Abstract
In affine geometry, given a line ℓ and a point P not on ℓ in an affine plane, we demand that there be a unique line ℓ P passing through P and parallel to ℓ. Let us now study the geometry of a “plane” in which there are no parallel lines, i.e., any two lines intersect. Let us see how to construct a plane geometry with this property, while retaining the other axioms of an affine plane.
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© 2005 Hindustan Book Agency
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Kumaresan, S., Santhanam, G. (2005). Projective Geometry. In: An Expedition to Geometry. Texts and Readings in Mathematics, vol 40. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-24-8_3
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DOI: https://doi.org/10.1007/978-93-86279-24-8_3
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-50-0
Online ISBN: 978-93-86279-24-8
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