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Axiomatic Projective Geometry [PDF]
, 2002 The axiomatic treatment of plane projective geometry has at its starting point three undefined terms: point, line and incidence. We are given one set š¯’«, which we call the set of points, and another set ā„’ which we call the set of lines. Further, there is given a relation between elements from š¯’« and elements from ā„’ which is denoted by I, and referred to ...
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Categorical Aspects in Projective Geometry
Applied Categorical Structures, 1998After introducing morphisms between projective geometries, some categorical questions are examined. It is shown that there are three kinds of embeddings and two kinds of quotients. Furthermore the morphisms decompose in a canonical way into four factors.
Faure, Claude-Alain, Frolicher, Alfred
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Projective Differential Geometry
The American Mathematical Monthly, 1933(1933). Projective Differential Geometry. The American Mathematical Monthly: Vol. 40, No. 10P1, pp. 568-579.
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Projective Geometries and Projective Lattices
2000There exist many equivalent axiomatic characterizations of projective geometries. The first two sections of this chapter present two such possibilities. The first one uses the ternary relation collinear on the set of points. The second one works with the operator that associates to each couple of points a, b the line through a and a ā‰ b and the ...
Claude-Alain Faure, Alfred Frƶlicher
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Geometry and the Scientific Project
2018The boy Theaetetus is still at a lowly stage on the scale of scientific studies from the Republic. Plato illustrates the mistakes that arise from his immature grasp of what science is, due to mistaking sense perception and doxa for the true science of being.
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Projects: The Connected Geometry Project
The Mathematics Teacher, 1996Connected Geometry is a secondary school curriculum development project funded by the National Science Foundation and housed at Education Development Center in Newton, Massachusetts.
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Perspectives in Projective Geometry. A Guided Tour Through Real and Complex Geometry
The American mathematical monthly, 2015William N. Traves
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Projective Geometry: Solved Problems and Theory Review
, 2016E. Fortuna, R. Frigerio, R. Pardini
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Programmable interactions and emergent geometry in an arrayĀ of atom clouds
Nature, 2021Avikar Periwal +2 more
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