From these Elements (which are adapted to Dr. Halley’s general Table for the Motion of Comets in parabolic Orbits), I computed the places of this Comet for the respective times of the foregoing observations, as in the following table; which contains likewise the longitudes and latitudes deduced from the observed right ascensions and declinations, and also the differences between the computed and observed places. These differences (no-where exceeding 40") shew, that the elements here set down will be sufficient to enable future astronomers to distinguish this Comet upon another return; but as they do not correspond with the elements of the orbit of any other Comet hitherto taken notice of, we cannot determine at present the period thereof. Greenwich, 1757.| Comet. Long.| Mean Time. | Observ. | Latit. Observ. ----------------+--------------+-----------------+ _d._ _h._ '| S. ° ’ " | ° ’ " ----------------+--------------+-----------------+ Sept. 12 16 2 | ♊ 29 34 13 | 11 32 16 No. 13 12 37 | ♋ 2 35 34 | 11 12 13 14 14 0 | 6 27 45 | 10 44 3 ----------------+-------------+-----------------+ 17 13 0 | 17 49 40 | 9 3 31 19 15 17 | 26 6 8 | 7 36 49 23 15 57 | ♌ 11 19 18 | 4 33 38 ----------------+-------------+-----------------+ 24 15 21 | 14 44 19 | 3 49 37 28 16 22 | 27 23 43 | 1 3 44 No. 30 16 24 | ♍ 2 45 43 | 0 5 30 So. ----------------+-------------+-----------------+ Octob. 2 16 48 | 7 37 43 | 1 5 50 3 16 45 | 9 51 36 | 1 32 22 4 17 0 | 12 1 4 | 1 56 42 ----------------+-------------+-----------------+ 7 16 54 | 17 51 3 | 2 56 48 8 16 53 | 19 39 45 | 3 13 7 11 16 52 | 24 47 22 | 3 48 49 17 17 12 | ♎ 4 38 58 | 4 15 42 So.