Mif.cettanea Curiofa. 33 

 it by I know not what Method, tho' in the reft 

 of his Table he follows Oughtred. 



And this may fuffice to (hew how to derive 

 the true Meridian Line from the Sines, Tan- 

 gents, or Secants fuppofed ready made but 

 we are not deftitute of a Method for deducing 

 the fame independently, from the Arch it felt. 

 If the Latitude from the Equator be eftimated 

 by the length of its Arch A, Radius being U- 

 nity, and the Arch put for an Integer be as 

 before \ the Meridional parts -anfwering to that 

 Latitude, will be 



±'mtoA HA*W 4 A< ^3§M>r J*r\: 

 4 9 or A\ &c. 



which converges much fwifter than any of the 

 former Series, and befides has the advantage of 

 A encreafing in Arithmetical progreffion, which 

 would be of great eafe, if any fhould undertake 

 de novo to make the Logarithm Tangents, or the 

 Meridian Line to many more places than now 

 we have them. The Logarithm Tangent to 

 the Arch of 45 -I- i A being no other than the 

 aforefaid Series A ~Y\ A } 1~** 7 A\ &c. in 

 Napeir's form, or the fame multiplied into 

 0,43429, &c. for Briggs. 



But becaufe all thefe Series toward the latter 

 end of the Quadrant do converge exceeding 

 flowly, fo as to render this Method almoft ufe- 

 lefs, or at leaft very tedious : It will be con- 

 venient to apply fome other Arts, by afTuming 

 the Secants of fome intermediate Latitudes - 7 

 and you may for s or the Sine of a the Arch 01 

 half the difference of Latitudes, fubftitute a— 

 ? *' +" ih * s 't * 7 T T^Im* 9 ? &c. accord- 



D jog 



