C A P V T VI.

198

ergo ;rfB=„— vo '— f~" et integrando

|B = --sU;*JU + .■ 4 - C = , ~ <l r , ' ? J

integrali ita determinato Tt euaneseat posito nzn 9 .Quocirca pro binis primis terminis habemus:

Aet

vt sit A = l At pro reliquis differentiemus ae-quationem alsum tam 7

^M^--L^ 5 tn.ch-^ac^iin.rH-zOaPlin.z-P

-i- 4 .L</^)siu. 4 -^

seu

v — r^^cojTW ~ Bsin - $+2Csin.2$-3D sin, 3 (J>

-f- 4 E sin. 4-H)— etc.

Quare per z-i-znc of.Cp multiplicando prodit:

2«sin.Cp—2Bsin.<{)-H}.Csin.2(J)—tfDsin 3(jM-8Esin.44)--etc.— Bn 4-2 C« -3D»

+ 2 Cn — 3D» 4 - 4 -E» —5F»

Tnde colligimus:

um

- N 1

Cum igitur sit Bn-

j» 1 -- ♦ n

- 2 V ( r n n )

- Si 1

erit C--->

ilL J_> — yj vlll v — ^ )

seu c=C^—V, tum vero DriC^i—)*;E = J (‘ )* i F = I () ! etc.

Hinc si breuitatis gratia ponamus 1 ~ m erit

^i+«cos(j))=-/r-i-ifflcos4-|«»’cos.2!j)+|»i , coli3(j)

—\tnc os4(j)

ideoque