nancifcimur hanc aequationem : 



(B + C)[(A- Bf+(B + a) 2 - (A — a) 2 ] = 



(A-B)[(B + C) 2 +(B + a) 2 -(C + a) 2 ], h. e. 

 (B + C)(B 2 -AB + Ba + Afl)=: 

 (A-B)(B 2 + BC+Bfl-Co), 

 feu factis legitimis redu&ionibus , 



B 2 (B + C-A + a)-AC(B-fl) = o 5 

 unde fit 



n B( A — B)(B + C) 



L(/ — . 



H2 + AC 



Eft autem in figura noftra B -+ C ~ A, A — BzzzC, qui 

 bus valoribus fubftitutis habemus 



A B ( A — B ) A B C 



A2 — A B -h B- C2 -h A B * 



Praeterea eft 



finABfl- >TBA.2B.aa.S(A-.B-a)] 



2 ( A — B ) ( B -+- a ) 9 



per tria latera Trianguli ABfl, unde reperitur 



fl a = (B + fl)finABflz: »/ [ai«(A--i-h] % 



»* / * A — B 



Vbi fi introducatur valor radii a modo repertus, ob 



ABfl = r -^- 3 etA-B-az: 



C3 



C2-t-AB J C- + AB 7 



oritur normalis 



fl a = s&Sk — 2 a = L -• 0= E - D - 



J. 3. Notatu omnino digna eft fbrma^ quam hic pro 

 radio a invenimus. Numerator fcilicet A B C eundem per- 

 petuo fervat valorem pro ceteris omnibus radiis bM, cN, 

 etc. uti mox videbimus. D nominator autem fub hac forma 

 generali comprehenditur : « 2 C 2 + AB, feu nr (A 2 ■+- B 2 ) — 



(zri 2 



