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Here is a French translation and commentary of 17 problems in Peter Roth'sArithmetica Philosophica (1608). These problems are dealing with algebraicequations of degree 5 or 6; moreover, among these problems, 14 are also dealingwith stereometry and polygonal numbers. These 14 problems are the only ones, inthe Arithmetica Philosophica, to combine these three distinct topics in asingle setting (algebra, stereometry, polygonal numbers).

Quelques probl\`emes issus des Arithmetica Philosophica de Peter Roth