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A simple non-Euclidean geometry and its physical basis
, 1979E. Straus +3 more
semanticscholar +1 more source
Area and volume in non-Euclidean geometry
Eighteen Essays in Non-Euclidean Geometry, 2019N. Abrosimov, A. Mednykh
semanticscholar +1 more source
1981
In Chapter 3 we saw that the group G which we have been discussing is formed from the transformation $$ y = \frac{{xT + xx'{v_1} + {v_2}}}{{xu{'_2} + xx'b + d}} $$ (1) (And at the same time we have $$ yy'\left( {\frac{{xu{'_1} + xx'a + c}}{{xu{'_2} + xx'b + d}}} \right).) $$ (2) Observe that the matrix $$ M = \left( {\begin ...
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In Chapter 3 we saw that the group G which we have been discussing is formed from the transformation $$ y = \frac{{xT + xx'{v_1} + {v_2}}}{{xu{'_2} + xx'b + d}} $$ (1) (And at the same time we have $$ yy'\left( {\frac{{xu{'_1} + xx'a + c}}{{xu{'_2} + xx'b + d}}} \right).) $$ (2) Observe that the matrix $$ M = \left( {\begin ...
openaire +1 more source
1990
Abstract Amidst all the complex technical creations of the nineteenth century the most profound one, non-Euclidean geometry, was technically the simplest. This creation gave rise to important new branches of mathematics but its most significant implication is that it obliged mathematicians to revise radically their understanding of ...
openaire +1 more source
Abstract Amidst all the complex technical creations of the nineteenth century the most profound one, non-Euclidean geometry, was technically the simplest. This creation gave rise to important new branches of mathematics but its most significant implication is that it obliged mathematicians to revise radically their understanding of ...
openaire +1 more source
A Variation of Hilbert’s Axioms for Euclidean Geometry
Mathematische Semesterberichte, 2022Hermann Hähl
exaly
A History of Non-Euclidean Geometry
Studies in the History of Mathematics and Physical Sciences, 1988B A Rosenfeld
exaly

