Euclid

Reference Topics 7-1

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Euclid’s Elements can be found at:
http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

These sites give some great examples of symmetry.
http://www.mcescher.com/?s=symmetry

Problem 1 presents an optical illusion. If you like this sort of problem you might enjoy checking out this site.
http://www.billiardworld.com/puzzles.html

You might be … See the whole entry

History 7-6

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This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history

This is an award-winning site that links to all sorts of mathematics information.
https://mathshistory.st-andrews.ac.uk/HistTopics/History_overview

Here are the … See the whole entry

Section 7.1: Geometry

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7.1 Outline

  1. Greek (Euclidean) geometry
    1. undefined terms
      1. point
      2. line
      3. plane
      4. surface
    2. categories
      1. traditional (Euclidean) geometry
      2. transformational geometry
    3. Euclid’s postulates
      1. postulate
      2. axiom
      3. theorem
      4. five postulates
    4. parallel lines
    5. non-Euclidean geometries
    6. straightedge
    7. line segment
    8. congruent figures
    9. construct a figure
      1. construct a circle
      2. construct
… See the whole entry