..[*n 
the denfity s remaining, the accelerative force of A 
(proportional to its magnitude) will be increafed 
in the triplicate of that ratio, that is, we now have 
/ — hr,,* *■ P uttin s d = u 
And the three bodies, A, B,C, reprefenting the fun, 
moon, and earth ; likewife Q being the ratio of the periods 
F x 
of the earth and moon, it is — =: ^ (by the corol- 
lary quoted in Art. II.). Whence ~ = — . 
VI. This accelerative force of A remaining, ima- 
gine the lemidiameter S G to be reduced to its 
former magnitude S V ; and the denfity of A will, 
at the fame time, be increafed to s 1 and 
M 
in — Qf’ 
In which cafe, namely, when the apparent femi- 
diameters of A and B (the fun and moon) are equal, 
their powers to raife a tide at v, a vertex of C, will 
be as the denfities s\ m * : that is, as M the ratio 
of the earth’s mafs to the moon’s, and Q l the du- 
plicate ratio of the year and month. 
Or thus : The diftances of the bodies, A, B, from 
the third C, being very great, their powers to raife 
a tide at v t or their difturbing forces cn the ocean, 
will be dire&ly as their accelerative forces at the 
centre of C, and inverfely as their diftances from 
it: that is, writing a y b y for the difturbing forces re- 
fpedtively ; and for the fun’s diftance in femidiameters 
F <p 
of C, the Letter z , it will be a : b — : — . 
7 z a 
* See the la ft page of Dr. Sanderfon’s Fluxions : 
ingenious T. Simplon’s Mifcdlaneous Tradls, p. 13. 
or the late 
For, 
