The following notes were put together in order to collect into a convenient form for reference a few ideas as to what may have been the procedure adopted in the Graduation of the Annuitants' Experience.

The Student is greatly indebted to Mr. Hardy for the information given both in the volume, “Account of the Principles and Methods, &c,” and for affording subsequently, in his Lectures on Graduation, the opportunity to follow his work, and is again fortunate in having, for purposes of reference, the stores of information to be found in Mr. Ackland's paper to the Faculty, and Mr. Todhunter's Reviews in Vols. 38 and 43 of the Journal.