page 237 note * I should mention that I had not observed Mr. M.'s adjusted table when I commenced my own.

page 237 note † The absence of closer coincidence may be partly the result of error committed by me. But there are specialties in the operations which disentitle us to expect perfect coincidence.

page 238 note * This will be apparent to all when it is mentioned that, for a single rate of interest, the number of values to be formed for three lives is 161,700, and for four 3,921,225—so rapidly do the numbers increase by the addition of another life.

page 239 note * It is well worthy of remark that the numher thus determined is independent of the absolute ages of the lives forming the given combination. It depends only on their difference. It is thus the same, for instance, whether the lives be (15·22), (16 23), (20 27), (65·72), &c., It is also independent of the rate of interest.

page 239 note † 185, 249, &c., are the tabular differences.

page 240 note * It is obvious that if it be desired to construct a table for any specified difference of age, a great saving of labour will be effected by the adoption of the process just exemplified.