The First Great The History of Mathematics, Part 4 Chuck, Ph.D. before and Department of Mathematics Rockdale Magnet School for Science and Technology January 17, 2014
Outline before and before and
Outline before and before and
Clay tablet (Plimpton 322) from Babylon, c.2000 bc before and
Clay tablet from Babylon, c.2000 bc before and Second column: shorter leg Third column: hypotenuse
Called the gougu rule before and 1600 ad copy of a book written in 1500 bc
before Knew special right triangles Used ropes with knots equally spaced apart No formal rules for finding Pythagorean triples and
Outline before and before and
before and of Samos 570 bc-475 bc Do not say a little in many words but a great deal in a few.
Possibly studied under Thales Traveled to Egypt and possibly India Founded a school in Crotona Possibly was the first to prove the Pythagorean School developed elaborate rites and beliefs All discoveries made by students were credited to Political pressure forced to flee Died in Metapontum before and
Pythagorean School Whole numbers rule the universe in all ways before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star Women treated as equals before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star Women treated as equals Became quasi-religious with multiple commandments before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star Women treated as equals Became quasi-religious with multiple commandments Abstain from beans before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star Women treated as equals Became quasi-religious with multiple commandments Abstain from beans Do not pick up what has fallen before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star Women treated as equals Became quasi-religious with multiple commandments Abstain from beans Do not pick up what has fallen Do not break bread before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star Women treated as equals Became quasi-religious with multiple commandments Abstain from beans Do not pick up what has fallen Do not break bread Do not look in a mirror beside a light before and
Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star Women treated as equals Became quasi-religious with multiple commandments Abstain from beans Do not pick up what has fallen Do not break bread Do not look in a mirror beside a light Do not stir the fire with iron before and
Pythagorean School before Number beliefs 1. The source of all things; the monad and
Pythagorean School before Number beliefs 1. The source of all things; the monad 2. The divided being; Janus; feminine and
Pythagorean School before Number beliefs 1. The source of all things; the monad 2. The divided being; Janus; feminine 3. Completion and heaven; masculine and
Pythagorean School before Number beliefs 1. The source of all things; the monad 2. The divided being; Janus; feminine 3. Completion and heaven; masculine 4. Perfection; justice and earth and
Pythagorean School before Number beliefs 1. The source of all things; the monad 2. The divided being; Janus; feminine 3. Completion and heaven; masculine 4. Perfection; justice and earth 5. Marriage of heaven and earth and
Pythagorean School before Number beliefs 1. The source of all things; the monad 2. The divided being; Janus; feminine 3. Completion and heaven; masculine 4. Perfection; justice and earth 5. Marriage of heaven and earth 6. Luck and
Pythagorean School before Number beliefs 1. The source of all things; the monad 2. The divided being; Janus; feminine 3. Completion and heaven; masculine 4. Perfection; justice and earth 5. Marriage of heaven and earth 6. Luck 7. Cosmic and
Outline before and before and
A Dissection Proof before and
A Shearing Proof before and
Eulcid s Proof before and
A General Proof before and
An Extension before and
Another Extension before and
Outline before and before and
before A recent theory behind the use of Plimpton 322; Reader, 1.E3 More on the Pythagorean ; Math Through the Ages, Sketch 12 and Next: The First Crisis...