Titlebook: Automated Deduction in Geometry; 9th International Wo Tetsuo Ida,Jacques Fleuriot Conference proceedings 2013 Springer-Verlag Berlin Heidel

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Conference proceedings 2013, held in Edinburgh, UK, in September 2012. The 10 revised full papers presented together with 2 invited papers were carefully selected during two rounds of reviewing and improvement from the lectures given at the workshop. The conference represents a forum to exchange ideas and views, to present re

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Proof and Computation in Geometry, to algebraic computations. But this does not produce computer-checkable first-order proofs in geometry. We might try to produce such proofs directly, or we might try to develop a “back-translation” from algebra to geometry, following Descartes but with computer in hand. This paper discusses the rel

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Improving Angular Speed Uniformity by ,, Piecewise Reparameterization, . piecewise M?bius transformation. By making use of the information provided by the first derivative of the angular speed function, the unit interval is partitioned such that the obtained reparameterization has high uniformity and continuous angular speed. An iteration process is used to refine the

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Extending the Descartes Circle Theorem for Steiner ,-Cycles,r bases or resultants for the equations of inscribed or circumscribed circles. As a result, we deduced several relations that could be called the Descartes circle theorem for .?≥ 4. We succeeded in computing the defining polynomials of circumradii with degrees 4, 24, and 48, for . = 4, 5, and 6, res

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From Tarski to Hilbert,s of the first twelve chapters of Schwab?user, Szmielew and Tarski’s book: .. The proofs are checked formally within classical logic using the Coq proof assistant. The goal of this development is to provide clear foundations for other formalizations of geometry and implementations of decision proced

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