A Commonplace Book

Category: algebra and geometry...

  • algebra evolved over time -- the concept of the equation, number systems, symbols for conveying and manipulating mathematic statements
  • algebra comes from Arabic words meaning 'reunion of broken parts' as it deals symbolically with elements and operations and relationships connecting the elements
  • geometry is one of the oldest branches of mathematics, having arisen in response to such practical problems as those found in Earth measurement and its name is derived from Greek meaning "measurement of earth or land"
  • Divide 100 loaves among 10 men including a boatman, a foreman, and a doorkeeper who receive double portions. What is the share of each? This problem comes from ancient Egypt, from the Rhind Papyrus, written in about 1650 BC. It can now be solved using algebra.
  • An unknown Egyptian writing about algebra nearly 4000 years ago used the word hau heap where we might now use X for the unknown amount.
  • Geometers also study the properties of three-dimensional figures such as pyramids, prisms, spheres, and cubes.
  • The word gonia is Greek for angle and the first part of the word for each regular figure is a Greek word for a number. So pentagon means 'five angles' and trigon is an archaic word for triangle.
  • pre-Algebra studies
  • geometric figures
  • algebra operation symbols

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