OBLIQUUM QUEMCUNQ. GYRANTIS &c. 6 13

sceleritatem angularem circa axem IO, in fenfum ZETD, fit pro punctoO angulus DZO = 1 ), manente /radio globi et Maa momento inertiae.

Ex his erat initio celeritas radens: k — </ {ee — 2xe/ finl^ q- esff) et pro ■

~~ sf coff) *

«jus directione IQ angulus DZQ = ut fit fin £ — ---et cof £

= \ _-L. His pro flatu initiali conflitutis, elapfo tempore t

k

centrum globi defcripferit viam GI, ut jam fit in I, ubi ejus celeritas fecun-

dl 'tn IR erit v = / (ee + ^ ~ ■ -■ ■■■ + 4 ^gg (t )' Ullde P°* Fi g. i<> 3 ,

fois coordinatis GX = X > et XI = Y, ob tangEIR — tangcp

— iSefgt cofh . , v , 2 $gtdt r

=_ JLL h ___ erit dX = sdt -f- ---(5/fin h-e)

eL -E (s/ finh — r) k

— 2$efetdt cof h , _ „ dgtt

«t d Y =---, ideoque GX — X — st

k

(k/fin h — e) etX! — Y — — «ofh. Tum vero pro motu gv- Eig. >6l.

l^korio, qui jam fiat in fenfum ZETD celeritate angulari = g circa polumO, exillente ZO — s, PZO = 3 - et DZQ = <p - J- ubi IQ refert dire-ctionem celeritatis radentis, quia conflanter eft (p -f- £ = feu directio

IQ, conflans, erit tang? — — rF~Z —~—T—T' 77 ~ et tail S(£ ~

’ g/finf) — ee + idgkt

= - a / - e fi n h _ unde ambo anguli £ et & definiuntur,

e cof h xeact coi h

*, . „ saak fin h + 2 Mgt (e — s/ fin h) .

Vel erit tang (m + &) = --. Celeritas

° v ectak cofh — 2 hffgt cofh

ai 'tem radens fecundum directionem IQ efl w = k — 2$g C 1 +

\ aa y

Tum vero ob s cof s — o erit arcus ZO — r quadrans et 8 — \f

f 4 f/g^p/-tfinfi) 4 $$ffggtt "\

l Ef- • - ‘J— + -Z—- ), Hic autem motus

X aak a 4 y

aak

aaa

aequabilis tantum durabit ner tempus t — —-—, quo elapfo efl

2$g («O -i-F)

Hh hli 3