(13) 
above double to the Errour committed in finding the 
M<wns Southings by h^t Age. 
Mr. Booker was the firft that gave any Direftions for 
the amendment of this Reckoning, and that was only to 
fubftrad an hour from the Times in his Ticfe-Table^zbont 
the firft arid laft garters of the Moon, becaufe the Neap^ 
Tides did not flow fo long zstheSprings^ by one Point of 
the Compafs. But Mr. Henry Philips^ a Pcrfon well known 
by his Works of Navigations was certainly, the firft that 
brought the loequalityto a Rule^ whole theory of the 
Tidesy and a T^^/e grounded on it, for the Tear 1668^ 
was printed in Mr. OldenburgUs Philofophical Tranfaffi- 
ons^ for the Month of April thdX Year, Nnmb.^j^, which 
was found much more conformable to Experience than 
wasexpefted. 
Having ffcquentOccafion to pais betwixt London and 
Greenwiih by Water, fome two Years agone, I took no- 
tice that the tides fddom held outfolong as Mv.Philips's 
Calculation gave them, and therefore in the Months of 
O&ober and November^ I began to obferve them more 
diligently, and procured them to be carefully noted by 
an ingenious Friend at tower-Wharfe. From thefe Ob- 
(er vations I raiftd a Correftion of Mr. Philip/s l<!umhers^ 
and caufed a Tide-Table to be made agreeable to it, which 
was Printed by Mr. Hook in his Philofophical CoUeBiom^ 
But the Weather then proving ftormy and unleafona- 
ble, Idurft not rely on thofe O^/erz^^^/i?;?^, oorthatCi?r- 
reSion^ and therefore in the Spring and Summer Months 
following of the Tear 1682, I fet to obferve them agaio^ 
and with the help of my Friends and Servants, I acted 
the Times of above 80 High-Waters at Tomr-Wharfe and 
Greenwich, whereby I found that the greateft and leaft 
differences betwixt the Moons true Southing 5 aad the 
High-waters, were not, as Mr. Vhilips had placed them^, 
at the FnUot New and Quarter Moons ^ but the greateft 
nearer to the Neaps, the leaft to the Highejl Spring-Tides, 
I found alfo, that the Inequality was not the fime that 
he had made it, and after a Trial or two, that I could 
reprefcatand anfwet ^bove 60 oith^k Obfermlions with 
