Background
Borromeo was born in Genoa, the daughter of duke Marcantonio of Mondragone and Maria Antonia Imperial.
Borromeo was born in Genoa, the daughter of duke Marcantonio of Mondragone and Maria Antonia Imperial.
Borromeo was educated in several languages, mathematics, natural science and mechanics. She was educated first by her mother and then in a convent, but it is unknown where she received education in the subjects she became known foreign
She spoke eight languages and was interested in geometry, natural science and mathematics. She was famous for her ability to solve every mathematical problem presented to her. Borromeo was described as an independent person, which was regarded as eccentric because it was not considered natural for her gender.
One of her guests was Antonio Vallisneri (1661–1733).
She founded the academy nell"Academia Vigilantium Clelia in her salon in Milan, which was active in 1719–1726. During the war in 1746, Borromeo took the side of Spain against Austria and was therefore exiled.
When she was allowed to return to Milan, she was celebrated as a heroine. In 1728, Borromeo discovered the so-called Clélie curve: q = mƒ.
When the longitude and co-latitude of a point P on a sphere are denoted by q and ƒ and if P moves so that q = mƒ, where m is a constant, then the locus of P is called a clélie.
Borromeo died in Milan. The city of Genoa honored her with a medal with the inscription Genuensium Gloria (The Honor of Genoa).