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Gaussian iteration of mean values and the existence of 2^(1/2)
35-42Views:33We propose a method for proving the existence of √2 and finding its approximate value in secondary education. -
Approximated Poncelet configurations
163-176Views:33In this short note we present the approximate construction of closed Poncelet configurations using the simulation of a mathematical pendulum. Although the idea goes back to the work of Jacobi ([17]), only the use of modern computer technologies assures the success of the construction. We present also some remarks on using such problems in project based university courses and we present a Matlab program able to produce animated Poncelet configurations with given period. In the same spirit we construct Steiner configurations and we give a few teaching oriented remarks on the Poncelet grid theorem.
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