Eft autem 



( 4 *i 2 — i2M-M3)C 2 ^ ( l^l- 2 C 2 -4- <■£=___! C 2 , 



unde pofito 



(27i — i) 2 C 2 +4AB=M; 



( 2n - 5 ) 2 C 2 + 4AB = N; 

 aequatio noftra fit: 



MNcc — 4 (M + N)ABCc-M6A 2 B 2 C 2 zzo; 

 cuius binae radices funt 



^=z 2 4^[M-t-N ± (M — N)], feu 



„ 4ABC t>t r 4ABC t- ~ 



C — — , Ct t, — — , II. C. 



4ABC *>+ r 4 A B C 



c~ 1 AJ ^ , et c — 



(2n — J)2C» + 4AB ' (2 ?i — I,U2 + 4A1J 



Pofterior cum forma generali fupra affumta ($. itf.) prorfus 

 congruit, unde eius generalitas eft demonftrata. Q. E. I. 



$. ip. Pro tertlo circulo c eft ?i — 3 9 ideoque 

 c ~ — 4ABC _ : prior autem radix fit 



25 - * -+- 4 A B •» * 



4ABC — a (y I7 \ 

 C2-4-4AB l \ J> / / ' 



liquidem circulus a Problemati aeque fatisfacit. Pofito au- 

 tem pro circulo b, n ~ 2, reperitur 



h — 4j_BjC et b ~ - 4A ,c — n 



Prolongata etenim recta a a infra DE, donec fiat a af ~ 

 a a~ a, circulus radio a e centro a" defcriptus circulos A, 

 B, a, non minus tanget quam circulus 6. 



Theoferria* 



§. 20. Eodeiii ccifil pro quovis circulo nto in genere 

 verum eft, normalem cy e centro c ad bafin DE effe -(in—i)c. 



De- 



