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The case which Ferreo had solved by some unknown process was the equation x^3 + px = q, and the new forms of cubic equation which Tartaglia elaborated were as follows: x^3 + px^2 = q: and x^3
At length it was agreed that, to overcome the difficulty, it should be given out that the celebrated Tartaglia of Rimini would present himself at Pianura with his company of comedians, among whom was the popular favourite, Mirandolino of Chioggia, twin brother of the Signorina Miranda Malmocco, and trained by that actress to play in all her principal parts.
It would have ill become me to dispute the excellent ecclesiastic's wishes, and Tartaglia and the rest of the company having been sworn to secrecy, I reappeared that very evening in one of my favourite parts, and was afterward carried back to the monastery in the most private manner.
Emil, Pantaleone, and the poodle Tartaglia accompanied him to the corner of the street. Pantaleone could not refrain from expressing his displeasure at Gemma's reading. 'She ought to be ashamed! She mouths and whines, una caricatura! She ought to represent Merope or Clytemnaestra something grand, tragic and she apes some wretched German woman!
In his reply to Jerome's scolding letter of February 12, 1539, Tartaglia concludes with a description of the instruments which he was perfecting: a square to regulate the discharge of cannon, and to level and determine every elevation; and another instrument for the investigation of distances upon a plane surface.
He protested that Tartaglia might search from beginning to end without finding any trace of his jealously-guarded rules, inasmuch as, beyond correcting a few errors, the writer had only carried Algebra to the point where Fra Luca had left it.
At this epoch there was a young Venetian, Count Carlo Gozzi, who wrote for the Venetian theatre, and may be considered as having first invested with the dignity of literary expression the typical figures of Italian comedy Pantaleone, Harlequin, Tartaglia, etc.
In his reply, Tartaglia ignores Jerome's courtesies altogether, and tells him that what he especially desires at the present moment is a sight of that volume on the Practice of Arithmetic, "for," says he, "if I do not see it soon, I shall begin to suspect that this work of yours will probably make manifest some breach of faith; in other words, that it will contain as interpolations certain of the rules I taught you."
From the passage quoted below he seems to have failed to win the goodwill of the Brescians, and to have found Venice a city more to his taste. It is probable that the contest with Fiore took place after his final withdrawal from his birthplace to Venice. In 1537 Tartaglia published a treatise on Artillery, but he gave no sign of making public to the world his discoveries in Algebra.
Tartaglia sat before his sovereign, all huddled up, with dejected tail, and eyes blinking and twitching in confusion, under the peak of his cap which was stuck on awry; from time to time when Napoleon raised his voice, Bernadotte rose on his hind paws.
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