5. Projective geometry

‘Projective geometry’ focuses on the points in projective geometry that are added to the Euclidean plane and are regarded on an equal footing with all other points. In Euclidean geometry two lines intersect at a unique point unless they are parallel, while the parallel lines from the projective perspective intersect at one of the points at infinity. The Renaissance painting of Canaletto depicts three-dimensional space and distortion of the Euclidean geometric proportions. The discovery of perspective led the Renaissance artists to seek geometric schemes that enable them to represent three-dimensional space. The key concept underlying the perspective drawing is the projection.