(99) 

 DE 



INTEGRATIONIBVS 



JMAXIiME MEMORABILIBVS 

 EX CALCVLO IMAGINARIORVM ORIVNDIS. 



Audlore 

 L. EF LERO, 



Conuent. exhib. d. 20 Mart. 1777- 



c 



§. I. 



onfidero Mc i*n generc formiilam differentiiilem qnamcun- 

 que Z 5 s, cuius incegrale l.iltem per log.uithraos ec arcus cir- 

 cuiares exhiliere liceat , quod per charaderem A:s defigno , 

 ita vt fit /Z 3 s - A : s. lam loco z. fcribo qpanrita.em quam- 

 cunque imat;inariam , (cilicet z ~ v -f-j / — i., vndc fundio 

 Z transmutetur in formam M -f N/ — i. Hoc inodo for- 

 ma differentialis euadet (3 Jt -{- D.y / — i)(M-|-N|/ — i), 

 cuius produdi pars realis ergo erit M d x — N dj^ imaginaria 

 vero (N 3 jr -{- M ^ V ) / — i- Tum vero iprum integraJe , 

 quod eft A . (x-\-j ]/ ~ i), transmutari po erit in fimilem for- 

 mam P -f- Q / — i. Quare cum quantira'es reales er ima- 

 ginariae feorfim inter fe conferri debeant, hinc duplex integra- 

 tio oriecur : 



L P=f(Mdx — -Ndy) ^ 

 IL Q=:/(Na;fH-Maj), 



N a qunc 



