E698 -- Variae speculationes super area triangulorum sphaericorum

(Several speculations about the area of spherical triangles)

Summary:

According to Eneström, "Here, after other things, Euler gives a geometric proof of the Lexell Theorem about the location of the vertices of equally flat spherical triangles with a shared baseline."

Publication:

Originally published in Nova Acta Academiae Scientarum Imperialis Petropolitinae 10, 1797, pp. 47-62
Opera Omnia: Series 1, Volume 29, pp. 253 - 266

Documents Available:

Original Publication: E698
Johan Sten has made both a translation and transcription of E698 available at Ian Bruce's page Mathematical Works of the 17th Century.

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