(115) 



colliyitiir ipfe nrcus szzzi^f-p^^. Ponatur tang. \|yzf/, crit- 

 quc cof. v|^" rrr 



1 -f- II u 



et i^ — ^ «, ereo 



ideoquc 



s — l a tnng. >4/ -f- I J t.ing. v(>% 

 liuc ob c; ~ ^— ^r, , idcoquc tang. \^ zz 



>' « a s — a a ) 



3 COj. \^- 



habcbimus 



a a 



(2a z — a a) 

 6a a 



Hiiic igitur patct hanc curuam efic rcclificabilcm , id quod 

 idco potidjmum notari meretur, quod circuhis, huic proble- 

 mai aeque (atibfiicicns, non fic rcdificabihs, idcoquc in noftra 

 fohitione, quantumuis gencrali ct nulhi rcltridtione hmitata, non 

 contincri vidcatur. Intcrim tamen in ipfa cxprenionc pro cle- 

 mcnto arcus circuhis continctur. Nam {\ d s pcr z cxprima- 

 mus, erit ^ .f — -^-^5 vndc pofito a zzi o foret 5 j — oo, 



nifi (latuatur 5:: = c, vnde fit Z-C^ Iioc eft Y (x x -k-y y^ - c^ 

 aequatio pro circulo; tum autem fit 3iz§, in (]uo ipfo con- 

 tinetur explicatio paradoxi initio m.emorati, quod curua, cu- 

 ius r:idius ObCuii vbique difiantiae a pundo fixo aequatur, fit 

 rcctificabihs, ctiamfi circuhis huic problcmati acquc faiisfacicns 

 rcclificari nequeat. 



ELiolLit'o fecundi cafLis 



qLiO n < I. 



§. 2 1, Pro hoc cafu fupra inucnimus 

 =z C — 2 v;. -f- —^^ A tang. [l/ff^ tang. v.'.)],- 

 cxifientc z — ——-''- — , . Quodfi ad dcicni.inai.dam axis vofi' 



P - tioncm 



