This letter of Tartaglia's bears the date of February 13, 1539, and after
reading it and digesting its contents, Cardan seems to have come to the
conclusion that he was not working in the right way to get possession of
this secret which he felt he must needs master, if he wanted his
forthcoming book to mark a new epoch in this History of Mathematics, and
that a change of tactics was necessary. Alfonso d'Avalos, Cardan's friend
and patron, was at this time the Governor of Milan. D'Avalos was a man of
science, as well as a soldier, and Cardan had already sent to him a copy
of Tartaglia's treatise on Artillery, deeming that a work of this kind
would not fail to interest him. In his first letter to Tartaglia he
mentions this fact, while picking holes in the writer's theories
concerning transmitted force and views on gravitation. This mention of the
name of D'Avalos, the master of many legions and of many cannons as well,
to a man who had written a Treatise on the management of Artillery, and
devised certain engines and instruments for the management of the same,
was indeed a clever cast, and the fly was tempting enough to attract even
so shy a fish as Niccolo Tartaglia. 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 ends with a
request that Cardan will accept four copies of the engines aforesaid, two
for himself and two for the Marchese d'Avalos.
Public-domain text, read in full here on John Shaqi.
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