554 CAPUT V. DE MOTU GLOBORUM,

ef flufcofh 0 c .... y ,

Statuatur --— = tange ut ruent initio £ = c, ac pernetuo

e — ef i'm f finf) 4 b { 4

erit | -(- (p = ita ut angulus DZQ — £ maneat conflans. Quare cuniiit | = £ — <£»: erit v fm(£ _ <p) = fq cof(£ — B — (p). Supra autem

d.vcoftp . . » <i.vlm(p .

invenimus: -- = d coi (£ -f (p) — 6 colr; et -- = d

agdt igdt

fin(| + <p) =3 fm£ unde integrando colligimus v cof<£> — e + a.$gt cof£et v tirnp — a $gt fin £ iiincque v = (se + 4 $egt cof<^ -f 4$Sggtt) etfin? e fln ^

7 T,i s T^{ - « = T ^ { + i i ir

f q coi B

v—fq iin5*

— tang |. Deinde ob d(p z= — dg binae priores aequa-

tiones abeunt in I. q(d£ — dB) ~II. dq zz

$fg

2 $fg

aa

aa

dt fin(| — A),

dq

dt cof(| — A);

, ... , r , fin(| — A)

quarum tiscc per illam diviia datt l ■ v _ _ . z -- 1 —— _ ■ ■ _^ ^ cjuqc

1 q(a£~dB) cof(| - S)

integrata dat qcof(P — B)~ Confl. ideouue q cof(| _ B) = f fwf cof— h), unde valor iplius q in prima lubflitutus praebet:

rmfcoftg--w = 1(Jo e fillf

coi(E-S)- s '

aa

2 Q

cof(^— U tang(| — 30 = C +-'— t, ubi C = g finf fin(<f—£)♦

aa

At ,»„ g (| - A) = tang_*-») = , «n ii- *>-£*»

S ° i + tang A rang(£- <p)

et tang A = — —f r——. Sed per hypothefin efl e finf** i +tang|tang(|~3) ^

- "7~ f 7r^ h ~ l,nde fit tan S(l - 9) = tan g(£- h) + .

/cos(^- h) ean flu^

at tang|-deque^-

-flu^

r cof £ + a Sg tcfln£

/cof(| - S)

hineque angulus B facile determinatur: in-Veruni hic notari oportet, cum fit tang^