Euclid’s postulates

Section 7.6: Mathematics, Art, and Non-Euclidean Geometries

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7.6 Outline

  1. Golden rectangles
    1. definition
    2. divine proportion
    3. tau
  2. Mathematics and art
    1. golden ratios in art
    2. proportions of the human body
    3. spiral constructed using a golden rectangle
  3. Projective geometry
    1. Duccio’s Last Supper
    2. Hogarth’s Perspective Absurdities
    3. false perspective
    4. Masaccio’s The Holy Trinity
… 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