212 JEROME CAIIDAN. 



or minorite friar, Luca Paccioli, commonly called Fra 

 Luca di Borgo, of Borgo San Sepolcro. He is the same 

 Fra Luca whose errors Cardan pointed out in his " Arith- 

 metic." Luca di Borgo had been trained at Venice by 

 Domenico Bragadini, and having increased his knowledge 

 by long travel in the East, taught his science afterwards 

 at Naples, Venice, and Milan, in which last place he was 

 the first who filled a chair of mathematics. It was founded 

 for him by Lodovico Sforza. He had many disciples/ 

 whom he names in his works. He translated Euclid into 

 Latin ; or, more properly speaking, he revised the already 

 existing translation of Campanus, and augmented it with 

 notes. He also wrote several treatises, that were printed 

 between the years 1470 and 1494, the last being entitled 

 (in the second edition) " Summa de Arithmetica, Geo- 

 metria, Proportioni e Proportionalita, nuovamente im- 

 pressa in Toscolano su la riva dil Benacense e unico car- 

 pionista laco: amenissinio sito," &c., the rest of the title- 

 page is further praise of the place in which the good monk 

 had resided during the printing of his book; the same 

 lake of Benacum, or Lago di Guardo, in which Cardan, 



dosius. Memmius, a noble Venetian, translated at the same time 

 Apollonius, Venatorius (Jager?) and Herweg, printers of Basle, pub- 

 lished in 1544 a Latin translation of Archimedes and his commentator 

 Eutochius. Tartalea, in 1557, translated the fifteen books of Euclid 

 into bad Venetian Italian, with a commentary. See Montucla's His- 

 toire des Mathematiques, vol. i. bk, 3. 



