The purpose of this publication is to present the English translation of "Commentarium 1940-1944 geometres Gheorghe Vranceanu" , BOD Verlag, 2020, together with some copies of the more visible pages as documents. Gheorghe Vranceanu was a member of Romanian Academy, president of its Mathematics Section and Vice-President of the International Union of Mathematicians. In the 60-70 ties he was considered as one of the most important scientiests in Geometry.