I. Some further Confederations on the Breflaw 
Bills of Mortality. By the Jame Hand, &c. 
SIR, 
WHat I gave you in my former Difcourfe on thefe 
Bifls, was chiefly defigned for the Computation 
of the Values of Annuities on Lives, wherein I believe I 
have performed what the ftiort Period of my Obferva- 
tions would permit, in relation to exa&nefs, but at the 
fame time do earneftly defire, that their Learned Author 
Dr. Newman of Breflaw would pleafe to continue them 
after the fame manner for yet fome years further, that 
Co the cafiial Irregularities and apparent Dtfcordance in the 
Table, p. J99. may by a certain number of Chances be 
fe&ified and afcertain'd. 
Were this Calculus founded on the Experience of a 
very great number of Years, it would be very well 
worth the while to think of Methods for facilitating the 
Computation of the Value of two, three, or more 
Lives,- which aspropofed in my former, feems(aslam 
inform'd ) a Work of too much Difficulty for the ordi- 
nary Arithmetician to undertake. I have (ought, if it 
were poffible„ to find a Theorem that might be more 
concife than the Rules there laid down, but in vain ,• for 
all that can be done to expedite it, is by Tables of Lo- 
garithms ready computed, to exhibit the Raiiones of N 
to f in each fingle Life, for every third, fourth or fifth 
Year of Age, asoccafion (hall require and thefe Loga- 
rithms being added to the Logarithms of the prefent 
Value of Money payable after fo many Years, will give 
a Series of Numbers, the Sum of which will (hew the 
Value of the Annuity fought. However for each Num- 
ber of this Series two Logarithms for a fingle Life,three 
for two tives, and four for three Lives, mud neceflarily 
