Mijcellanea Curio fa. 



{hall leave the profecution of them, and the 

 compendia ariiing therefrom -,to his own Induftry. 

 Contenting my felf to confider only theformer, 

 which for all ufes feems the molt convenient, 

 whether we delign to make the whole Meri- 

 dian Line, or any part thereof, viz., 



1 int0 + w + w A 'W &c - 



Wherein a is the length of any Arch which 

 you defign (hall be the Integer or Unity in 

 your Meridional Parts,(whether it beaMinute, 

 League, or Degree, or any other J S the Co- 

 iine of the Middle Latitude, and s the Sine of 

 half the difference of Latitudes; but the Se- 

 cants being the Reciprocals of the Co-fines, 



j-will be equal to —putting /for the Secant 



of the Middle Latitude ; and — into ~ will 



1 a b 



be= — This multiplied by ~ that is by 

 wHl give the fecond ftep : and that 



3 rrrr-i 



gain by ~™: 7 the third ftep ? andfo forward, 



till you have compleated as many places as you 

 defire. But the fquares of the Sims being in 

 the fame ratio with the Verfed-fmes of the dou- 

 ble Arches, we may inftead of ^^aflumefor 



our Multiplicator jpr* or the Verfed-fine of 



the 



