Cardan was an irascible man, and it is a high tribute to his powers of
restraint that he managed to keep his temper under the uncouth insults of
such a letter as the foregoing. The more clearly Tartaglia's jealous,
suspicious nature displays itself, the greater seems the wonder that a man
of such a disposition should ever have disclosed such a secret. He did not
believe Cardan when he promised that he would not publish the rules in
question without his (the discoverer's) consent--why then did he believe
him when he swore by the Gospel? The age was one in which the binding
force of an oath was not regarded as an obligation of any particular
sanctity if circumstances should arise which made the violation of the
oath more convenient than its observance. However, the time was not yet
come for Jerome to begin to quibble with his conscience. On May 12, 1539,
he wrote another letter to Tartaglia, also in a very friendly tone,
reproaching him gently for his suspicions, and sending a copy of the
_Practice of Arithmetic_ to show him that they were groundless. 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. Tartaglia searched, and though he could not
put his finger on any spot which showed that Messer Hieronimo had broken
his oath, he found what must have been to him as a precious jewel, to wit
a mistake in reckoning, which he reported to Cardan in these words:
"In this process your excellency has made such a gross mistake that I am
amazed thereat, forasmuch as any man with half an eye must have seen
it--indeed, if you had not gone on to repeat it in divers examples, I
should have set it down to a mistake of the printer." After pointing out
to Cardan the blunders aforesaid, he concludes: "The whole of this work of
yours is ridiculous and inaccurate, a performance which makes me tremble
for your good name."[99]
Public-domain text, read in full here on John Shaqi.
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