= (134) 



feu 



U u [z' cof.*- ^' 4- (///* z* (m^ ^' -*\ t) cof.* a] 



'' e i •'—* iS fm. a cof. a fa (;«' s* fiii^. (3f — w 2; cof* (3^— fin. (30 



j- — fin. |3^(;;r :!;^ — i) ?] tt 

 — fin.'- a (wf's* ,^ fin.* (30> (2 a — = o. 



Coefficiens termini ^^x\v(\\ uu eft r= s 5; fin." a cof.' |3 , ob 

 «- cof.' 5'' -f- //f 2" fin.' (3^ = T (§. a.^. Hinc aequatio fit: 



, -v- fi .«'^ cof.- p^ . M « ^ — ^2 cot. a [a-fin. j3' («As!. -^,-1 J? 

 * " "^ ■' '^ ^' " — a ;// :3 co (?' p' — fi n . (3^ (w'- 'xs' — i ) ;] « 



^(///- z^- -^ fm." (30 f (2 a — .r) rz: o i 



cuiiis loco fcribanuis , u:i-i- 



^^ // z/ — 2 (B — C ?/ — D (2 a/; — / /) = o. 

 Sic aequationcm invenimus faris inconcinnam , quod nec ali- 

 ter evenire potcrat , cum linea q Q non fit diameter curvae 

 ^MC^. Pofito enim t—.d:^qK^ ordinata tranfirct per cen- 

 tnim K fedionis conicae , adeoque foret pariter dian etcr , fi 

 ^Q elfet diameter i verum in acquaiione noftra , pofito /na, 

 cocfficicns ipfius u non evanefcit. Nequc plus commodi af- 

 fertur , fi acquatio ad diametros principales qiiaeratur. Ea 

 enim evolutio ad calculum perducit tam prolixiim, qui omni 

 omnino ufu carcrct. Unde nihil fupereft; nifi ut ope aequii- 

 tionis punda dctermincntur principalia , per eaque methodo 

 lilpnt iam adhibita circulus ducatur. Ceterum quia planum 

 ^ M Q fcmper ad axem coni O C cft normale , fcquitur cui* 

 vam q M Q nunquam fieri pofle hypcrbolam vcl parabolam. 

 Sed nequc circulus cftc potcft: fumto enim t — qK — o.^ ae- 

 quatio noftra fit : 



Att«-h 1 Jti z d ucoi. a. cof " |3'' — D a « =- o. 



Si iam curva cflct circulus , appli(atam e K prolongatam per 



cen- 



