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History of Math #1

The Math Book (years BC)

TermDetails
Ant Odometer Ants have been "counting" steps since 150 million BC. When scientists altered their leg length, their trips were off.
Primates Count Scientists have taught primates to count 1-6 and choose the correct numeral
Cicada- Generated Prime Numbers The genus Magicicada only emerge every 13 or 17 years...is this to avoid predators in 2, 3, 4, 6, 12 cycles?
Knots Knots have been used since 100,000 BC and now there is knot theory
Ishango Bone 18,000 BC. A bone found in the Dem. Republic of the Congo. A simply tally stick or more with doubles and odds. (Menstruation math?)
Quipo 3000 BC. A system of knots and strings used by the Inca. Very complex and developed before writing.
Dice 3000 BC. Backgammon in Iran, ancient cultures used them for gods to make decisions
Magic Squares 2200 BC. Originated in China, also Mayans and Hasua people in Africa. Book with 880 4th order squares published 1514
Plimpton 322 1800 BC. Clay tablet from Babylonia with Pythagorean triples.
Rhind Papyrus 1650 BC. Egypt scroll 1x18 feet. Lots of math and Problem 79 (7 houses, 7 cats, 7 mice, etc.)
Tic Tac Toe 1300 BC Ancient Egypt.
Pythagorean Theorem & Triples 600 BC. Pythagoras, also by Hindu mathematician Baudhayana and probably to the Babylonians
Go 548 BC. Game in China with white and black stones on a 19x19 board, more possibilities than chess
Pythagoras Founds Mathematical Brotherhood 530 BC. Pythagoras moved to Italy, taught math and music, those relationships and worshipped numbers
Zeno's Paradoxes 445 BC. Greece. Zeno's Paradox that you can never leave a room (go halfway, half of that, half of that...) Also Achilles can't catch turtle in race (has to go to it's previous spot, then catch up, turtle moves.)
Quadrature of the Lune 440 BC. Hippocrates. Draw a right triangle with leg as diameter of circle. Then put semicircles around legs. Those outer arcs are equal to the area of the triangle.
Platonic Solids 350 BC. Greece. PLATO (platonic) 5 Platonic solids- Cube (6 rectangles), tetrahedron (4 triangles), octahedron (8 triangles), dodecahedron (12 pentagons), icosahedron (20 triangles)
Aristotle's Organon 350 BC. Greece. Aristotle. 6 books compiled. All about logic and the syllogism. (All women are mortal. Cleopatra is a woman. Therefore, Cleopatra is mortal.)
Aristotle's Wheel Paradox 320 BC The inner and outer circumference of a wheel appear to go the same distance in one revolution (they travel different paths)
Euclid's Elements 300 BC Euclid is from Greece, lives in Egypt. Successful textbooks based on theorems from five simple axioms. Geometry
Archimedes: Sand, Cattle, and Stomachion 250 BC Archimedes. Estimated grains of sand on earth, unsolvable problem about 4 colors of Helios's cattle, Stomachion a puzzle of 14 shapes and how to put them together to make a square (17,152 ways)
Pi 250 BC. Ancient people got close to pi. Archimedes got VERY close. We associate it with circles, but more applications.
Sieve of Eratosthenes 240 BC. A way to find prime numbers by testing for 2, 3, 5, 7, etc.
Archimedean Semi-Regular Polyhedra 240 BC. Archimedes found 13 semi-regular polyhedra...they all have same shapes around the vertices
Archimedes' Spiral 225 BC. Simplest spiral discussed by Archimedes in his book. Expressed by the equation r = a + bθ, springs, tightly rolled up rugs, transformation of rotary to linear motion in sewing machines
Cissoid of Diocles 180 BC. Cissoid is two curves that meet at a cusp. Tried to construct a cube with double the volume. Studied curves known as conic sections
Created by: kzmom314
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