Q: How did Europe's interaction with the Islamic world contribute to the later emergence of the Scientific Revolution?

A: Byzantine science played an important role in the transmission of classical knowledge to the Islamic world and to Renaissance Italy, and also in the transmission of medieval Arabic knowledge to Renaissance Italy. [ Its rich historiographical tradition preserved ancient knowledge upon which splendid art, architecture, literature and technological achievements were built.
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Mathematics
Byzantine scientists preserved and continued the legacy of the great Ancient Greek mathematicians and put mathematics in practice. In early Byzantium (5th to 7th century) the architects and mathematicians Isidore of Miletus and Anthemius of Tralles used complex mathematical formulas to construct the great ?Hagia Sophia? temple, a magnificent technological breakthrough for its time and for centuries afterwards due to its striking geometry, bold design and height. In late Byzantium (9th to 12th century) mathematicians like Michael Psellos considered mathematics as a way to interpret the world. ]

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