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...On the works of euler and his followers spherical geometry athanase papadopoulos to cite this version hal halid https archives ouvertes fr preprint submitted sep is a multi disciplinary open access l archive ouverte pluridisciplinaire est for deposit dissemination sci destinee au depot et la diffusion de documents entific research whether they are pub scientifiques niveau recherche publies ou non lished or not may come from emanant des etablissements d enseignement teaching institutions in france francais etrangers laboratoires abroad public private centers publics prives athanasepapadopoulos abstract we review comment some start by presenting memoirs trigonometry s use methods calculus variations then survey series geometrical resuls where stress analogy between results corresponding euclidean elaborate two such rst one knownaslexell theorem lexell was student concerns locus vertices triangle with xed area given base counterpart result euclid elements but it much more dicult prove tha...