INTER SE COMPARANDIS. 33 



ob i-^^^^t^, ttn, arcus/s.quamw,- 



cuan€fcit. Sin antem fit pq^fg-, ob 



i;iay{aa~mkk)-mpqV{aa-kk):ziay{aa~mpp](aa-mqq) 

 iiay{aa~mkk)-mfgV[aa- kk)z=:aV{aa-mff) (aa-m^g) 



erit {an—mpp)iaa—mqq)z:z{aa—mf){aa—mgg) et ob 

 aayiaa-kk)~pqV{aa-fnkk)—aV{aa-pp\aa~qq) 

 aaV{aa-kk)-fgV{aa-mkk):z:ay{aa-ff){aa-gg) 



crit (^^— pp ){aa—qq)-zz iaa-ff){aa~gg) 



vnde patet cfle, vcl ^zzj: etp— /, vel ^— /etprr^; 



Ttroque autem cafii fit arcus p^ non folum aequalis^ 



fed etiam fimilis , arcui fg. 



C o r o 1 1. 4. 



Si fieri poffet, vt arcus pq euanefceret, maHcnte 

 arcu fg finito , hic arcus foret redificabilis. At eua- 

 nelcente arcu pq, ob q—p^ oritur k~zo ^ ideoquc 

 ctiam f^g j vnde quoque arcus fg euanefcit. 



Coroll. 5. 



S\ arcus pq m altero vertice B dcbeat efle ter- 



minatus, vt fit qz:::^^ habebimus hanc aequationem: 

 a*V{\-m)—y{aa-mkk){aa-mpp)\ fiue 

 a^ — aakk — aapp -^mkkpp — o et kk~-^:^ 



Qui valor fubftitutus in hac aequntione 



aaV{aa^kk) -fg V{a a - mkk)—ay{aa--ff\aa--gg) 



praebet : 



x>-=za^-\-z{i -m)a'fgp-a*(f-hgg-\~pp)-\-^iaa 



(ffgg-^ffPP-^ggPP^-^ffSSPP 'r 

 Toin.VII.Nou.Com. E vnde 



