Dourado, Thiago Augusto Silva; Flament, Dominique; Luchetta, Valéria Ostete Jannis; Milies, César Polcino H. G. Grassmann’s “Die lineale Ausdehnungslehre”. (“Die lineale Ausdehnungslehre” de H. G. Grassmann.) (Portuguese. English summary) Zbl 1490.01026 Rev. Bras. Hist. Mat. 21, No. 42, 275-293 (2021). Summary: Here we present a brief introduction to Hermann Günther Grassmann’s Ausdehnungslehre, one of the main works of 19th century mathematics, especially in its foundational aspect. We present a brief biography of Grassmann, some consequences of the work and the reason for its difficult acceptance by contemporary mathematicians. Finally, we include a German excerpt of the work and its translation. MSC: 01A55 History of mathematics in the 19th century 01A75 Collected or selected works; reprintings or translations of classics Keywords:Portuguese translation of Grassmann’s Ausdehnungslehre Biographic References: Grassmann, Hermann Günther PDFBibTeX XMLCite \textit{T. A. S. Dourado} et al., Rev. Bras. Hist. Mat. 21, No. 42, 275--293 (2021; Zbl 1490.01026) Full Text: DOI