# Early Perspective Painting and the Beginnings of Projective Geometry.

## Presentation on theme: "Early Perspective Painting and the Beginnings of Projective Geometry."— Presentation transcript:

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

But isnt the perspective construction something to do with vanishing points?? That seems like a different idea!

The Tribute Money

Perspective in The Tribute Money

The Arnolfini Marriage

Perspective in The Arnolfini Marriage

Draw a square in perspective:

Construction lines

Horizontals

Last construction line

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

A Pavimento

Diagonal construction

Orthogonals

Transverals

A hexagonal well

The Baptism of Chris

The flagellation of Christ

Perspective in the Flagellation of Christ

Paolo Uccello

A misuse of perspective?

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