* [These proofs are really due to our constant and most valued contributor, Mr. R. F. Davis, who discovered them In 1874, while an Undergraduate at Queen’s College, Cambridge. Mr. Davis published them in the Messenger of Mathematics, Vol. IV., p. 102, and in the Gazette, Vol. I., p. 40, It is curious that such simple proofs have not found their way into general use. It is perhaps worth noting that they will be found in Sir Robert Ball’s forthcoming Spherical Astronomy.

In 1878 Isaac Todhunter characterised the proofs as “interesting and elegant,” and intended to introduce them into a new edition of his Spherical Trigonometry. J. Casey in 1888 wrote of “these beautiful proofs” that “they are certainly new to me, and I Have no doubt they are original.” He also expressed his intention to insert them in an Appendix to his Spherical Trigonometry, We are glad to have the opportunity of once more drawing attention to them. W.J.G.]