. Leonardo da Vinci, artist, thinker and man of science;. tin is barbarous and his 1 The fact of these borrowings has been estabhshed by Hubert Janitschek in theKunstchronik of 1878 (no. 42), and by Jordan in the Jahrhuch for 1880, vol. i.,p. 112-118. See also Winterberg and Uzielli (second edition, vol. i., p. 451). \\e mustnot forget, however, that Pacioli, far from concealing his indebtedness to Piero, proclaimsit with enthusiasm : E anco con quello promette darve piena notitia de prospectivamedianti li documenti del nostro conterraneo et contemporale di tal facolta ali tempinostri Monarca


. Leonardo da Vinci, artist, thinker and man of science;. tin is barbarous and his 1 The fact of these borrowings has been estabhshed by Hubert Janitschek in theKunstchronik of 1878 (no. 42), and by Jordan in the Jahrhuch for 1880, vol. i.,p. 112-118. See also Winterberg and Uzielli (second edition, vol. i., p. 451). \\e mustnot forget, however, that Pacioli, far from concealing his indebtedness to Piero, proclaimsit with enthusiasm : E anco con quello promette darve piena notitia de prospectivamedianti li documenti del nostro conterraneo et contemporale di tal facolta ali tempinostri Monarca Maestro Petro de Franceschi, di la qual già feci dignissimo compendioe per noi ben apreso. E del suo caro quanto fratello Maestro Lorenzo Canozo daLendenara. (Winterbergs edition, p. 123.) 2 Uzielli, 2nd edition, vol. i., pp. 388 ct seq. * See Narducci, Iiitorno a due Edizioni della Summa de Arithmeiica di Fra LucaPacioli, Rome, 1863. ^ His last biographer, M. Uzielli, nevertheless credits him with having popularisedthe highest branches of .MuDtL UF LETTER COMlOSED I(V FUK THE TKEATISE 1)EDIVINA PROPORTIONE. FRA LUCA PACIOLI 249 Italian unworthy of a Milanese, to say nothing of a Tuscan. Inspite of his mediocrity he was, however, superior to Leonardo inone point—he gave the results of his labours to the world, while thegreater master jealously guarded his from the knowledge of hiscontemporaries. The fact that Pacioli never refers to Leonardo in his preface, whilehe mentions a crowd of other living artists,^ justifies us in supposingthat his acquaintance with the great painter did not begin tilllater. It was not, infact, until 1496 that heentered the service ofthe Sforzi. Lodovicoappointed him professorof arithmetic and geo-metry in the Universityof Pavia. His pay wasmodest enough, for whilea professor of civil lawenjoyed an annual salaryof 3,600 lire, he receivedno more than 310. From1496 to 1499 Pacioliworked side by side withLeonardo, to whom hedevo


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