![]() ![]() Thus, it took four different cases to include all possible quadratic equations. My version follows.”Ĭardano did not write the general form for a quadratic equation as we do, namely \ but instead only allowed positive coefficients and solutions. Armed with this assistance, I sought out its demonstration in forms. He gave it to me in response to my entreaties, though withholding the demonstration. ![]() Richard Witmer, reads, “Scipio Ferro of Bologna well-nigh 30 years ago discovered this rule and handed it on to Antonio Maria Fior of Venice, whose contest with Niccolo Tartaglia of Brescia gave Niccolo occasion to discover it. The page below (folio 29 verso) shows the start of Chapter XI, About the Cube and First Power Equal to a Number. In fact, there are places in the book where he gave credit to the originator of a particular method (e.g., Tartaglia). Here is the title page:Īlthough he didn’t claim to be the first to come up with the techniques in the Ars Magna, Cardano was the first to publish a compilation of the known methods for solving polynomial equations up through degree four. It was actually the tenth in a series of volumes Cardano wrote for a work he called Opus Perfectum, or The Perfect Work. Cardano’s Ars Magna, published in 1545, is often considered the start of a comprehensive theory for solving algebraic equations. Renaissance man Gerolamo Cardano was a physician, mathematician, gambler, and writer. ![]()
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