Correspondence on various mathematical theories and calculations, mainly pure, but some applied, and miscellaneous papers on scientific matters. The correspondents include, among others, C.G. Allen, A. Cayley, U.J.J. Le Verrier, J. Murray, P.A. Secchi, I. Todhunter and J. Tyndall. The papers include a set of traverse tables; a newspaper cutting titled 'La Caravane Bazerque', a printed paper headed 'Draft Scheme for the Endowment of Scientific Research'; a paper titled 'An Hypothesis of the Universe'; a diagram of a pyramidal structure emitting light titled 'Vue du Moteur Lumiere Fayol Rue de l'Orne'; and a printed notice with two diagrams of an arrowhead from Illinois, U.S.A.