X 



4 DE REDfCT/O.YE UNEARVM CFRJ'ARFM. 



Deinde vero eft </i=zV (</.v*-|-i^*):=:</v(^-H2<7V) et 



Ex h:ic aiitcm acquationo natuni curuac quacfitac nQn 

 tam facilc pcrlpicitur , quam cx pracccdcntc. 



Coroll. 2. 



jj 23-51 fucrit B initium cuolut:ic BR , crit AB~b , 



'*■ '■ ct dudla rc(fla BAl crit B ^\. — V (j y-\- {b-x )") lit B 



M~«, crit zads^ndu ct ^as~uu-lfd. ideoquc j~ 



""" Vndc cuma hanc quoquc habcbit propricratcm , 



4 a 



vt lit diamctcr cuolutae^ B R ad B M - A B ita B /\1 

 AB ad arcum AM. 



Thcorema. 2. 



fig. 4. 24.. Si arcus AM amplirudinis ANM in duas par- 



tes nequc amphis AM^, M^M diuidatur , atquc in nor- 

 maicm M^N'' ex N pcrpcndiculum NP^ dcmittatur ; 

 lougitudo curu;\c A M proximc acquabitur arcui circuli ccn- 

 tro N inter crura N A , N M dcfcripti radio m 



A N -4- MN ->- a^^/P/ 

 4 



Dcmonflratio. 



Ponatiir amplitudo totius arcus AM'M fcu nngulus 

 ANM — av, erit arcuum AM'', ct M'M ampluudo 

 m u. Concurrant normalcs M N ^ et M N in V , crunt- 

 qiic anguh AN^^M^^v ct M^VM — ^y; idrrx^ue in tri- 

 angulo V N N' ifofcclc N N^- N V ct N^P '^VP''. 

 Pcr pracccdcns autcm thcorcma crit 



