4.0 m QfAmiT. TKAnSCENBENT. 



^ — /^ 5V(2ibfeH- 3 <?^-4«fe) : ideoquc 



f:^lV{3aa'\-i.aki-2kk)-\y(5aa-4rak-{-2kk) 



g-iVi^iaa+^ak+zkk^+^yitiaa-^ak+^kk) 



Coroll. 5. 



Si ponatur alter femiaxis A^zzir^, exiftente altero 

 A B zr ^, yt {itm — ~-^ , erit pro hoc cafn k:^a Y^^ 

 quo valore fubftituto habebitur 



S±f-i-^(ri-ti^±t-yc-i-i; vnde fit , 



/, iL t/ ^ ° -t- g_ fe — V (p a g -t- 1 4 q & -f- g & fc) 

 — ' 2 ■' 2(a_j_ 6) ■ 



___ £ t/ 5 o-4j- 3 _ 6-|-y (5 a 0-1- 140 5 -t - g S 5) 

 o — ■ 2 ' 2 (a '+^bf 



ficque abfcilfae pro vtroque termino arcus fg reperiun- 

 tur , ()ui eft femiffis totius arcus quadrantis, 



Coroll. 6. 



Hcc ergo cafu erit 



jr, -._ a a(s a-h sb) aa(a-J) 



^^fS^TV^b et zfgzzaay^, 

 fi exempli gratia fit azzzs et ^ — iip, repcrietur 



/::3;^etp^:^. 



Scholion. 



Hinc crgo folutionem nadti fumus iftius non in- 

 Tab. 1. elegantis problematis : 



Fig. 8. fropofito eUipfis quadrante BAa geometfice in eo 



abfcindere arcum fg , qui praecife aequalis fit femiffi 

 totm arctts quadrantis afgB. 



Pofitift 



