early perspective painting and the beginnings of projective geometry
TRANSCRIPT
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Early Perspective Painting and the Beginnings of Projective
Geometry
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The cone of visual rays has its vertex at the eye. A perspective painting is a section of this cone
by a plane.
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Devices
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But isn’t the perspective construction something to do with
vanishing points??
That seems like a different idea!
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The Tribute Money
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Perspective in The Tribute Money
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The Arnolfini Marriage
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Perspective in The Arnolfini Marriage
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Draw a square in perspective:
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Construction lines
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Horizontals
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Last construction line
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Why is this construction correct?
DE:BC = AE:AC = HE:GC
But BC = GC, so DE = HE
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A Pavimento
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…degraded square
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Diagonal construction
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Orthogonals
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Transverals
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A ‘degraded’ octagon
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A hexagonal well
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Heads
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The Baptism of Chris
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The flagellation of Christ
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Perspective in the Flagellation of Christ
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Paolo Uccello
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A misuse of perspective?
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Two pencils of lines
These are EQUIVALENT in projective geometry: one can be transformed into the other.
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The Ambassadors
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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