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Danti was born in Perugia to a family rich in artists and scientists. As a boy he learned the rudiments of painting and architecture from his father Giulio, an architect and engineer who studied under Antonio da Sangallo, and his aunt Teodora, who was said to have studied under the painter Perugino and also wrote a commentary on Euclid. His older brother Vincenzo Danti would become one of the leading court sculptors of late-sixteenth-century Florence, while his younger brother Girolamo (1547-1580) would become a local Perugian painter of little fame.