Thursday, 29th. First part moderate breezes and Cloudy; remainder fresh breezes and Clear. P.M. loosed all the Reefs out, and got Topgallant Yards a Cross. Variation per Azimuth 16 degrees 12 minutes, per Amplitude 16 degrees 32 minutes; Mean of the Two 16 degrees 22 minutes East. Between 9 and 10 a.m. took 7 sets of Observations between the sun and moon to find the Longitude of the Ship. Each set Consists of three Observations; the Mean of the whole gave 59 degrees 18 minutes 34 seconds West of Greenwich. The result of each set was as follows: viz., 1st set, 59 degrees 8 minutes; Second, 59 degrees 21 minutes; Third, 59 degrees 34 minutes; Fourth, 59 degrees 17 minutes; Fifth, 59 degrees 11 minutes 45 seconds; Sixth, 59 degrees 19 minutes 30 seconds; and the Seventh, 59 degrees 20 minutes 45 seconds. The greatest differance between any two--viz., the first and third--is but 26 minutes, and the mean of these two differ from the mean of the whole only 2 minutes 26 seconds. This shews to what degree of accuracy these observations can be made even by Different Persons, for four of these were made and computed by Mr. Green and the rest by myself. The Longitude given by the Ship, reckoning from the last Observation 5 Days ago, differs only 8 Miles from the Observation, which shews that we have not been in any Currents. Soundings from 40 to 47. Wind North-Easterly; course South 46 degrees 30 minutes West; distance 81 miles; latitude 41 degrees 45 minutes South, longitude 59 degrees 37 minutes West. Friday, 30th. Little wind, and sometimes Calm; the first part Clear weather, remainder Foggy and Hazey. Soundings from 44 to 49 fathoms; Grey sandy Bottom. Caught both this Morning and last Night a great Number of insects. Some were upon the Wing, but the greater part were upon the water, and many of these alive and of such sort as cannot fly far; and yet at this Time we could not be less than 30 Leagues from Land. Wind variable; course South 30 degrees West; distance 54 miles; latitude 42 degrees 32 minutes South, longitude 60 degrees 15 minutes West. Saturday, 31st. Cloudy weather, with some Lightning and a few showers of rain. Variation 18 degrees 36 minutes East. Soundings from 46 to 50 fathoms; fine dark sand. Wind South-Easterly; course South 18 degrees West; distance 43 miles; latitude 43 degrees 14 minutes South, longitude 60 degrees 26 minutes West. [January 1769.]