Geometry Until 1800, mathematics was divided into two great branches: geometry and arithmetic . Both were commonly regarded as the more obviously secure repositories of human knowledge. At this stage, geometry could be suitably defined as "the...

GEOMETRY. During the last two millennia BCE, the period that produced most religious texts, geometry (lit., "earth measurement," from Greek gaia, ge, "the earth," and metrein, "to measure") was essentially a...

Ancient Greek mathematicians systematized their knowledge about geometry, with the compendium by Euclid providing definitions, axioms, theorems, and proofs in final form. His Elements dictated the standard for communicating mathematical results and...

The German mathematician Georg Friedrich Riemann died shortly before his fortieth birthday and long before the importance of his work was truly recognized. He left the equivalent of only one volume of writings. Yet these provided the tools with which,...

Geometry is the branch of mathematics that deals with measurements and properties of points, lines, and angles. Geometry is one of the oldest branches of mathematics, used by the Egyptians and Babylonians as early as 2000 B.C. The ancient Egyptians and...

Ancient people used techniques of measurement to build ships, houses and temples and developed methods of calculating financial transactions. For most of the civilizations of the ancient world, these mathematical conventions were merely tools used to...

Calabi-Yau manifold Geometry (Greek γεωμετρία; geo = earth, metria = measure) is a part of mathematics concerned with questions of size, shape, and relative position of figures and with properties of space. Geometry is one of the oldest...