According to some witnesses to her neighbors she was gracious of appearance and, given her wisdom, she moved at ease in a world of men, demonstration of an exceptional character, for that time. As Suida says, Byzantine intellectual, and confirms Philostorage, in his Ecclesiastical History: “Hypatia became much better than the master (the father Teone) and ended up being herself a teacher of many in the mathematical sciences.” He had a particularly effective teaching and fluent argument and rushed to Alexandria from all sides to listen to it. After the destruction of the Temple of Serapid, he only taught at home. Little prone to frivolity, had an ascetic nature. We know for sure, because all sources agree to testify to him, that how much Hypatia had died in life and feelings so much was direct, almost brutal, in the way of doing and talking.
Most likely Hypatia was, in its time, the number one in mathematics. Hypatia’s contribution to his father’s activity seems indisputable; for example, although Teone did not invent astrolabe, he actively participated in his development and refinement, and Hypatia largely related with this tool (see Appendix 5 and vertical display case). The comments written by Teone (see Appendix 3) on the greatest work of Ptolemy (about 100- 170), the Almagest, according to some scholars, owe themselves largely to the hand of his loving daughter. Teone considered her superior to herself in mathematics and Damascio, the last school of the Athens Academy, in her Life of Isidoro, she wrote about her as a “woman poured into geometry”.
According to Suida, Hypatia wrote comments to the Conics of Apollonius of Pergamo (262 BCE- 190 BCE) (see Appendix 6) and to the Diophantus’ Arithmetics of Alexandria (200/214 CE-284/298 CE)(v. Appendix 7). The name of Hypatia is then associated with a work called by the astronomical Canon sources, probably a commentary to the Easy Tables of Tolomeo within the commentary of Teone, who writes “released edition by my daughter, the Hypatia philosopher”. Regarding the machines that probably made students build, we can only mention with certainty a flat astrolabe, a hydroscope, which attracted the attention of the great mathematician Fermat, and an aerometer, to stick to what is reported by Sinesium; all the rest is illation, or conjecture. But the great merit of Hypatia and his father Teone, was to preserve the classic texts of mathematics and, among them, especially the Elements of Euclide.