[ 559 ] 
L. fin. 30 0 — — 1 .6989700 
L. fin. 8o°=r — 1.99335 15 
2 L. fin. 55°m — x. 8267290 
— 1. 5190505 — log. of 0.330408 
and 2 L. fin. 25 0 — — 1.2518966— log. of 0.178606 
Log. of the fum . . . 0.509014 is — 1.7067297 
Whofe half is — 1.8533648 
the L.lin. of 45 0 3 1 7 , the double of which is 91 0 2', or 5462 geogra- 
phical miles. 
And feeing the lines TS, TQ, reduced to minutes 
of a degree, are 6255.189 and 3255.189 refpe&ively. 
and the angle STV is 63° 5' -f, the right line SQ^on 
the map will be 5594/, exceeding its juft value by 
13 1 ' or of the whole. 
7. The errors on the parallels increafing faft to- 
wards the north, and the line S Q^having, at laft, 
nearly the fame dire&ion, it is not to be wondered 
that the errors in our example fhould amount to 
Af* Greater ftill would happen, if we meafured the 
diftance from O to Q^_by a ftraight line joining thofe 
points : for that line, on the conic furface, lying 
every-where at a greater diftance from the fphere 
than the points O and Q, muft plainly be a very 
improper meafure of the diftance of their correfpon- 
dent points on the fphere. And therefore, to pre- 
vent all errors of that kind, and confine the other 
errors in this part of our map to narrower bounds, it 
will be beft to terminate it towards the pole by a 
ftraight line KI touching the parallel OQJn the 
middle point K, and on the eaft and weft by lines, 
as H I, parallel to the meridian thro’ K, and meet- 
ing the tangent at the middle point of the parallel 
S V in H. By this means too we fhall gain more 
fpace than we lofe, while the map takes the ufual 
re&angular 
