C >«8 ]
Corporum duorum qua viribus quadrato diftantia fua reciproce proportionalem
fe mutuo trahunt, ac de locis datis demittuntur, determinare
tur a cCoroproproer o iTnvh ; Sc centrum mate,rpttuiesor.illud ceoomrcmmuan ipio motus ni gorvaifvfiimtatuims initio c,quiefcet epnetrrion dceo nmftoitvuetbou tnratu hre,raecn f-i fi Scna a npdrio viribus pfutenrteiag ad i(tpuer centrum rm Loetguus mCo illud Crpoorroul.tendentibus m 4 (.)p efre mPproebr urgerentur,i-q uXieXfcVet..)(per Hypothefin) pDereintedrem habebun-aic-
motus Setur corporum fe.mutuo trahentium. CEE. I.Prop. LXIII. Prob. XXXIX.
fe mutuo trahunt, deq\ locis datis, fecundum datas
Corporum duorum qua viribus quadrato diftantia fua reciproce proportionalem
reiias, cenEtrxi cdoamtidsma ctuiosnr cipsuo mgrru vamevlio tmcaitotiasti,tb ib'uumst f&euxb emu innotit,t uiosd ,ef tpedaratmitiui nqrau uroend im fuoorntmau sic.su mmo htuosc tcuesn tirnoi tmialoevs etruerf puen&iufo rhmuijtuesr ifnp adtiiri.e &uMmo, tunse ea nuotenm c ofrupbofreuqmue nmteos
("•per Legum Corollarium quintum Scperinde fiunt in hoc fpatio, ac fi fpatium Tiphfeuomre umnaa cnuomv ifcfoimmummu)
nmi uitluioo ,g rfaevdi taa tcios rcpeonrter ot erqtiuoi effìeteor eint, ce&n trcoo riplioor atr anhoenr entrtauhr.e reCnto rfe
dpaotraism i griet&ura mal,t edrauttari ucsu min hveolco cfpitaattieo emxoeubnilit isd,e l&oc ov id acteon,t freicpuentad uamd Pcernotbrluemm a inlluondu mte ndente compri, determinandus eft motus per Sc vicefimum fextumf Sctus corporis alterius e regione. Cum hoc hmaobteub ictoumr fpimonueln mduos
eft uniformis ille Syftematis fpatii Sc corporum in eo gyramntoiutums
motus progreflivus fupra Iin vemntu s,3 Sccorporum in fpatio immobili. CE E. habebitur motus abfolutus I. Prop. LXIV. Prob. XL.
Viribm quibm Corpora fe mutuo trahunt crefcentibus in ftmplici ratione
diftantiarum a centris : requiruntur motm plurium , Corporum
inter Ponant fe.centrum ur Theorematis Lgravitatis imprimis corpora duo T & commune rollarium habentia primum tudo ex Problemate XXI. D.El V.lipDfees innotefcit. fccerinbteran th haabeec npteers Cino quarum magniTrahat
D,jam corpus tertium S priora duo 1 Sc Llera tricibus viribus acceST,
SL,ipfis viciffini trahatur . & Vaibs -I’ "fn ; wk - r S t iblv iptuerr Line gvuimre sC orol. 2. re- S(f>' C ■ SD, D T j
Vires Sc vis SL autemSD,in vires D qua;L . atq;furit ut ipfarum D T fumma , D L ,trices adeo quibus ut corpora vires accelera-,1 L K.
;© V' fe priori mutuo Sc pofterior trahunt, pofteriori,aTdd'Sitca eL his viribus corporum T per pCrooproolr.t io1n.aPlreosp, u tX p.r ius, fed componunt viribus prioribus vires diftantiis majoresj Sc , prior L T ac D L(ilia Sccorpora defcribant .Ellip fCeso ruotl .p r1i u8sc, 7f.e Pdr ompo. tIuV c.e) leerfifoicrieu.D adeoq;nt Vuit
res reliquae acceleratrices aftionibus motricibus Sc fecundum quae lineäs funt ut SD corpora, ipfi Sc SD,ae trahendo qSu’paalirtaelrl ealcacse,corpora dneirl em audt ilia lainnet aequaliter S D x T
/ScSDxL,rum ad invicem, led faciunt s e- quam duftam concipe T l , per L K medium ipfa D Spendicularem.Impedietur autem corporis ifte ad lineam Sc lineae afmitu acc'efiafucis-
per-IK-, Y S, D IK