Abstract
Projective space is not merely a dry and theoretical invention. On the contrary, it is a living reality. It would be impossible to create perspective and depth in a painting without an understanding of projective space. When we are painting or making pictures of physical objects in space, like buildings, roads or other objects, we need to project the 3-dimensional space with all it contains onto a 2-dimensional canvas, piece of paper, or photographic film. Then two parallel lines in nature will be represented in the picture as two lines intersecting at a point located at the line of perspectivity. We might say that the Euclidian 3-space is projected onto the projective plane.
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© 2010 Springer-Verlag Berlin Heidelberg
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Holme, A. (2010). Projective Space. In: Geometry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14441-7_12
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DOI: https://doi.org/10.1007/978-3-642-14441-7_12
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-14441-7
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