The First Great Theorem

Transcription

1 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

2 Outline before and before and

3 Outline before and before and

4 Clay tablet (Plimpton 322) from Babylon, c.2000 bc before and

5 Clay tablet from Babylon, c.2000 bc before and Second column: shorter leg Third column: hypotenuse

6 Called the gougu rule before and 1600 ad copy of a book written in 1500 bc

7 before Knew special right triangles Used ropes with knots equally spaced apart No formal rules for finding Pythagorean triples and

8 Outline before and before and

9 before and of Samos 570 bc-475 bc Do not say a little in many words but a great deal in a few.

10 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

11 Pythagorean School Whole numbers rule the universe in all ways before and

12 Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings before and

13 Pythagorean School Whole numbers rule the universe in all ways Divine Number bestowed blessings School emblem was a 5-pointed star before and

14 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

15 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

16 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

17 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

18 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

19 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

20 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

21 Pythagorean School before Number beliefs 1. The source of all things; the monad and

22 Pythagorean School before Number beliefs 1. The source of all things; the monad 2. The divided being; Janus; feminine and

23 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

24 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

25 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

26 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

27 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

28 Outline before and before and

29 A Dissection Proof before and

30 A Shearing Proof before and

31 Eulcid s Proof before and

32 A General Proof before and

33 An Extension before and

34 Another Extension before and

35 Outline before and before and

36 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...