r 95 r

tude, vvhich differed in nothing sroin the former, except bythe addition os complete tables of the hourly motions of theMoon (vvhich, as, is mentioned above, vvere wanting to theformer) and also one other table lhevving the increase os theMoon’s apparent diameter according-^ her altitude. Now,tho’ the tables of hourly motion, .uch I had fuppliedbesore, differed very little from these, yet I could not butlook upon it as a piece os justice due to the public, and tothe memory of the deceased learned author, to publish hislabours complete together. These tables are thereforeadded at the end of all. The number of these tables ofhourly motion is the fame as of mine, nor is there any ma-terial difference in form, except what occurs in the twotables of the hourly motion in latitude, mine being difpofedto fhevv the Moon’s motion in latitude anfwering to 32'. 56"motion in her orbit (vvhich is equal to her mean hourlymotion in longitude) and these tables of Mayer giving theMoon’s motion in latitude anfwering to a motion of onedegree or 6o'in her orbit, vvhich is a new and advantage-ous method, being well adapted to the use of logisticallogarithms, as will appear from the 2zd probiern.

Mr. Professor Mayer’s curious and elaborate Theory ofthe Moon’s Motions, according to the Newtonian System of

Gravitation,