113
Libr. I. Sect. III.
[ia] « =■
8 ( l—i- (\/c— S/-~Y) cos/. vAV
[12*]
(c —— ) 2' c '
- HL + 1 (v/c-V/A) CO Sf.y/rr'
u-
ic--T
Computus quantilalis l vel L Iiic perincle vi. in ellipsi adiumento anguli auxiliaris c;instituetur. Denique fit ex aequatione XI art. 22 (accipiendo logarilhmos hyperbo-licos)
U t ,r
— s ~ = |c(Cc-
tr
Cc
C c C
~~ + /v ) — log Cc + log —
= ie(C+-<j) (c-
")
■ 2 log c
:*ue eliminata C adiumento aequationis 8
H * (c——) cos/V/r'
+ H CC — — ) — aloge
«i a cc
I11 hac aequatione pro a substituimus valorem eius ex 12, 12*; dein characteremm vel M in eadem significatione, quam formulae 11, 11* art. 88 assignant, intro-ducimus; tandemque breuitatis gratia scribimus
1
cc-
cc
4 log c
quo facto oriuntur aequationes[ 1 5 ] 7 71 = (/— zf- 4 - (/ — z)^ Zl> 5 *] Mz= — (L+z)* + (L + zftz
quae vnieam incognitam z implicant, quum manifesto sit 2 functio ipsius z performulam sequentem expressa^ (1 -f 2 z)\/(z + zz) — log(v/(i +z) + {/z)
A —. - “ r~~ —