Math Project

Geometry

Ancient Geometry

First Egyptian Pyramid

2900 BC

First Egyptian Pyramid constructed, requiring knowledge of how to build pyramids with square bases out of blocks of stone.

Moscow Papyrus

1800 BC

The Moscow Papyrus is written containing 25 examples of Egyptian math.

Pythagorean arithmetic and geometry

518 BC

a2 + b2 = c2

way to figure out the legs or the hypotenuse

360 degree Circle

150 BC

Found out that circle is 360 degrees

Trigonometry of Hipparchus

140 BC

Hipparchus' thoughts and teachings of Trigonometry

Ancient Greek Geometry

Thales introduces deductive geometry

600 BC

It was developed over the years by Pythagoras and the Pythagoreans, Plato, Aristole, Euclid, and others

Euclid

300 BC

Euclid complies, organizes and systematizes geometric ideas which had been discovered and proven into thirteen books, called 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.)

Eratosthenes

240 BC

Eratosthenes determines that the Earth is spherical and computes its diameter

Appolonius

225 BC

Appolonius works on Conic Sections

Archimedes

225 BC

Archimedes (287 BC - 212 BC) does work on circles, spheres, areas, infinite series, and other things

Medieval Geometry

Area of an Encircled Quadrilateral

628 AD

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 semiperimeter, is found by the formula s=(a+b+c+d)/2

Synthesis of Algebra and Geometry

853

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

Gerbert d' Aurillae

1000

The "Mathematical" pope

Grosseteste

1253

geometry, optics, etc

Heron

50

Trigonometry

Modern Geometry

Carl Friedrich Gauss

1777 AD - 1855 AD

Gauss developed the Gauss method for adding large amounts of consecutive numbers when he was six. However, his most important creation is that of non-Euclidean geometry. Non-Euclidean geometry is geometry not based on the postulates of Euclid. This includes times when the parallel postulate isn’t true. Parallel Postulate – Through a given point not on a line, there is one and only one line parallel to it.

Johann Dirichlet

1837 AD

Johann Dirichlet defines a Function

Albert Einstein

03/14/1879

Albert Einstein's birthday

Prime Number Theory

1896

Prime Number Theory proved

Einstein

1916 AD

Einstein creates a general theory of relativity.