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First Egyptian pyramids constructed using masterful planning as well as sharp and detailed understanding of geometrical shapes and concepts.

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This was the first known instance of someone correctly mapping the area of a triangle with a pre-determined formula in recorded history.

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The Moscow Mathematical Papyrus was a document discovered containing 25 new ideas in mathematical and geometrical history.

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The Rhind Papyrus was an 18 feet wide document containing 48 new problems revolving mostly around dealing with fractions.

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Baudhayana, author of the Baudhayana Sulba Sutra, a Vedic Sanskrit geometric text, contains quadratic equations, and calculates the square root of 2 correct to five decimal places

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The Shatapatha Brahmana is a prose text describing Vedic rituals, history and mythology associated with the Śukla Yajurveda.

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Brahmagupta's formula: The area, A, of a cyclic quadrilateral with sides of lengths a, b, c, d, respectively, is given by

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The other Vedic “Sulba Sutras” (“rule of chords” in Sanskrit) use Pythagorean triples, contain of a number of geometrical proofs, and approximate π at 3.16

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Pappus of Alexandria states his hexagon theorem and his centroid theorem

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The Nine Chapters on the Mathematical Art

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The Nine Chapters on the Mathematical Art

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The Nine Chapters on The Mathematical Art lays out an approach to mathematics that centers on finding the most general methods of solving problems

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The Nine Chapters on the Mathematical Art

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Descartes synthesized algebra and geometry by placing points on a coordinate plane.

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Even though there is much controversy surrounding it its widely believed that Sir Isaac Newton and Gottfried Wilhelm Leibniz both discovered/created calculus in the mid 17th century

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The classification of finite simple groups, a collaborative work involving some hundred mathematicians and spanning thirty years, is completed

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First recorded incident of written numerals in Greece

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Plato founds the Academy in Athens. He identifies five polyhedra now known as Platonic bodies.

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Eudoxus Rational and Irrational Comparison

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Eudoxus Rational and Irrational Comparison

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Eudoxus makes a definition allowing the possibility of using irrational lengths and comparing them with rational lengths by using cross multiplication.

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Eudoxus Rational and Irrational Comparison

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Euclid writes The Elements, a book discussing Euclidean geometry. The Elements is a collection of 13 books of definitions, postulates, and axioms. It became the 3rd most popular book in the world, after the Koran and the Bible.

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Archimedes discovers the formula for how to calculate the volume of a cylinder.

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Eratosthenes estimates the circumference of the Earth, only missing by about 15%.

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Brahmagupta created a formula for finding the area of a quadrilateral, with sides a,b,c,d, enclosed by a circle: A = The Sq. Root of (s-a)(s-b)(s-c)(s-d). S is the semi-perimeter, is found by the formula s=(a+b+c+d)/2

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Casimir Kuratowski shows that the three-cottage problem has no solution

The problem is as follows:

"Suppose there are three cottages on a plane (or sphere) and each needs to be connected to the gas, water, and electricity companies. Without using a third dimension or sending any of the connections through another company or cottage, is there a way to make all nine connections without any of the lines crossing each other?"

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In 1982, Benoit Mandelbrot publishing The Fractal Geometry of Nature, a book popularizing fractal geometry. Fractal geometry deals with fractioned dimensions.

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The classification of finite simple groups, a collaborative work involving some hundred mathematicians and spanning thirty years, is completed

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A team of researches throughout North America and Europe used networks of computers to map E8