[ 453 ] 
If this method be applied to the occultation of a 
ftar, the diftances CD, CE, CF muff be the paral- 
laxes in longitude computed according to the firfi: of 
the preceding proportions united with the refpedlivc 
diftances of the moon from the ftar in longitude, con- 
tracted in the proportion of the cofines of the moon’s 
latitudes, or at leaft of the flar’s latitude to the ra- 
dius. Alfo the moon’s apparent latitudes mult, for the 
moft part, be corrected by the third corollary of the 
third proportion, and the apparent diameters, if the' 
correction could amount to any fendble quantity, by 
the 4th corollary. 
t 
THE proportion, I made mention of above for efti- 
mating the diftance of the true conjunction from the 
virble, is this. Fig. 8. In any circle, whofe diameter 
is AB, let the arch AC meafure twice the comple- 
ment of the declination of any point in the ecliptic 
CD 5 in like manner meafure twice the complement 
of the latitude, and AD, BD being drawn, let DE 
be the verfed fne of the diftance in right afcenhon, of 
that point of the ecliptic from the meridian taken to 
a radius equal to the perpendicular let fall from C 
upon the chord AD j then BE will be the hne of the 
diftance of the point affumed in the ecliptic from the 
horizon,’ to a radius equal to the diameter of the 
circle. 
Therefore, if the diameter of the circle be the mea- 
lure, upon any fcale of equal parts, of the moon’s ho- 
rizontal parallax, and the point taken in the ecliptic 
be 90° diftant from the moon’s apparent longitude 
the right afcenfion and declination of this point be- 
ing 6rft taken from tables of right afcenhon and decli- 
na.tion» 
