Task: Translation
Input (English): English sentence: In fact Jacobi's interests in mathematics were very wide and while in Rome he took the opportunity to satisfy his interest in the history of mathematics working on manuscripts of Diophantus 's Arithmetica which were kept in the Vatican.
Output (Tagalog): Sa katunayan Jacobi ng interes sa matematika ay masyadong malawak at habang sa Roma niya kinuha ang pagkakataon upang masiyahan sa kanyang interes sa kasaysayan ng matematika nagtatrabaho sa manuscripts ng Diophantus' s Arithmetica na kung saan ay iningatan sa Vatican.