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Show :18 Cap. S. D: cnrdc cqu; puifacrcue. DE MOTV ANIMALIVM. IO. AL. BORELLI 119 , impellendoz‘r ccntro ad cuius medius axis CEDH . Pater, quéd funis longi Pemdios eiufdem circuli {c dilatandf); 8c é Font" agunt quando 9 tudo mcnfumtur ab axi,qui bifariam fecat illius crai‘. peripheriam Vlm patiuntur. flticm . Contrahutur poftea longitudo fuuis vnifor tetrocedendo verfus ccntrumfluando radios mqualcs mi:r‘:r,it;1‘ur omucs cius particulx cadcm proportion: Ex coigitur , quddfingula pumfla per rcqué ve- dccurteutur . DiCO) qubd potentia funcm contrahés, eodemtempore mouemur, i‘cquimiyqubd ad Vim, qua giobus, vcl cylindrus RSO confiriétiom lociafunt. Er idec‘) omnia {imul , fciiicct vniucrfll p0~ rcfiflit, candem proportioncm habet , quam Circul" tcnria, qua g‘lobus, vcl cylindrus rcflrié‘tioni refif‘tit, cadcm cfivclocimte aqua vnicum punétum pcripheradius AC :deius peripheriam CEH. rir moucmr. Quarc velocitas , qua tom potenria cyIiirclligatur funis BE terminus B firmiter anncxus in R , 81. funis HC terminus C contiguus ipfi Cru- lindrircflrié'cioni rcfif'tit , mcnfiirzrtur 1 motu pcr vniimtur :‘1 potentia M; d C vcrfus M 3 tunc ncccflicfl cum radium BA {3&0 . Er aliundc‘: vclocitas, qua pov: pcriphcria circularis CHDEB continfinter dimi- tcntia Mfunem tmhit, menfuratur :‘1 longitudino uuarur, cfficiendo circulos minorcs, & minores quo- MCfunis trafki, {cu 1i pcriphcria BEDH . Igitur vbi11fi111c,rr;1€to integro fume, eius caua pcriphcria ROS cunque fiat poccnriarum oequiiibrium, cruut potentir ad contaé‘tum ccntri A perducatur . Er dum fir mix: in reciproca pmportionc vclocitatum,quibus eodcm trailiopporrcr , vt globi , vcl cylindri comprehcni temporc moueri poflhnt: quaproptcrerit potenti‘b crafiities fucccffiué firingatur, quoufquc omninéeui Mad vim a qua cylindrus rcliriéiioni rcfiflit , 1': monefcat , 81 ccurrum bafis eius perducarur ad conrzlc‘ri tuspchA ad motum pcr CM, fcuwt radius AB ad ' fimis in R fub clauo in BB quiaperiphcria CEHzi circuli integram peripheriam BEDH . ur; Poflca, quiaidcm moms confcquit {i omncsfu{cmidiametrum CA candem proportioncm habt‘r: mm ' ,. um " H" : ii'n '. :1: I41 End. iicii. Auft. qui pcripheria IN ad cius fi'midiamctrum IAN? go homologorum differentice in cadem ratione crumb fcilicct cxscfl‘us peripherix CEH Iupra peripheriarm IN; nempc lungitudo CM funis trat‘ti ad CI ,fcuad nis particulre minimm contrahanrur , ad inuiccm f9.) aPPl‘oximando , 11c efiicitur trahcndo funcm per 1011gimdinem CM mqualem pcriphcrix BEDH ; Igitu r pOtrntiafunem contrabens cflicic motum aequalch PCFIthx BEDH 5 & rcfiflcntia , Dempé cylinfiioms globh {cu cylindri comprchcnfi eandcm pm- 1‘1 comprefii morus {it per radium BA 5 ideoRA dccurmrroncm radij ; {ciliccmd motum conflri portioné habet, quam rota pcripheria CEH ad [emidiamctrum eius AC . ' qu? Potentia fuucm contrahens 2d refifitentiam cylin- aduerto, porcutia, qua glob" 1 Ijs declaratis . . . qubd _ {cu cylmdrus conf‘rrithom rcfifiitgmuitiplex dig C0" Whmdius BA ad cius peripheriam BEDH . ‘ 5‘ MS 9" .ror Pfilmcylisa quot fimt puné‘ta phyfrca 13* Pmphem Cyhlld" K50 a glue potentias vim faciuii P61" $190um3] candcm prop rtionem habcrquam Cir-- Cap. 5. De conic eiufi}; pulf‘atione . |