7« PROPRIETATES 



S O 1 U t i O. 



Ex fiiperioribus fatis iam eft perrpicuum , liauc 

 relationem inueniri , fi in ea , quam modo fumus 

 adepti, loco litterarum a, K <^ fcribamus has formu- 

 las: ac^ bb-aa^ et bc\ ficque prodit ; 

 {bb-aaf- ac [hb-aaf- ^aacc[bb'aaf -ac\bb o.aa^bb-aaf 



-aac*[bb-aaf~ac'[bb-aay "==■ » 

 quae aequatia per [bb-aa'^ diuifa induit hanc 

 formam ; 



{pb 'aa)'-ac[bb.'aay-^aacc{]}b-aa)-ac*[bb-'i.aa) 



-aac* -ac^zi^o 

 euolutione autem facfla obtinet 



A*-a(3a-i-<^)6*-tr a(3 a ■\'2.aac-^acc-c')hb-a{cc-adf 



[c-\-d)~o feu 

 ^'•'«(i^-h 3 ct)h*-a[c-^c^{cc-\-ac-^aa)bb-a[cc-ad)' 



Coroll. r. 



15, Si hic fimili modo fiat fubftitutio a^zac^ 

 h^bb—aa et c-zzbc, oritur aequatio pro triangu-^ 

 lo ABC, in quo angulus ad B eft fcptuplus ang.uli 

 A, quae ergo erit : 



[bb -adf-acc {b-{ ^a^ibb-actf-ac^bArd^^bh^ab- :iaa)[bb-adf'' 



-ac' [b b - aaf (^ -^ a) ~ » 



quae iam per [hb-aa)*[b'^a) diuifionem admittit^ 

 et dat 



{bb-aay[b-a)-acc[b-\-za)(J:ib-aa)[b-a)-ac*[hb-\-ab-^aa) 



— ac' zz Q 



ieui 



