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Phases of the Anmilar Eclipse of the Sun^ which zvill happen 

 Sunday, May 15. 1836, calculated for the Observatory of 

 Edinburgh, Lat. 55° 57 20'' north, Long. 3° 10' 54" zvest. 

 By Mr Robert Treat Paine, of Boston, United States. 



The elements of the eclipse were computed from the lunar 

 tables of Burckhardt, for every half hour, and from the solar 

 tables of Carlini, corrected by Bessel, for every hour, during 

 the continuance of the eclipse on any part of the earth. The 

 ellipticity of the earth was considered j^th, and the sum of the 

 semi-diameters of the sun and moon reduced 5'" for irradiation 

 and inflexion. This quantity appeared necessary from a great 

 number of observations of the annular eclipse of February 12. 

 1831, and the total eclipse of November 30. 1834, made in the 

 United States. But if this correction be rejected, the eclipse 

 will begin earlier by 14^4, and end later by 12^5. 



The parallaxes of the moon in latitude and longitude were 

 computed by the method of the altitude of the nonagesimal and 

 tbe apparent distance of the moon therefrom, with the greatest 

 c^re ; and no correction, however small, was neglected. 



Mean Solar Time at Edinburgh. 



h m s o / 



Eclipse begins May 15. 1836, 1 32 64.9, at 133 15from vertex to the right. 

 Formation of the ring, . . 2 56 59.7—167 16 

 Apparent conjunction in the 



ecliptic, 2 58 59.0 



Nearest approach of centres, 2 69 6.4 



Rupture of the ring, . . .3 111.5—. 63 39 from vetex to the left. 



End of the eclipse, .... 4 19 8.3 — 36 12 



Duration of the ring, ... 4 1 1.8 

 the eclipse, . . 2 46 13.4 



At the nearest approach"! j" North limbs 73 ".70 



of the centres of the > distance of the -< Centres 22 .25 



Sun and Moon j ( South limbs 29 .20 



.As the semi-diameters were equally reduced for irradiation, 

 &c., a rejection of this correction will not affect the times of the 

 formation and rupture of the ring ; but, as has been already 

 remarked, many observations of the central eclipses of February 

 1831 and November 1834 shew this correction to be absolutely 

 necessary. Robert Treat Paine. 



