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His mathematics text Theory of Mathematics is now lost but information about it is available from a number of sources. Proclus quotes extensively from it and Euclid and Heron also give some information.
The Theory of Mathematics deals with the logical subdivisions of mathematics. Geminus considers the concepts of 'hypothesis', 'theorem', 'postulate', 'axiom', 'line', 'surface', 'figure', 'angle' etc.
Geminus is critical of Euclid's axioms in this work and he offers a 'proof' of the fifth postulate.
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