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Received December 5, 1771. 
XL VI. Kepler’s Method of computing the 
Moon s Parallaxes in Solar Eclipfes^ de- 
monfir ated and extended, to all Degrees of 
the Moon s Latitude^ as alfo to the afign- 
ing the Moon s correfpondent apparent 
Diameter^ together with a co7^cife Appli- 
cation of this For77i of Calculation to thofe 
Eclipfes ; hy the late H. Pemberton, M*D^ 
F. R. S. Co7n7nunicated by Matthew Raper, 
Efq\ F. R. S, 
Read Dec. 5, H E calculation of folar edipfes' 
1771. having been generally reputed a very 
operofe procels, from the repeated computations, 
required of the moon’s parallaxes by their continually 
varying during the progrefs of the eclipfe, I was 
once induced to confider Kepler’s compendium for 
performing this, delivered in his Rudolphine tables, of 
which he had given a demonftration in his treatife 
entitled jf^jiro 77 omice pars optica. But this demon- 
ftration is perplext, and the method itfelf wants cor- 
rection, to render it pcrfeCt. Both thele defedts I 
endeavoured to fupply by the following propofitions,, 
■ by 
