[1] Her childhood was overshadowed by an accident when she fell off her horse at a wedding party, which caused her to be confined her to her bed for significant periods of time.
[2] Her physician, Dr. Johann Heinrich Hegner, however, noticed her aptitude for mathematics and began to teach her.
[3] Henceforth, she studied mathematics using the books of Leonhard Euler, Gabriel Cramer, Pieter van Musschenbroek and Jérôme Lalande.
She was active as a teacher of mathematics and was the instructor of Ulrich Hegner and Heinrich Bosshard von Rümikon among others.
[3] Several contemporaries commended Reinhart in their work, such as Daniel Bernoulli who praised her for expanding and improving the pursuit curve as discussed by Pierre Louis Maupertuis.