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Area and volume in non-Euclidean geometry

Eighteen Essays in Non-Euclidean Geometry, 2019
N. Abrosimov, A. Mednykh
semanticscholar   +1 more source

Non-Euclidean Geometry

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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Non-Euclidean Geometry

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 ...
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A Variation of Hilbert’s Axioms for Euclidean Geometry

Mathematische Semesterberichte, 2022
Hermann Hähl
exaly  

Non-Euclidean geometry

Mathematical Gazette, 1913
Roberto Bonola
semanticscholar   +1 more source

A History of Non-Euclidean Geometry

Studies in the History of Mathematics and Physical Sciences, 1988
B A Rosenfeld
exaly  

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