MATHEMATICAL PAPERS. 1g 
Then, in the the right-angled fpherical triangle VSE, SE and 
the angle VES are known 5 -from which we can find the fide 
SV, 3° 55° 33% If this be increafed in the ratio of 12‘ 
47"; or ‘to 15¢18"', 21, we fhall have the fide SN, Mercu- 
ry'$ diftance from the node, 4^ 41'59''. Subtracting pue i 
7^ 20° 26° 36^ the fun's place at the time of ex 
junction, (by Mayer's tables) we fhall have the eof Mes 
ry’s afcending node in ¥,.15° 44’ 37". 
- Again, ‘in the right-angled fpherical triangle SNE, the fides 
SE and SN are given: From thefe we can find the angle SNE 
the inclination of €: $ orbit to the yi af E et 
"i à pd x rti : 
puti g the place of Mercury's node an the inclina- | 
T Meca e iile wey wich d eolit "This say ieron 
puted from the obfervations of the contacts, But a very finall 
error in thofe obfervations, will produce a very confiderable one 
in see. T. Was s therefore PAAA beft to deduce it 
