[1][2] In 1672 he published his first book, Euclides Danicus, simultaneously in Copenhagen and Amsterdam, in Danish and Dutch respectively.
This book, proving the Mohr–Mascheroni theorem 125 years earlier than Lorenzo Mascheroni, would languish in obscurity until its rediscovery in 1928.
[1][4] As well as his work on geometry, Mohr contributed to the theory of nested radicals, with the aim of simplifying Cardano's formula for the roots of a cubic polynomial.
The two visited Gottfried Wilhelm Leibniz in France and John Collins in England together.
He married Elizabeth von der Linde of Copenhagen on 19 July 1687, and soon after returned to Holland; their son, Peter Georg Mohrenthal, eventually settled in Dresden as a bookseller and publisher.