and quoted ἀπὸ Γάδαρων. Had he read two sentences further, he would have found the mistake.
We here detect a person quite unnoticed hitherto by the moderns, Magnus the arithmetician. The phrase is ironical; it is as if we should say, "To do this a man must be deep in Cocker."[[24]] Accordingly, Magnus, Baveme,[[25]] and Cocker, are three personifications of arithmetic; and there may be more.
ON SQUARING THE CIRCLE.
Aristotle, treating of the category of relation, denies that the quadrature has been found, but appears to assume that it can be done. Boethius,[[26]] in his comment on the passage, says that it has been done since Aristotle, but that the demonstration is too long for him to give. Those who have no notion of the quadrature question may look at the English Cyclopædia, art. "Quadrature of the Circle."
Tetragonismus. Id est circuli quadratura per Campanum, Archimedem Syracusanum, atque Boetium mathematicæ perspicacissimos adinventa.—At the end, Impressum Venetiis per Ioan. Bapti. Sessa. Anno ab incarnatione Domini, 1503. Die 28 Augusti.
This book has never been noticed in the history of the subject, and I cannot find any mention of it. The quadrature of Campanus[[27]] takes the ratio of Archimedes,[[28]] 7 to 22 to be absolutely correct; the account given of Archimedes is not a translation of his book; and that of Boetius has more than is in Boethius. This book must stand, with the next, as the earliest in print on the subject, until further showing: Murhard[[29]] and Kastner[[30]] have nothing so early. It is edited by Lucas Gauricus,[[31]] who has given a short preface. Luca Gaurico, Bishop of Civita Ducale, an astrologer of astrologers, published this work at about thirty years of age, and lived to eighty-two. His works are collected in folios, but I do not know whether they contain this production. The poor fellow could never tell his own fortune, because his father neglected to note the hour and minute of his birth. But if there had been anything in astrology, he could have worked back, as Adams[[32]] and Leverrier[[33]] did when they caught
Neptune: at sixty he could have examined every minute of his day of birth, by the events of his life, and so would have found the right minute. He could then have gone on, by rules of prophecy. Gauricus was the mathematical teacher of Joseph Scaliger,[[34]] who did him no credit, as we shall see.
BOVILLUS ON THE QUADRATURE PROBLEM.
In hoc opere contenta Epitome.... Liber de quadratura Circuli.... Paris, 1503, folio.