138 CONSIDERATIO 



Non folum igitur fbrmulae initio commemoratae 

 integrationem per arcus fed:i*>num conicarum admit- 

 tunt , fed etiam innumerabiies aliae , quae per fubfti- 

 tutionem ad formam JdxV y_^ ^ & reduci patiuntur, 

 cuiusmodi funt 



f dz y /-f-gae _ rj yfxx+g , f r yfyy—fh+gb 

 1 • J zz v b-^-kzz — -_/« l v bxx-t-k- b> a J v yj — k 

 r , V ' ''■ +- k?z) 



pofito a;=i etj^ - 



• o /_______ j f/7rV xx " s — ** fdv V Jts ~t* -■ 



* •Jzz1{J-4-gz*H3-&zz*)--~fJ u * r bxx-+-jk-gb-bJ u J r tyy-jk+gb 



pofito xzz * * et y-z - ' 



-o r ^ - fe MzV f ~*~ ?zz ^/.fcV--- 5 



3 7 Vu-+-S^)l»-+-fe«a) -"Jfc-f-go-' AH-*az / *—_.«./ M * r /-+-_,»* 



cuius formulae reductio etiam ita inftituitur : 



/*____________ / r/vi / fe " gxx -O- g fJvV fxx ~~ h 



J 1U-+-i>zzX->-t-kzz) — fk—gbj ax Y Jxx-i}~t~fk—gt>J HA v k— s xx 



/-_ -i/*-+- 6 z * 



pofitO ^ — y-^rr-- 



vel etiam fic : 

 r dz CJ.V 1 — Exx. (j -■/ i—fyy 



J Hf + gzz){b-t-kzz)—J" x V b-i-(fk— gb)xx~J a J y k-^ji-jk.yy 

 pofltO X~vu-+-g~z) et ^-"VU+.za)» 



Ponamus zzzzw atque obtinebimus fequentes formulas, 

 quae pariter per arcus fectionum conicarum conftrui 

 poteri nt : 



dvV(f-\-gv) JvV( f-\-trv ) 



'J \ v{b-\-kv) * '* vV vsp-r-iv) 



dvVv _ . dv 



**'*V^£F)J>-t-to) * ™ V«V-+_vj05-i-Aw) 



5* 



