C 7 ° 3 
redt motion in the quadrant CPA will be di- 
minifhed. 
But this mean motion will be diminifhed fomewhat 
likewife from the inequable defcription of the areas 
(i n prop. 26. lib. iii.) : on which account, the cubes 
of the didance PT mud be every where increafed 
or diminifhed in the duplicate ratio of the moments 
of time in which a given little angle is delcribed, to 
the mean moment at the odtant *. 
12. By computing from thefe principles, it will 
be found ; 
1. That the angle CTP , which was of 35° if f 
52" in the circle, will, in the oval orbit, be dimi- 
nifhed to 340 43' 34". 
2. That the ratio of the mean of the cubes of the 
moon’s didances in the arc CP, to the cube of the 
mean didance, will be exprefs'd by 1.023916 (=g) 
and 
* To exprefs the diftance PT by s the fine of the angle CTP , 
in an ellipfis not very eccentric : from any point P draw PIC an 
ordinate to the axis CD, and meeting the circumfcribed circle in 
M-, draw likewife ^//"perpendicular to TP produced. Then put- 
ting TC—i,- TA—d, L~~ d . = t j by conjoining the ratio's of TP 
d 
Tf . 
to PR, PR to PM, PM to Pf, it will be TPt=—r~~ • in which 
I — j — rj 
for the variable numerator T f , we might, bccaufe of the fmallnefs 
of the angle PTM, write unity : but taking it rather of its mean 
quantity m (—.999987 in the moon’s orbit) the diftances, whofe 
cubes are to be fummed, will be — ~ — .* 
i+fj* 
And the ratio of the moments of time to the mean moment le 
that of 110.23 to 109.73-!-*% by prop . 26. lib. iii. 
