that in a right triangle, then the sum of sides A and B are equivalent to the hypotenuse (or side C). 500 B.C. 400 B.C. 300 B.C. 200 B.C. 100 B.C. 100 A.D. 200 A.D. 600 B.C. 572 B.C.-490 B.C. 460 B.C.- 370 B.C. Democritus (known as "laughing philosopher") proposed that the volume of a cone is 1/3 of a cylinder with the same base and the height.

Democritus died before his theory was proven by Eudoxus 50 years later. Thales of Miletus 624 B.C.-546 B.C. Said to be the first person who used deductive reasoning, Miletus solved problems by calculating height of pyramids and the distance of ships from the shore.

He created the Thales' Theorem. Miletus proved that A, B, and C are points on the circle, where line AC is the diameter of the circle. That being said, angle ABC would be a right angle. 400 B.C.-355 B.C. Theory of Exhaustion Know as "Father of Geometry", wrote a book called "The Elements" which was the main textbook used to teach math (mainly geometry). A surviving piece of Euclid's book, "Elements". Archimedes of Syracuse Archimedes was the greatest mathematician of antiquity. He wrote several books, discovered the measurement of a circle, proved how to acquire the volume of a sphere, and most important thing discovered was engraved on his tomb stone. 90 A.D.- 168 A.D. 470 B.C.- 410 B.C. Thank You for all the Information!!!

story of Geometry

http://math.rice.edu/~lanius/Geom/his.html

Copyright 1997-2008 Cynthia Lanius

Geometry History

http://library.thinkquest.org/C006354/history.html

Quickie Math Copyright (c) 2000 Team C006354

Wikipedia

ttp://wiki.answers.com/Q/What_are_some_famous_people_who_contributed_to_geometry

http://en.wikipedia.org/wiki/Euclid

http://en.wikipedia.org/wiki/Thales%27_Theorem

http://en.wikipedia.org/wiki/Ptolemy's_theorem

ikipedia® is a registered trademark of the Wikimedia Foundation, Inc

.

pollonius of Perga

http://www.stegen.k12.mo.us/tchrpges/sghs/aengelmann/apolloniusofperga.htm

by Alicia Schamburg

Eudoxus

http://www.math.tamu.edu/~dallen/history/eudoxus/eudoxus.html

Don Allen

Mon Feb 10 08:03:17 CST 1997

http://www.math.twsu.edu/history/men/eratosthenes.html

Contributed by Courtney Ast

Archimedes

http://www.math.tamu.edu/~dallen/history/archimed/archimed.html

Democritus

http://www.counton.org/timeline/test-mathinfo.php?m=democritus-of-abdera

Google Images

By: Victoria Loustaunau:)

Full transcriptDemocritus Eudoxus of Cnidus Known to be one of the greatest ancient mathematicians, only Archimedes surpassed him. Cnidus contributed to geometry by discovering the Theory of Proportion, he established the precise methods for finding the are and volumes for figure with curves, method of exhaustion, and many other things. Euclid of Alexandria 323B.C.–283 B.C. 287 B.C.- 212 B.C. Sieve of Eratosthenes 276 B.C.-195B.C. Apollonius of Perga 262 B.C.-190 B.C. Hippocrates of Chios Sieve discovered how to determine prime numbers. His method was to write the number 2 and count from the on to infinity, then "sieve out" numbers. Every second number after 2 would be a prime number, then move onto the number 3 and sieve out multiple of 3, and so on. Apollonius is known as "The Great Geometer", he introduced how what parabola, ellipse, and hyberbol are and how to do them. Wrote over 20 books, most famous being "Conics", conics meaning cones. Chios' biggest accomplishment was that he was the first to write a systematically organized geometry textbook. He titled it "Stoicheia Elements" which has the basic mathematical theories. Ptolemy created Ptolemy's Theorem, this shows the relationship between the four sides and two diagonals of a cyclic quadrilateral (quadrilateral lies inside the circle). Claudius Ptolemy Euclid Alexandria (also know as the "Father of Geometry) wrote a book called "Elements". From the time it was published to early 20th century, it was where most of the teaching of geometry came from. Pythagoras created the Pythagorean Theorem. The theorem says that in a right triangle, then the sum of sides A and B are equivalent to the hypotenuse (or side C). 500 B.C. 400 B.C. 300 B.C. 200 B.C. 100 B.C. 100 A.D. 200 A.D. 600 B.C. 572 B.C.-490 B.C. 460 B.C.- 370 B.C. Democritus (known as "laughing philosopher") proposed that the volume of a cone is 1/3 of a cylinder with the same base and the height.

Democritus died before his theory was proven by Eudoxus 50 years later. Thales of Miletus 624 B.C.-546 B.C. Said to be the first person who used deductive reasoning, Miletus solved problems by calculating height of pyramids and the distance of ships from the shore.

He created the Thales' Theorem. Miletus proved that A, B, and C are points on the circle, where line AC is the diameter of the circle. That being said, angle ABC would be a right angle. 400 B.C.-355 B.C. Theory of Exhaustion Know as "Father of Geometry", wrote a book called "The Elements" which was the main textbook used to teach math (mainly geometry). A surviving piece of Euclid's book, "Elements". Archimedes of Syracuse Archimedes was the greatest mathematician of antiquity. He wrote several books, discovered the measurement of a circle, proved how to acquire the volume of a sphere, and most important thing discovered was engraved on his tomb stone. 90 A.D.- 168 A.D. 470 B.C.- 410 B.C. Thank You for all the Information!!!

story of Geometry

http://math.rice.edu/~lanius/Geom/his.html

Copyright 1997-2008 Cynthia Lanius

Geometry History

http://library.thinkquest.org/C006354/history.html

Quickie Math Copyright (c) 2000 Team C006354

Wikipedia

ttp://wiki.answers.com/Q/What_are_some_famous_people_who_contributed_to_geometry

http://en.wikipedia.org/wiki/Euclid

http://en.wikipedia.org/wiki/Thales%27_Theorem

http://en.wikipedia.org/wiki/Ptolemy's_theorem

ikipedia® is a registered trademark of the Wikimedia Foundation, Inc

.

pollonius of Perga

http://www.stegen.k12.mo.us/tchrpges/sghs/aengelmann/apolloniusofperga.htm

by Alicia Schamburg

Eudoxus

http://www.math.tamu.edu/~dallen/history/eudoxus/eudoxus.html

Don Allen

Mon Feb 10 08:03:17 CST 1997

http://www.math.twsu.edu/history/men/eratosthenes.html

Contributed by Courtney Ast

Archimedes

http://www.math.tamu.edu/~dallen/history/archimed/archimed.html

Democritus

http://www.counton.org/timeline/test-mathinfo.php?m=democritus-of-abdera

Google Images

By: Victoria Loustaunau:)