Linear perspective is a mathematical system for creating the illusion
of space and distance on a flat surface. The system originated in
Florence, Italy in the early 1400s. The artist and architect
Brunelleschi demonstrated its principles, but another architect and
writer, Leon Battista Alberti was first to write down rules of linear
perspective for artists to follow. Leonardo da Vinci probably learned
Alberti's system while serving as an apprentice
to the artist Verrocchio in Florence.
To use linear perspective an artist must first imagine the picture
surface as an "open window" through which to see the painted world.
Straight lines are then drawn on the canvas to represent the horizon
and "visual rays" connecting the viewer's eye to a point in the
distance.
The horizon line runs across the canvas at the eye level of
the viewer. The horizon line is where the sky appears to meet the
ground.
The vanishing point should be located near the center of the
horizon line. The vanishing point is where all parallel lines
(orthogonals) that run towards the horizon line appear to come
together like train tracks in the distance.
Orthogonal lines are "visual rays" helping the viewer's eye to
connect points around the edges of the canvas to the vanishing point.
An artist uses them to align the edges of walls and paving
stones.
In this study for Adoration of the Magi, Leonardo has
carefully drawn all of the lines needed to create perspective before
sketching in all the figures. Look carefully and see if you can find
the horizon line, (that's the yellow line) orthogonals,
(that's the red rays) and vanishing point.(the point where the
red rays start from.)