1 8 Mifcellanea Curio fa. 



propofed Parajlel ( of Latitude) given ; we are 

 to find f by the Trigonometrical Canon ) the 

 Sine of fuch Latitude *, and take, equal to it, 

 C L=S. And, by this, find the magnitude of 

 E G L M, Fig. 9 ; that is, of R E L/, Fig. 8. 

 that is, of R E L/ Fig. 6, And then, as R 

 RLE for fo many times the Radius,,) to R E 

 Lf ( the Aggregate of all the Secants ; ) fo 

 muft be a like Arch of the Equator f equal to 

 the Latitude propofedj to the diftance of 

 fach Parallel, f reprefenting the Latitude in the 

 Chart ) from the Equator. Which is the thing 

 required. 



5<5. The fame may be obtained, in like man- 

 ner, by taking the Verfed Sines in Arithmeti- 

 cal Progreflion. For if the right Sines f as here ) 

 beginning at the Equator, be in Jlrithmetical 

 Progreflion, as i, 2, 3, &c. Then will the Ver- 

 fed Sines, beginning at the Pole, fas being 

 their complements to the Radius ) be fo alfo. 



The Collettion of Tangents. 



57. The fame may be applied in like man- 

 ner, f though that be not the prefent buflnefs,,) 

 to the Aggregate of Tangents, (anfwering to 

 the Arch divided into equal parts.,) 



58. For, thofe anfwering to the Radius fo 



divided, are -g- ; f taking S mArithmetical'VxQ- 

 greflionO 



59. And then, enlarging the Bafe, ( as in 

 Fig. S.) or the Tangent fas in Fig. 9.) in the 

 proportion of the Tangent to the Sine. 



