Geometry and Logic. The Shape of Mathematical Proof from Antiquity to the Early Modern Age
timetable:
Mon 17 Jun, 9:30 - 11:00, Sala Stemmi
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The diagrams of Euclid's Elements. Plane geometry, arithmetic, irrational magnitudes and solid geometry
speaker: Ken Saito (Osaka Prefecture University)abstract: Each proposition of Euclid's \textit{Elements} is accompanied by a diagram in mediaeval manuscripts which practically constitute exclusive source of our knowledge of this work. I have already discussed some features of the diagrams mainly in plane geometry, and showed how the diagrams in today's editions are different from those the manuscripts provide. In this communication I sum up my researches and give an overview of the manuscript diagrams of the \textit{Elements}, including those in arithmetical books (Books VII-IX), and in the theory of inexpressible (irrational) magnitudes (Book X).
timetable:
Mon 17 Jun, 9:30 - 11:00, Sala Stemmi
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