IN FLVinO. 83 



!t 'rt a 3.8>n.a 4.6-)-Tiitja 



4 1« 



2tfw-n, «^ ^,^^. Confcqucntcr habcbitiir .r— i^tr»)/ 



7 » 



S.? I :m a 



.iM-n ■aff^9'm-n) n f _£2i^-n} .. > ^Yt". Q.lia lv.iec fc- 



3.8fn'o +.64m'ja <.<i;m'a' 



rijs c.iin liabct prDprictutcin , \t cx loc^niithmis 

 iioruni c(l , vt (Imima cjus minor fit tcrmino pii- 

 mo , maiiitelhim eft quo niiiior fit fraftio ^;^ , eo 

 niagis c:im couuergcre, et pronide eo clTc puudum 

 reucrfionis altius fitum. 



§. 2S. Sit pro afccnfi curua AN, in qui, Fic. 4. 

 dida AQ;iz;^ fit QjSl—f, Cilt S ;:m,iJ(if—^im-u)nhuc!t 



--3nf 

 )3.,,;,- 8mo_<r ., 3, 



—8(m-n)iiiiibJu, fcu ^^.w^wt ^'""-d^w.V/^-f- 

 ^^viir,nut—g{m—ii)nnhu. Ncque vcro hacc cuiua ha- 

 bct punctuni flcxui contrarii, fcu quoquc in infinitum 

 vniformitcr protenditur, non vcro vt prior, qucm- 

 admodum parubohi, fed fcre vt hyperbola. Multo 

 cnim magis ab axe diuergit quam iUa. Si ex hac 

 tautochrona afcenfui inlcrvicns conllrucnda fir, 

 oportct dcfcribcre curuam ad cundcm axcm , cujus 

 arcus fmt appUcatis QN acquales. Hujus tautochro- 

 nae pundum reuerfionis hibcbitur, fi capiatur //— 



\- ^ "^-") V/^-f gjli-,'' ^JLlLctc, fcmpcrcrgo efl al- 



nb 



am 



3 . Sm a 46 4m'aa 



tius fitum , (luam in curua pro defccnfu , ct funt 

 prorfus cafus, vbi in infinitum cxcnrrit , aut nuUibi 

 cxi(lit,id quod eucnit (\ :^{m—n)nf ciX acqualc vcl ma- 

 jub quam hmma, 



L a §. 29. 



