6 o 4 DE MOTU GLOBr CIRCA AXEM

quae combinatio praebet

q {dS + d(p) fin (jjt — v) 4 —dt fin — y) cof(| — h) == 0,

feu q (d$ 4 d(p) 4

2 Sfg

aa

aa

dt cof(| — $) = o.

Deinde combinatio

II, fin(y 4 <& 4 — III. fin(jw 4 S - 4 <p) dat

2 $ fs

dq finfa — y) —- dt fin(^ - v) fm(| — A) — o

feu dq

a =211*.

aa

aa

dt fin(£ — A), qui valor in ultima aequatione pro

viribus vivis fubflituuis praebet xdx 4 ydy 4 zdz = qdq, hineque xx 4 yy4 LL — 88 — conti. 4 qq — conii. 4 88 fin/ 2 ita ut /it 88 cofir 2 quan-titas conflans, uti jam invenimus, obs cofir = p = h. Hinc i flas habe-mus aequationes a litteris l, m, n, A, ju, v immuues:

I. q (d& 4 dty) 4 °

«. rf,=-

■Vg

aa

dt cof(| — A) — o,

dt fin (| — A) = o,

fq cofZ-

quae in hanc trans*

aa

III. dv — ifigdt cof£

IV. vdtp = 2 $gdt 11n£,

quibus adjungatur haec finita: tang£ =

J J b v-fq finS’

formata; v fin,? — cof(£ — $■) = o, differentietur, prodibitquedv fin£ 4 vd£ cof ^ — fdq^ cof v | - 3) 4 fqdj* fi n (£ — $•) — fqd§ fin (£ - & — o.lam combinatio: I. fin ^ — A) 4 H- coff^ — A) dat q (d$ 4 dtp)fing ~ ■&) 4 dq cof — A) =: o, quae aequatio per f multiplicata illiaddatur, fietqne dv lln £ 4 vd£ cof| 4 fq {d£ 4 dtp) lln(| — &) = o*dv cof|

vdp fin£

V 4 <a?£)co/|4 fq (d<p + d%) fin — — feu

(d<p 4 d£) (v coi£ 4 tq fiu— 9)) — 0 ,quorum fadlorum linitus: v cof^ 4 fq fin— A), evanefeere nequit ob1 ? fin £ — fq cof(| — $r) — 6, lequeretur enim inde v cofA = o et fqcofA — o, quod non ni fi cafu A — 90 ° locum habet. Relinquitur ergout fit dtp 4 d£ — o, ideodue <p 4 £ conflans. Hoc impetrato reliqua

non

Porro ob

erit