Bernhard Riemann’s original manuscript on the hypotheses underlying geometry

Abstract Although Bernhard Riemann’s manuscript Über die Hypothesen, welche der Geometrie zu Grunde liegen $$[$$ On the Hypotheses Underlying Geometry $$]$$ , which he presented as trial lecture as part of his habilitation , has been thoroughly studied by both mathematicians and historians of mathematics, none of these investigations appear to have focused on the original handwritten manuscript. This note aims to draw attention to the manuscript, which has been freely accessible online for some time. It also highlights some of the most interesting aspects of this valuable historical document.