Correspondence on mathematical and scientific matters, including the polyhedric fan by S.M. Drach; ways of finding the area and circumference of a circle; proof of roots of equations; papers for mathematics examinations at University College, London; convergent series by A. de Morgan; ancient Egyptian notations by C. Rodgers; methods of reduction for the Indian survey; the explosive power of steam boilers compared to gunpowder; a French astronomy and physics review; a paper by P.E. Chase on various scientific activities; the velocity of oscillating pendulums; a record of an earthquake in Nottinghamshire; C. Gooch's paper on the 'Record of Creation'; and a French article on Newton and Leibnitz. The correspondents include, among others, I. Todhunter, W.H. Miller, M. Faraday, R.I. Murchison, W.J.M. Rankine, H.W. Cookson, C. Pritchard, H. Graham, H. Spencer and J.N. Lockyer.