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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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PHISICA TRACTATVS L1.
PROP. ZL IV
Si cylindro dato, Pondus appen-
datur, cujus momentum. cum mo-
mento cylindri coniunctum; adaequet
resistentiam basis, determinari potest
congindo alterius cylindri, sub eadem
basi. cujus proprium momentum, sine
eilo pondere appenso, adaequet prae-
dictam resistentiam: Sic enim cylin-
Fic. 24. deus dacus DC, cuins pondus, sic
Tab. 2. duarum librarum, ec pondus appen-
Cum in C libr. 8. perinde se habet,
acque s pondus 9. lib. ellet appen-
Cum in 6, Aac ve latus quadrari 1.
est ad lacus quadrati g. IFaDC, ad
aliam longitudinem; dico quod
momentum cylindri, (ub hac noua
longicudine, adae quat relistentiam;
quod demonstro; quia momentum
cylindri DC, cirra pondus appen-
Tiur, est ad relistentiam ve T. 2d 9.
est enim 5. cocalis momenti ada-
quancis ex C relistenciam; Led mo-
mencum DC est ad momentum cv-
lindei invenri ve r. 2d9. Tunc enim
cylindrorum momenta, sub eadem
bali, ve quadraca longieudinam; Ced
quadracum DG est 1. quadracum
vero longicudinis invenca elt 9. e
consequenter est cripla DG; igieur
momenturs cylindriinuenci, est ad
relistenciam re g. ad 9. igicur illam
adaequar; adde quod, cum perinde
Ce habear nouus cylindrus, cuius
longicudo sic cripla DC, aeque li
ejus extremicari eres librae ponde-
ris, appenlae esene; haud dubié
pondus libr. 3. cum cripla rectis
longicudine, habermomentum ad e
quans pondus 9. lib. Tub lonsieu-
dine Cubcripla; quid clarius.
ROP. ZL 
Daro cylindro, qui proprii ponde-
ris momento, adaequet propriam rest
stentiam, es daro exlindro breniore
dici potest, quancum pondus appendi
debet, vt simul cum pondere, eam-
dem resistentiam adaequet; (ICDO, Fig. 24
cylindrus datus, cuius momentum, Fab. 2.
citra vllum pondus appensum, re-
Sistentiam ba(IS DC adae quet; HE
que pondus DC, 16. lib. Sic dacus
DE, BreniOF, 8. lib. ac. proinde DF.
Sc subdupla DE, appendacur in F,
Pondus 12. lib. dico, quod no-
mencum coralis ponderis E, adx-
quabir momeneum rehstentix, quia
adaequat momentum cxlindri DO;
quod probo; quia si DG, NIC 16.
libr. perinde Ce habene, acque 
ellent eancum 8. appenae in G; sed
8. in C habene momencum 16. in
E IgIEUE CUI DE, (IC B. libi. perin
de le habet acque s elent 4. appen-
Ca, in F; quibus accedat pondus
appenlum 12. lib. VE SINE 16. PFOE
lus necesle cs; E vero minor eylin-
deus sic ad maiorem, ve 2. 2d 3. IE
maior 6. lib. minor 4. igitui per
inde inaior se haber arque a ellene
3. libr. appenCae; inOF vero 2. Sed
moencum 3. lib. appentarum ex-
cremicaci maioris, taciune momen-
cum lib. 4. =. isicur pondus lib. 2.
 accedere debet excremirari mi
noris: ve aurem praelcindendo a
numeris, procedacur, CIE, reminOr
cylindius ad maiorem, hoc est ve
minoris, reliduum dabic quantica-
tem ponderis, quod ad momento-
rum aequalicarem, excremirari mi-
moris
minor longicudo, ad maiorem, ica
subduplum maioris cylindei, act
aliam quancicatem, cui. s Tubera-
hacur quanticas, aequalis lubduplo