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We describe the results in the trigonometry of tetrahedra obtained by Joseph Wolstenholme in the last few years of his life. ‘The late Professor Wolstenholme, M.A., Sc.D., shortly before his death, handed to me a scrap of paper, on which he had hastily scratched the following equation in tetrahedra, saying he had proved it …’ (Richardson, 1897).

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