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  1. Thomas Reid’s geometry of visibles and the parallel postulate.Giovanni B. Grandi - 2005 - Studies in History and Philosophy of Science Part A 36 (1):79-103.
    Thomas Reid (1710–1796) presented a two-dimensional geometry of the visual field in his Inquiry into the human mind (1764), whose axioms are different from those of Euclidean plane geometry. Reid’s ‘geometry of visibles’ is the same as the geometry of the surface of the sphere, described without reference to points and lines outside the surface itself. Interpreters of Reid seem to be divided in evaluating the significance of his geometry of visibles in the history of the discovery of non-Euclidean geometries. (...)
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  • Reid’s Account of the “Geometry of Visibles”: Some Lessons from Helmholtz.Lorne Falkenstein - 2016 - Topoi 35 (2):485-510.
    Drawing on work done by Helmholtz, I argue that Reid was in no position to infer that objects appear as if projected on the inner surface of a sphere, or that they have the geometric properties of such projections even though they do not look concave towards the eye. A careful consideration of the phenomena of visual experience, as further illuminated by the practice of visual artists, should have led him to conclude that the sides of visible appearances either look (...)
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