t_=_(ii 5 ) _-=_- 



( adds (qz — ry) + bdds(rx — pz) -*-cdds(py~- qx) ) 

 |-+-fldj(z3y— ydr) + l>ds(xdr— zdp)-i-cds(ydp — xdq)$ 



Sicque erit 



";d 4- ~ c (q * — r y)-hb (rx — p z)-h c(p y — q-x) 



§. 9. Cum igitur fonnula — exprimat celeritatem cor« 

 poris in puncto Z, u* haec celeritas vocetur =«, vt fit dt-ii , 

 iam adepti fumus formulam pro corporis celeritate «; erit 

 enim 



u — — £ L; J 



a (q z- — r y) -4- b (r x — p z) -+- c [p y — q x) 



Introducendo autem iftam celeritatem, cum in noftris formulis 

 principalibus fit ££* z_ d. ||, ob 3 x _= p d s et dt~^ erit 

 _— nzd. puzz:pdu-{-udp; fimilique modo erit 



d J- t y - — d. qu — q du-hu d q et 



__ — d.ruzzzrdu-\-udr. 



6 t 



§. io. His inuentis ambas vires quaefltas V et V' de- 

 finire licebit; cum enim inuenerimus: 



multiplicando per adt et loco ^-? et ^JL? valores ante inuen- 

 tos fubftituendo , erit 



f(pdu-hudp) — x'(qdu-hudq) = — !!_(£#-. ay), 



ergo ob jf ; _ x + a et y zzzy-\- #, erit 



A7" |r + a)[^K4-u^l — (;y -4- &) (j> 9 u -4- u 9 p ) v 



bx* — ay ~ cTTF * 



§. ii. Simili modo cum ex aequatjonibus principali- 

 bus elici queat haec aequatio yf 



P 2 yddx 



