34- MifceUanea Curio fa. 



ing to Mr. Newton\ Rule for giving the Sine 

 from the Arch : And if * be no more than a 

 Degree, a very few fteps will fuffice for all the 

 accuracy that can be defired. 



And if «t be commenfurable to <*, that is, if 

 it be a certain number of thofe Arches with 



which you make your Integer^ then will be 



that number : which if we call tbe parts of 

 the Meridional Line will be found to be, 



' i y>£ 4r &c. 



gr+ $ r* 7***- 



C into <i tLSl &c ' 



1120 r 4 ' 360 r 8 

 ~ I <fc«, &C. 

 5040 r < 



In this,the firft two fteps are generally fuffici- 

 ent for Nautical ufes,efpecially when neither of 

 the Latitudes exceed 60 degrees, and the dif- 

 ference of Latitudes doth not pafs 30 degrees. 



But I am fenfible I have already faid too s 

 much for the Learned, tho' too little for the 

 Learner*, to fuch 1 can recommend no better 

 Treatife, than Dr. Wattish precedent Dif- 

 courfe, wherein he has with his ufual brevity, I 

 and that perfpecuity peculiar to himfelf, hand- 1 

 led this Subject from the firft Principles, which 

 here for the molt part we fuppofe known. 



I need not fhew how, by regrefllve work, to 

 find the Latitudes from the Meridional Parts,! 

 the Method being fufficiently obvious. I lhalL 

 only conclude with the propofal of a Problem 



which 



