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Updated: May 18, 2025
In his diary it stands with a superadded note, in which he remarks that he thinks as badly of Cardan as of Colla, and that, as far as he is concerned, they may both of them go whithersoever they will. Colla propounded divers questions to the Algebraists of Milan, and amongst them was one involving the equation x^4 + 6x^2 + 36 = 60x, one which he probably found in some Arabian treatise.
Every sect, as one knows, is a ground of error; there are no sects of geometers, algebraists, arithmeticians, because all the propositions of geometry, algebra and arithmetic are true. In every other science one may be deceived. What Thomist or Scotist theologian would dare say seriously that he is sure of his case?
The French are the originators of this particular deception; but if a term is of any importance if words derive any value from applicability then 'analysis' conveys 'algebra' about as much as, in Latin, 'ambitus' implies 'ambition, 'religio' 'religion, or 'homines honesti, a set of honorablemen." "You have a quarrel on hand, I see," said I, "with some of the algebraists of Paris; but proceed."
Bryant, in his very learned 'Mythology, mentions an analogous source of error, when he says that 'although the Pagan fables are not believed, yet we forget ourselves continually, and make inferences from them as existing realities. With the algebraists, however, who are Pagans themselves, the 'Pagan fables' are believed, and the inferences are made, not so much through lapse of memory, as through an unaccountable addling of the brains.
He smiled as he thought how his sister had made her husband in this present predicament what algebraists call a "negligible quantity." He would have been less easy had he known that the man he left felt keenly a sense of imperilled honour and of insult which his relation to Grey forbade him to avenge. He had become a man alert, observant, and quick to see his way and to act.
Thus I shall venture to use potence, in order to express a specific degree of a power, in imitation of the Algebraists. I have even hazarded the new verb potenziate, with its derivatives, in order to express the combination or transfer of powers.
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