( H3 ) 
of the Principal, and thereby the Principal and fntereft conti- 
nually leflens,ti!l the whole be paid off. Now by this means the 
Mortgagee, after the Arrear is difcharged, pays Comp. Intereft, 
with the utmoft rigour, for fo much per' Annum of the Rent, as 
exceeds the Intereft of the whole Principal Mony, and receives 
but Simple Intereft for his Debt ; which, however flrange it 
may (eem, is eafily prov’d, by applying the proper Theorems 
of Simple and Compound Intereft to this Cafe, in which the 
Annuity, Principal Money, Rate and Arrear of Intereft are 
given, and the time requir’d ; the refult being the fame with 
that of the Chancery Method, except a very fmall difference 
only when any part of the time is exprefs’d by a Fraction : viz. 
putting L for Logarithm, «. — a — />r=30, j=i-fr=r,o3, 
t— time of contracting the Arrear — jo Half-years, »=: 
any number of r - Years fpent in difcharging the whole or any 
part, number of Years required; the Equation for the 
Arrear' will b Qp rt + pm — an; and for the Principal and ac- 
i”— i 
crueing Intereft pm 4 " p — prn _j_- * «. Whence 
prt L a — L a. 
] — =AI=i6,7i49 x ears— the time demanded 5 
ZCC 
2 Ls 
p y t 
i. e. r — = 5 Years = the time of difcharging the Arrear, and 
Z cc 
11,7149 years, — the time in which the Prin- 
zLs 
cipaland accrueing Intereft is difeharged; during which its evi* 
dent, the Mortgagee pays full Compound Intereft for 60 1 . 
per Annum of the Rent. For th£ Corre&ion of which inequa- 
lity, in the firft Place, to the end that neither Branch may ex- 
ceed, or be depriv’d of its due Profits; This general Rule is 
propos’d as neceftary to be always obferv’d, viz. That A- 
mountsof the Produce on each fide be ftated (eparately, and 
fet againft each other in the Account, in order to a BaUance^ 
And in the common Cafes of Mortgages, Government, and 
S Stocfc- 
