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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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LIB. V. DE RESISTENLIA CORPORNM.
si praeualet supra resistentiam pris- prilma AD, DC, ducatuE CR sFip. 18
maris AV; etiam supra relistenciam
Prilinatis AMI praeualebIE, VE PAECE
ex dictis; ac si minus pondus in-
Cum BaE NI, e maius d, nOn est du-
bium, quin pondus d, maius mo-
mencum Faciae; aequi cum nix ca-
dac re plurimum per lineas perpen-
diculares, parallelas BM, OH,
XT, ec. cancumdem niuis cadic in
prilma, vel planum, vel rectum
AV, quaneum in AM; ioitur cum
AM, maiorem, e capaciorem
arcam complectatur, de AV mino-
rem, non mirum est, si singulis
punctis AV, plus niuis incum baE,
quam singulis AM igieur ( SI, pluS
Ponderis Ferat, quam N: codem
modo demonstrabimus luo loco;
planum obliguum minus illumina-
ei, quam directe admocum; igieur
haec es germana ratio, cur in an-
sulum acuriorem, recta Faltigien-
tur, in iis regionibus, quae maio-
cem rim niuis habere Colent; 2dde
quod in decliniori plano acurioris
recti, nix facilius proprio pondere
sepic, e detluir; e haec est altera
ratio; denique rectum aliquando
in parre suprema est declinius, in
intima minus decline, ve Ccilicet,
ubi nix Cenel in plano declini cur-
rere caepir, viribus cundo acqui-
eis, in minus declivi currere per-
gaE, _ aliam lecum aspORECE.
Ouarro, E prilma inclinatum, in
Fabricam cecti composirum, sece-
tur a plano parallelo basibuS, per-
pendicularicer cadence in lonoiru-
dinem, ustinerur a gemino Fulero
inaequalirer, illius pondus, hoc est
juxca proporrionem inclinacae, ad
non inclinatam, in cuius exeremi
EateI, Ab exremitate inclIMAEX,
dico, porrionem ponderis, quae in- Fab. 2
cumbie Fulcro A, esse ad illam.
qua incumbic Fulero G, Ve AC, ad
AK, quod iam Cupra demonstra-
cum elt: Hlinc Reri Porest. ur duo
pricinaca eidem, tulero innixa, ab
alcera extremitare camdem vim Fa
ciane conimnetim, quam singula
Seortim, ab alcera extremitare; v. 9. Fig. 43.
AIE pTi(IaTA AM, CM, SIE angu- Tab2.
DuS AMC, 60. gFad. dUICANEUE AC.
MB; hoc posito, portio ponderis
AM, qua competie Fulcro A, est
ad illam, quae competie FulCTOM,
VEAML, ad AB; icemque portio
ponderis CM, quae compecir Fulcro
C, est ad illam, quae competie Ful-
CrOM, vE CA, ad CB; IgIEUE Cum
AB, Sc Subdupla AM, portio verius.
que ponderis, qua competie ful-
CroMI, est ad poitionem rnius can-
cum prisimatis, quae Peortim com-
PCTIE FUILCEO A, VE AC, 2d AM; sed
AC, AM, Cune aequales; igiine
camdem vim facie virumque pris-
ma coniunctim in M, quam Singu-
la Ceortim in AC.
Oninco, si vecumque prisma in-
clinatum, ira innicem componacui,
ve bales probe iunganEuE; X con-
veniane, non opus est Luperiore
fulero; v. 5. Sinc prilmata BFL, YH; Fi∞. c7.
bales sinc ira commiltae in IFL, ve Tab. 20
penitus conneniane; Pustineancur
in B, Y, feri non porest ve bales
TII, deorsum eane, alioquin pe-
necrarentur invicem prisimata; hoc
autem polico, eora ris incumbet in
B, Y; non cancum ratione corius
ponderis, sed etiam ratione rectis:
primum quidem, quia porcio pon-
deris qua incumbit B, constat ex
subdupla B12, e subdupla ZFI.
cadir. perpendicularis, Y. 8. sE igicur ex coroBH; idem dico de
Lis
Pa1