MATHEMATICAL PAPERS 49 
eclipfe. Let DE be —the moon's vifible latitude from the fun, 
at the beginning of the eclipfe, and CL the fame at the end. 
Let »M be drawn parallel to EOC ; then, ML = 585 will 
be the moon's vifible motion in latitude from the fun, during 
the eclipfe, and M? L, the vifible angle of the moon with the 
fun in the ecliptic.* Let)» be the diftance of the @’s and p's 
centers, at the beginning of the eclipfe, and OL the fame at the 
end; then the point at © will be the place of the ecliptic con- 
junction ; and the line © D, perpendicular to the ecliptic, and 
cutting the moon's vifible path »L in D, will be the moon's 
vifible latitude from the fun, at the time of the ecliptic con- 
jun&ion ; and the line © N, perpendicular to the vifible path, 
and cutting it in N, will be the leaft diftance of centers. 
»M 
: ! uis. Dez 3 5254296 
ib 0938,91 7675269 
10 
: Tangent angle MoL, £905 d 8 2421063 
Sine ake MOL, .— tö 2 8 2420401 
E a 12:589... ons oaa ROO 
ac Dee ug qe m ues - 
Pe 77 9993, 47 7 3 5254868 
2L | ELT 3 5254868 
: JOFLO © —- See 3904, 6 eR. 5915796 
2: »o—Loóo to d pe X 4, 0 ta i. - 6020600 
: Difference » N and LN 4, 6 o 6681528 
a G i? 
> The true fide ML is fo fhort in this fmall figure, that it was neceflary to in- 
ereafe it for the fake of illuftration ; but every one knows that the calculations are 
mot affected by it, the true length being ufed in them. 
Mo. Bot. Garden, 
1597. 
