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Early Perspective Painting and the Beginnings of Projective Geometry

Early Perspective Painting and the Beginnings of Projective Geometry. The cone of visual rays has its vertex at the eye. A perspective painting is a section of this cone by a plane. Devices.

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Early Perspective Painting and the Beginnings of Projective Geometry

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  1. Early Perspective Painting and the Beginnings of Projective Geometry

  2. The cone of visual rays has its vertex at the eye. A perspective painting is a section of this cone by a plane.

  3. Devices

  4. But isn’t the perspective construction something to do with vanishing points??That seems like a different idea!

  5. The Tribute Money

  6. Perspective in The Tribute Money

  7. The Arnolfini Marriage

  8. Perspective in The Arnolfini Marriage

  9. Draw a square in perspective:

  10. Construction lines

  11. Horizontals

  12. Last construction line

  13. Why is this construction correct? DE:BC = AE:AC = HE:GC But BC = GC, so DE = HE

  14. A Pavimento

  15. …degraded square

  16. Diagonal construction

  17. Orthogonals

  18. Transverals

  19. A ‘degraded’ octagon

  20. A hexagonal well

  21. Heads

  22. The Baptism of Chris

  23. The flagellation of Christ

  24. Perspective in the Flagellation of Christ

  25. Paolo Uccello

  26. A misuse of perspective?

  27. Two pencils of lines These are EQUIVALENT in projective geometry: one can be transformed into the other.

  28. The Ambassadors

  29. Art and optics • A recent symposium considered the possibility that Renaissance perspective effects did not require geometrical construction after all! The suggestion is that artists used lenses and mirrors to project images, and trace them. • http://www.artandoptics.com

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