Greenwich, 1757.| | | Diff. | Diff. Mean Time. | Long. Comp. | Latit. Comput. | Long. | Latit. ----------------+----------------+---------------+-------+-------- _d._ _h._ '| S. ° ’ " | ° ’ " | " | " ----------------+----------------+----------------+-------+------- Sept. 12 16 2 | ♊ 29 34 11 | 11 32 20 No. | -2 | +4 13 12 37 | ♋ 2 35 47 | 11 12 11 | +13 | -2 14 14 0 | 6 27 42 | 10 43 43 | -3 | -20 ----------------+----------------+----------------+-------+------- 17 13 0 | 17 50 16 | 9 3 11 |+36 |-20 19 15 17 | 26 5 50 | 7 36 30 |-18 |-19 23 15 57 | ♌ 11 19 4 | 4 33 32 |-14 | -6 ----------------+----------------+----------------+-------+------- 24 15 21 | 14 44 3 | 3 49 39 |-16 | +2 28 16 22 | 27 23 32 | 1 3 52 No. |-11 | +8 30 16 24 | ♍ 2 45 39 | 0 5 17 So. | -4 |-13 ----------------+----------------+----------------+-------+------- Octob. 2 16 48 | 7 37 42 | 1 5 32 | -1 |-18 3 16 45 | 9 51 29 | 1 31 55 | -7 |-27 4 17 0 | 12 0 25 | 1 56 23 | -39 | -19 ----------------+----------------+----------------+-------+------ 7 16 54 | 17 51 6 | 2 56 24 | +3 | -24 8 16 53 | 19 39 33 | 3 12 28 | -12 | -39 11 16 52 | 24 47 47 | 3 49 29 | +25 | +40 17 17 12 | ♎ 4 38 36 | 4 15 2 So. | -22 | -40 LIII. _The Resolution of a General Proposition for Determining the_ horary _Alteration of the Position of the Terrestrial Equator, from the Attraction of the Sun and Moon: With some Remarks on the Solutions given by other Authors to that difficult and important Problem. By Mr._ Tho. Simpson, _F.R.S._ [Read Dec. 22, 1757.] SINCE the time, that that excellent Astronomer, my much honoured friend Dr. Bradley, published his observations and discoveries concerning the inequalities of the precession of the equinox, and of the obliquity of the ecliptic, depending on the position of the lunar nodes, mathematicians, in different parts of Europe, have set themselves diligently to compute, from physical principles, the effects produced by the sun and moon, in the position of the terrestrial equator; and to examine whether these effects do really correspond with the observations. Two papers on this subject have already appeared in the Philosophical Transactions; in which the authors have shewn evident marks of skill and penetration. There is, nevertheless, one part of the subject, that seems to have been passed over without a due degree of attention, as well by both those gentlemen, as by Sir Isaac Newton himself.