1. MATH PROJECT
Perspective on Art

2. Perspective on Art
Brunelleschi created the correct formulation of linear perspective in art in 1413.
A painting must have a vanishing point and a scale.
Relation between the real size of an object and its size in the picture depending on its distance.
Made a painting with a hole in the vanishing point.(example)
He didn’t write down principles.

3. Perspective on Art
When Alberti wrote Brunilleschi’s principles he gave them a geometry background.
He set up a system of triangles between the eye and the object viewed.
Alberti gave the concept of proportionality which determinates the size of an object depending on its distance.

4. Instructions: Cross 2 diagonals to find the vanishing point
Cross the horizon line in the middle of the square (horizontal)
Measure the total bottom of the square and its sides
Choose a scale and I’m going to prove the proportionality of the insides triangles. (overlapping triangles) D B E A C 14 20

5. Triangle Proportionality

6. Representation Choose any number as scale.( scale 2)
Divide all the side measures by 2 (scale) 14:2=7, 20:2=10, 14:2=7
Prove the triangles proportionality
(original size) AC = CD = AD
(new size) AB BE AE
14 = 20 = 14
2 = 2 = 2 = 2 14 20 D B E A C