(220 ) 
{xlained.he hath fliewn,how to take it in the Libratory Circle. As for 
hiiMotion of Latitude^ indeed that is a little different ; buc I can a- 
gain a(rurehi«i,not much better than Mr. Hamje^i^ to whom we are 
indebted for this Contrivance. Mean tiine,whenhehath done what he 
can, it will not fiiew the true place to half a degree. 
I have therefore thought of another Contrivance,not fo Iarge,nor 
trpubl^fom as his, that fliall fhew the Moons true place to a minute 
or two without error, and with an Infl:rument,no larger than his, to 
kfs than a fingle minute* 
And becaufe Ifind by correfting the Suns motions by Signor 
Caffini's obfervations, that his Inequalities are 5 minutes lefs in his 
wea^ diftance j and that the motion of Latitude needs correftion 5 1 
lhall amend both, as I think and find fit,in this Inftrument ; which, 
with the Place and Latitudes will give the Moons Semi-diameters 
and Parallaxes to a fecond. 
ihe JExtraif of the other Letter. 
IThink,! have been fince my lafta little better employed than be- 
fore. J[ found it Hecefrary,tomake New SQUr Numbers, becaufe 
in my old I had neglefled to apply Refra£fi$m in all the Altitudes 
above 30 degrees 5 wherein yet Reafdn and fome little Experience 
hath fliew'd m^they are not infenfible. I found Signor Cafflmz Ob- 
fervations, which ! cook from Ricciolta Aftr$n0mia refermata^ 
much moreaccurate than 2)'^^f>'s,and therefore fought out Numbers 
that might anfwer them. ; The Apoghm I found it neceflary to pro- 
mote 44 miniites^fo that Anm ineunte 165 5.it might be in ^ 7°. 30'. 
o" ; and to make the greateft Equation only i* .54'- 1 3". whereby I 
fopnd, i\it$hdimmem,y)!0\A^^ muct more accurately 
than I expeSeci,^nd as near, all things. confider'd,as I could defirc. 
But ftilf l was uncertain^whether the Refrafiions in the faid^^^j^- 
nH Tables were juft meafures or not ; and I had no conveniencies 
for making trial At laft, I thought on this Expedient, which fully 
fatisfiediije^ , 
I confider'd, that if fome of thofe Obfervations af the Diftances 
of 2 from the o by day, the Stars in the sight preceeding or follow- 
ing,were skilfully examin'd;xhey might fhew me the true Quantity 
of the Equations of the Suns Orb, or rather the Difference of his 
mean and equal Motion.! turn'd over his trogymmfm^tt^.^vA pitch- 
ed on two. The j?r/?inade J. 1 5 8 5. the gth.of -Mi«rc)&,hor.4.42'.and 
hor.7. 1 2'. p.m ; whereby I found,the 0 at hor.4.42'. was 94 .47'.ip 
antecedence of the L«d4^ f^/f^^. Thtfeco/^dmside A. 15S5. the 
i.Sth.S^^/^/m^.hor.s.i s'.and hor.6.55»w^/?<?. Where-from(applying 
and 
