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

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 7.5: Right-Triangle Trigonometry

7.5 Outline

  1. Pythagorean theorem
  2. Trigonometric ratios
    1. sine
    2. cosine
    3. tangent
  3. Inverse trigonometric ratios
    1. calculator calculating
    2. inverse trigonometric ratios
      1. inverse tangent
      2. inverse cosine
      3. inverse sine
  4. Applications
    1. angle of elevation
    2. angle of depression

 

7.5 Essential Ideas

7.5.1See the whole entry