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of places from Cape Leeuwin to the Sound, these accelerating rates have been used; and the longitude has been further corrected by allowing an equal proportion of the error, 8' 19", according to the number of days after Nov. 1, when the last observations were made at the Cape of Good Hope. In the Appendix, the nature of these corrections is more particularly explained. [* The situation of Bald Head, in captain Vancouver's chart, is 35 deg. 6' 40" south, and 118 deg. 16' 30" east from lunar observations which were not corrected for the errors of the astronomical tables. The situation assigned to Bald Head in the voyage of the French admiral D'Entrecasteaux, is 35 deg. 10' south, and 118 deg. 2' 40" east; but since the admiral passed it at six in the evening, and in blowing weather, an error of a few minutes may have entered into both latitude and longitude.] The height of the thermometer at the tents, as observed at noon, varied between 80 deg. and 64 deg.. On board the ship, it never exceeded 701/2 deg., nor was below 60 deg.. The range of the barometer was from 29,42 inches in a gale of wind from the westward, to 30,28 inches in a moderate breeze from south-west. Mean Dip of the S. end of the needle, taken onshore, 64 deg. 1' On board, upon the cabin table, 64 deg. 52'. The increase being probably occasioned by the iron ballast in the bread room underneath. The _Variation_ given by three compasses at the observatory was 6 deg. 221/2' west, by Walker's meridional compass 5 deg. 25', and by the surveying theodolite 8 deg. 17'; but upon the _eastern_ part of the flat granite rock, on the south side of the sound, two theodolites gave only 4 deg. 1' west. On board the ship, at anchor off Point Possession, the variation from the three compasses on the binnacle., when the head was southeastward, was 9 deg. 28'; or, corrected to the meridian, 7 deg. 12' west. It seems not easy to say what ought to be considered as the true variation; but the mean of the observations at the tents being 6 deg. 42', and on board the ship 7 deg. 12', I conceive it will not be far wrong if taken at 7 deg. 0' west. This is what I allowed in tracing a base line upon the beach between the two harbours; and the back bearings from different stations did not vary more than a degree from it, except at the _west_ end of Michaelmas Island, where the variation, in one spot, was _greater _by 3 deg.. The above different vari
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