diftantiae 2. Et vice verfa, í?í témpora 3
periodica Corol.Corol. 3. erunt Theor.proportionates IV.
diametris. Conftanftu nhste ca edquuoa pliae ri Prop. LXXIII. Theor. XXXIII.
Si ad fphara alicujus data punda fingula tendant aquales vires centripeta
decrefcentes in duplicata ratione difiantiarum ^ apundis : dico
quod corpufculum intra Spharam confiitutum attrahitur v i propInor
tSipohnaaelir ad ifiantia fua ab ipfius centro. A BCD, centro.S deicripta, locetur corpufculum P,
Sc centro eodem S intervallo SPPEftF defer ibi. Manifeftum eft , copnecri pe Sphaeram interiorem cTihese ocro.n cXenXtrXic.a eq,u eoxd qSupibhiaiesr icSapeh afeurpaerurfmi
c differentia A E Btionibus per attradFicoonmesp ocnonitturar,r iaatst rdaec-- ftrudis, nil agunt in corpus P.fòla attradio Sphaerae intefioris Reftat fEtatn pteiar Theor. XXXII. haec efPt Eut Q dJFi-. PS. CL.E. D.
Scholium. .MaStuhpemerfaitciiceasl ,e xf eqdu Oibrubse sfo aliddeao c toemnupeosn uunt teuorr,u mhie c nraofnfi tfuudnot inpfutarer ncoilniiflti afti,tu ;b ni iOmribruiumrn O ilrlboreus me vnaunmefecreunst easu egxe tuqru ibus Sphaera ultimo Scitur in infinitum, juxta Methodum fub initio in L ecmramffiatutids og emneinrua-- leisb us expofitam. Similiter per punda, ex quibus lineae, fuperficiScles
m afoglniditau dcionmis pcoonnit edmicnuenntduare, .intelligendae funt particulae aequaProp.
lifdem pofetis, dico quod corpufculum extra Spharam confiitutum attrahitur
vi reciproce proportional quadrato difiantia fua ab ipfius
conNcecanénmtrtor .diciaftsi,n guatur Sphaera in fuperficies Sphaericas innúmeras Scriundae erunt re caipttrroacdei opnroepso crotriopnuafcleusl iq au afidnrgautlois d iffutapnetrifaiec iecbourps uof-
cauttlri aad cioennutrmo,, pheorc Tehfte oartt. rXadXioX IS.p haeErate ctoomtiupso,n ienn edaod, efmìe t rfautmionmea. Q. E. D. Corol.Sphaerar umi. , Haitntcr aidni oaenqeusa lifbuunst duiftta nStpihisa ear acee. ntrNis ahmo mpoegre nTehareuomr. vXirXesX eIrIu. nfti udti ftdainatmiaeet rfiu. nt Mprionpuoartutiro ndaiflieasn tdiaia mmeatjroirs iSnp ihlaiae rarrautimo,
ne, Sccata il lda ifrtaatniotinise ,j amad efaodqi-,s e areitq uaadl ibauttsr, aaduigoenbeimtu ra alttetrraamdi oin intr idpulipclaita
illa ratione, hoc eft in ratione Sphaerarum. Corol. 2.applicatae ad Iqnu addifrtaatnat diiisf taqnutiibaurufvmis. attradiones funt ut Sphaerae. Corol.tum trah it3u. r Svii croercpipurfocucelu pmr oepxotrrtaio Snpahlia eqruaamd rahtoom doifgtaennteiaaem f upaeo afib- icprfeifucse tc evnist rpoa,r tcicounlafete tc uaujutfeqm; iSnp hdauepral iecaxt ap arrattiicounlies adtifttraandtiiaveis a j pdaer-
tícula. Prop. LXXV. Theor. XXXV.
Si ad Sphara data punda fingula tendant vires aquales centripeta
decrefcentes in duplicata ratione difiantiarum a pundis, dico quod
Sphara quavis alia fimilaris attrahitur vi reciproce proportionali
diftqNaunaatmdiare ap teoaj rudtsiic fuaia lacneet incatu rcjoue nfSvtprioshr auaemrtat.er atrdaihoe enftti sr,(epceiprr oTchee ourt. XquXaXdrIa,t)im8i prop»c