
doi: 10.1007/bf01229208
It is proved that the geometry of oriented lines of \(F^3\), \(F\) being a Pythagorean field, is isomorphic to the spherical geometry over the ring of dual numbers \(R_F= F+ F\varepsilon\), \(\varepsilon^2= 0\). (Study's Übertragungsprinzip).
ring geometry, Ring geometry (Hjelmslev, Barbilian, etc.), dual numbers, Study's Übertragungsprinzip
ring geometry, Ring geometry (Hjelmslev, Barbilian, etc.), dual numbers, Study's Übertragungsprinzip
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