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Updated: June 2, 2025
Subsequently Tartaglia wrote very bitterly against Cardan, as the latter mentions in De Libris Propriis.
He then goes on to describe to Tartaglia the progress he is making in his work with the Practice of Arithmetic, and to ask him for help in solving one of the cases in Algebra, the rule for which was indeed contained in Tartaglia's verses, but expressed somewhat obscurely, for which reason Cardan had missed its meaning.
The Book of the Great Art was not published till six years after Cardan had become the sharer of Tartaglia's secret, which had thus had ample time to germinate and bear fruit in the fertile brain upon which it was cast. It is almost certain that the treatise as a whole leaving out of account the special question of the solution of cubic equations must have gained enormously in completeness and lucidity from the fresh knowledge revealed to the writer thereof by Tartaglia's reluctant disclosure, and, over and beyond this, it must be borne in mind that Cardan had been working for several years at Giovanni Colla's questions in conjunction with Ferrari, an algebraist as famous as Tartaglia or himself. The opening chapters of the book show that Cardan was well acquainted with the chief properties of the roots of equations of all sorts. He lays it down that all square numbers have two different kinds of root, one positive and one negative, vera and ficta: thus the root of 9 is either 3. or
"Non ha datta fora tal opera come cose composto da sua testa ma come cose ellette raccolte e copiate de diverse libri a penna." Quesiti et Inventioni, p. 127. Perhaps he wrote them down as an apology or a defence against the storm which he anticipated as soon as Tartaglia should have seen the new Algebra.
How far this discovery of Ferrari's covered the rules given by Tartaglia to Cardan, and how far it relieved Cardan of the obligation of secresy, is a problem fitted for the consideration of the mathematician and the casuist severally. An apologist of Cardan might affirm that he cannot be held to have acted in bad faith in publishing the result of Ferrari's discovery.
To this request Tartaglia replied that, if at any time he might publish his rule, he would give it to the world in a work of his own under his own name, whereupon Juan Antonio moderated his demand, and begged to be furnished merely with a copy of the thirty questions preferred by Fiore, and Tartaglia's solutions of the same; but Messer Niccolo was too wary a bird to be taken with such a lure as this.
Tartaglia was the guardian of the prima amorosa, whom the enamoured Briton pursued; and in the Columbine, when she sprang upon the stage with a pirouette that showed her slender ankles and embroidered clocks, Odo instantly recognised the graceful figure and killing glance of his masked beauty.
The difference between them was, that my uncle Toby drew his whole knowledge of projectils from Nicholas Tartaglia My father spun his, every thread of it, out of his own brain, or reeled and cross-twisted what all other spinners and spinsters had spun before him, that 'twas pretty near the same torture to him.
A terrific Don Spavento in cloak and sword played the jealous English nobleman, Milord Zambo, and the part of Tartaglia was taken by the manager, one of the best-known interpreters of the character in Italy.
Towards the beginning of the third year, which was in August, ninety-nine, my uncle Toby found it necessary to understand a little of projectiles: and having judged it best to draw his knowledge from the fountain-head, he began with N. Tartaglia, who it seems was the first man who detected the imposition of a cannon-ball's doing all that mischief under the notion of a right line This N. Tartaglia proved to my uncle Toby to be an impossible thing.
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