Early geometry | |
Euclidean geometry and the parallel postulate | |
Investigations by Islamic mathematicians | |
Saccheri and his Western Predecessors | |
J H Lambert's work | |
Legendre's work | |
Gauss' contribution | |
Trigonometry | |
the first new geometries | |
the discoveries of Lobachevskii and Bolyai | |
Curves and surfaces | |
Riemann on the foundations of geometry | |
Beltrami's ideas | |
New models and old arguments | |
Resume | |
Non-Euclidean mechanics | |
The question of absolute space | |
Space, time and space-time | |
Paradoxes of special relativity | |
Gravitation and non-Euclidean geometry | |
Speculations | |
Some last thoughts | |
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