Supposing 22′ 57′′ for difference of latitude at the conjunction, we have an error With 22′ 57′′ difference of latitude at conjunction there results 10′ 57′′ 10 for 1" of inflection do. do 18h 40 03" 1 Note. The altitudes and longitudes of the nonagesime have been calculated with the latitude diminished by the vertical angle corresponding to 333 334, for the proportion of the axes: I have omitted the forms which I made use of, and have only given the calculation of the parallaxes to shew the method I have used, which is the same with that of Cagnoli.-See his treatise of trigonometry, printed in Paris, page 411–427. Determination of the difference of latitudes at the conjunction. It will appear by the annexed table of the occultation, as observed in the capital of Porto-Rico and different places in Europe, that the mean difference of latitudes at conjunction, (supposing 1" of inflection) is 22′ 58′′ 00. The emersion at Paris was observed rather late, as appears by a comparison of the observations, and consequently cannot be much confided in; the observations at Figueras and Ferrol are not the most proper in order to determine the latitudes at conjunction, because the center of the moon passed near to the star, we shall therefore confine ourselves to those of Gotha and Porto-Rico, which give 22′ 57′′ O without risk of an error of 1". If we diminish the horizontal polar parallax of the by 4" ‹ according to the theory of Laplace, there would have resulted a difference of latitudes at conjunction by the observations at Porto-Rico and Gotha-22′ 56". E Determination of the longitude of Porto-Rico west of Paris. Conjunctions at Paris resulting from three suppositions. 1. By the immersions and emersions at Paris, Gotha and Figueras, reduced to the national observatory. 2. Supposing 22' 57" difference of latitude at the conjunction, and making use of the immersions with 1" of inflection. 3. Making use of the same difference of latitude at the conjunction with 2" inflection. Conjunction at Paris by observations. Supposing 22′ 57′′ difference of latitudes at conjunction and 1′′ of inflection we have If we suppose the proportion of the difference of the earth axes 1-300, it diminishes the difference of meridians between Porto-Rico and Paris, 1" diminution of the parallax, =-2" 65 + 2 14 I" more in the horary motion of longitude. + 3 70 If we suppose the polar horizontal parallax diminished 4", conformably to Laplace's theory, it would increase the longitude of Porto-Rico by 8" 5 of time: in this case the longitude of Porto-Rico would be (4 33′ 51′′ 2+8′′ 5)=4′′ 33′ 59′′ 7 According to Triesnecker. 4 33 58 6 The variations in the elements, have no sensible influence on the difference of meridians between the observations in Europe. So that we may consider the above results to have as much accuracy as the observations can possibly be susceptible of. No. XXXVII. The geographical position of sundry places in North America and in the West Indies, calculated from astronomical observations: By Jose Joaquin de Ferrer. Elements by the tables at 13h 00′ 00′′ mean time or 12h 49′ 50′′ 1 apparent time at Paris. Semidiameter. Proportion of the equatorial and polar diameters of the earth 334: 333. Conjunction at Paris, by the observation on the Island of Leon apparent time, 12 47 42 2 by the observation of Mr. Mechain, Do. 12 47 35 8 Mean At New-Orleans, 12 47 39 0 6 37 53 0 Longitude of New-Orleans West from Paris. 609 46 0 Table of the results of longitude by the lunar distance observed with |