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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
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L. +B. V. DE RRESISTEHTIA CORPORVM.
Tertio, coni ABF. ponderis pro- cuius momentum rarione propris
prii momencum, perinde le haber, ponderis, sic aequale momento cy
aduersus basim AB, acque si vel ex lindri BK; Sic ve lacus quadcari 1.
C, centro gravicaris, penderet pon-
dus HI, agnale COnOABF; vel in
E, pondus F, Tubquadruplum pon-
deris F; quia cenerum grauiraris in
cono distar a bali =. EOrius 2X153
isitur 1O, est subquadrupla LE; igi-
tur F ad aequalicarem momenci, ad-
versus balim AB, est Cubguadeu
plum H; porro idem dico de Pyra-
mide, quod de cono dictum est; (2
vero Fruscum coni ABDC; attg2-
EuI, vel in DC, vel in AB; ex di-
etis facile rorio momenei decermi-
nari porest; prxlerrim ex prOP. 70.
sium. 10. invenro scilicet CenErO
oranicaris, ABCD, quod est in aXC
EL, V. 3. In O; nam sICL. N =. L. F.;
CerEC CentrUm gEaIITaTIS CONICDF,
Cst HV; igicur sic re Fructum ABCD,
ad COnNM DCF, id est vc 7. ad 1.
ita NC, ad 6O; vides centrum
gravicaris Frusti ABCD, elle in O;
Porro momentum eplindei BK, Fa-
cione scilicet proprii ponderis, cst
sexcuplum momenei coni ABE; 2d-
versus camdem basim AB; cum
enim cylindrus BR, sic eriplus co-
ni, ABE; de cum momencum cy-
lindri, perinde le habeac, acque si
in D appendatur pondus aequale
Cylindro, iEeInguO MOIenEUM CO-
ni perinde se habeat arque si in, G
pondus aequale cono, id est Cubrri-
plum prioris, appendacur; cerre
Momenta fune in rarione composs-
ea ponderum, ee distantiarum L I,
CI; racio ponderum est =. distan-
tiarum vero . igitur compolica
E. igicur momencum cylindei, 12-
cione proprii ponderis, est sexru-
plum nomenci, coni; ve aucem ha-
ad lacus quadrari 6. ica IF, ad aliam
V. 8. ad IP; haec est longirudo co-
ni quaelica; quae est maior dupla
TE; minor camen cripla: nOn COn
Sidero momentum ratione ponde-
ris appensi, quod randem reducieur
2d vlcimum punctum F.
PROP. LZXIV.
Explicari possunt rationes. mo-
mentorum plani parabolici, cuins
basis muro verricali affixa suppo-
nicur.
Planum parabolicum est, quod
duobus laceribus rectis constat,
quorum alcerum muro affixum est,
alterum vero horizonci parallelum.
_ cerrio curuo, id est parabola; id-
que duobusmodis, Scilicet vel con-
nexo, rel concauo; acque adeo duo-
bus adhuc modis, primo, ita ve
axis parabolae (Ic parallelus hori-
zonci; secundo applicaca, non re-
FO axiS; V. G. Cc Cemiparabola ADL, Fi8. +5.
CuruS aXiS AD, uTO aCTIXUS (IC, _ Fab. 20
applicata DL, horironci siE paral-
lela; habes planum parabolicum
ADE. Cccundum convexum; auE SI
accipias AML; habes planum pa-
rabolicum, secundum concauum;
Ec aurem alia parabola AF, cuiuS Fig. 46.
applicaTA AC SIC aFIXA MUTO, _ Fab. 2
aZiS CF, horizonti paralletus; na-
bes planum parabolicum, iuxta le-
cundum modum ACE, Secundum
converum, Xc secundum conca-
eum, ( accipiaS AFF.
Secundo. Luppono, Cagieras pa-
rabola, vel legmenta axis, ad ver-
ticem terminata, esle ve quadrata
applicararum; v. 8. Git Cemiparabo-
beacur conus sub eadem bali AB, Ia ADL, verrex A; Uine LagICTE,
ve
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