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Show 134 Casz. Lemmata pro mulcrtlis ob- quué tra- hcntibus . IO. AL. BORELLI memo pondcrls Tin codcm plano 0G conflitutis At Cap.!3. quiaidipfum fuflinct truhcndo funcm pcr dlrcflioncm liLCM, 8: COQ§qualcs inter 1c, luntquc duo ungu. Sc vis 3 qua prcmitur planum VIH mqualls cfi porcu- liL, & Q recti; Igitur triangula LCM, & QOC fiml- tire R . Rcmoucantur jam potentia S , 86 planunu VIH , & intelligatur pondus T lnnixum in O {upcr planum inclinatum 01G , 8c retentum in tall fitu, né dcorsiun dilabatur :‘1 potentia R trahcnte funiculunt CA; & ducnntur CL purdllela plano inclinato COM rum, quia pondus T fufircnditur in C termino vcétls CO,Cuius punfium fixum O , & C mobile of: per dr- horrzontcm GH , quiu DL pamllela fupponituripl BO 9 86 CL parallcla plano GO 5 ergo angulus DLC mqualis c{t angulo BOG recto 7. & idcc‘) angulus L l'€' étus‘ cfl ) & mqualis rcL‘to angulo P . Prtetcrca DOE? IP lunt parallclx , cum finr perpendiculatcs ad hon- zontcm, Sc LC p.21 rallcla quoquc eff ipfi OIG361‘gOHHgull DCL>& GIP xqualcs inter {c funt . Quart trungulum DCL limilc CR triangulo rcflangulo GU)" a Schol. prop. 63. huius . 133 Ob maiorem {use dcmonfttationis cuidcntiam lupponltHcrrigonius, quod pondus T fit circulate, cuius centrum C , a: pcndula diameter DK , & perindecf. fe air, fi pondus Tin xquilibrio fltfpcndaturfi dtubus potentijs R, 36 S trahcntibus le1 AC , & BC oblique, ac {i pondus T fulcircrut 2‘1 duobus plants , vcl liners inclinatis ad horizontcm 01G ; 86 VIH tangentibus circulum in punétis O 3 86 V 9 Vbi funium dircétiones ACV, BCO pcrtingunt; 8: tunc alt, quod vis, quaprr. mitur planum OIG , aequalr's all potentize abfoluth; (3H. parallcla horizonti , atquc IP pcrpendiculari 11d 'fi: «33'0"; ,. DE MOTV ANIMALIVM. fimul ad T crunt,.vt MC , & CN filnul ad CD. CA; InfertHcrrigonius cum Stcuino, quod potentia abl‘oluta R ad pondus zlbfolutum T {c Ember , Vt MC ad CD,quod nclcio , an ab cis demonflratunl fucrlt . Poteritmmcn fupplcri hac rationc . Dué‘ca OQ pcrpcndiculari ad CA, quia duo anguli LCM , & MCB rcétum conficiunt , parrtcrquc duo anguli MCB , {cu QCO,& COQEcétum complcnt, ergo ablalto comm u. niMCO, {cu xqualibus MCB,%O crunt duo angu- lia funt, fieldeo LC ad CM crlt, Vt QO ad OC : VCrcfiioncm LC parallelum plano inclinato 0G 3 & trahiturobhqua directions CA 51 potcntla R 3 qua: agit :equalimomcntoanon contra albfolutum pondus T: Ltd conttutvim, quam cxcrcct in dicto plunoillCUW-fi0 ncmpc contra cius momentum mcnfuratum $1 CL;qua.a rcmomcntum ipfius T ad ablolutam potentiam R crit, Vlowifiantia dn‘cé'tionis CA ad CO \rcctislongifll‘ d'm‘malcu vt LC ad CM; cmt autcm }7t‘li1$pOIldUb ab. 101"_tumil'lltts T ad cius momentum m plane inclinaf0?K3coullitutLuI1 , Vt DC ad (IL; Igltur cx cequali DC ad CL CH ) Vt GI ad IP . Innititur veto pondusr l'f'ndilsdblolutum T ad potentlum R Zrit, Vt DC ad W- hodcm prog‘clfir of'rcndctur, quod pundus T fupcr planum inclinzttum 0G; ergo pondus ablolll' tum.T ad cius momentum in tall plano : ell) "Gd ad cru; fublimitatcm IP 3 {cu Vt DC ad CL . Porto" afllgorcnuam S candcm rationcm habct, quam DC ad k %1p1‘0ptcr})0t(:11tl;t R ad 8 cut , Vt MC 21d :(LJ & Dandus T 21d duas potentias R 9 8c 5 crit,‘ Vt potentra R trahcrct pondus T per direC‘tioncm CLPJ- rallclamplano GO ccht piano potentia R xqualjs mOmcnto Lemmata pro "rd ML: & CN fimul fumptas . ‘ W 1);an tandem propofitioné lnfignr‘s Geomctm more-- mud l‘culz's obquut trahcntrbus . |