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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)
# Folio 587, page id 779782283:0673
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L IB. V. DE RESISTENTIA COREOROM.
585
eota, de permurara distantiarum, eum, Facie aequale momeneum, in
id est resictentiarum, decrahas sim-
plicem diltanciarum. Cuperest sim-
plex rario distanciarum; igieur (2
eadem sic ratio collectOrUML, X di-
stanciarum; una compentat aliam,
e hc momentorum aegualicas; igi-
cur curare debes, ve collecta sInE
redistanciae; quod ve hac, cum
criangula sine in duplicara distan-
ciarum; e pondera propria, ve crian-
gula; si incer pondera propria, ha-
beas medium proportionale; cerre
erit ad minus exeremum, in rarione
distantiarum; nam exrrema HabCHE
suplicatam medii, ad exeremum;
Sed collecta ex medio, _ exEremIS,
Cune in rarione medii ad ipsa exEre-
ma; igicur in racione dictanciarum.
ris adhuc calculo probare, EcBC,
2d BG, vE 3. ad 2. Pondera pro-
Pria Cunc, ve 9. ad 4. se media, in-
cer 9. d2 4. id ck6. hec est pondus
appentum; addacus vecique; Lacio
collectorum erit 3. distanciarum
2. relistenciarum permutando 2
compolica erir 5. vides aeqnali-
catem.
Ouinco, hinc ( alTinnatur pon-
dus, aequale suberiplo, corius
ABC, vel maius; maximum 1no-
mencum erie in C, minimumm in
AB; neC mOmentum eriE Xqua-
le, in duabus basibus; (I VeIO
minus, in qualibet data ratione;
allumacur eadem rario distantia-
EUI, _E MOIENEUm CFIE aequa-
le, cum ad vlcimam basum BA,
cum ad illam, qua praedictas di-
stancias dirimic: Porro certum eAt,
quoriescunque pondus appendieur,
perueniri eandem ad aliquam basim
versus 7, in qua momentum pon-:
derum maius est, quam in aliis ver-
EusB; hinc s collectum ponde-
BA, _ FF, quod maximum (IC, ci-
cea Fracturam, seu victoriam; in
bah qua proxime segnicuE FF, ver-
Sus O, hec FraTio; (I veronon SIE
maeximum, ad huc maius erie in PEx
dicta bali, vel aduersus praedictam
balim quae proxime Cequieur FE,
versus O, ve constar en dictis.
Sexto, hinc coregium patado-
rum habes; cum enim habita Fan-
cum rarione ponderis proprii, cres-
cat momentum versus B; _c habita
eancum racione ponderis appensi,
CrelCaE versuIS C; certe s vel mi-
nima siac ponderis appensi accestio;
Cc medium proporcionale, inter
Suberiplum eorius ABC, e Cuberi-
plum alcerius crianguli, quancum-
uisminimi; aequalO CFIE MOMeN-
cum, aduersus balum veriulque; de
aduersus balim qua versus G, pFO-
xime sequitur, maius adhuc exie
momencum.
Septimo, Si rectangulum BFI,
muro affixum sic, icemque criangu-
lum ABC, Subduplum rectanguli;
momentum erianguli aduersus ba-
sim AB, eric Cuberiplum momenti
rectansuli; nempe perinde le ha-
bec ad BA criangulum, acque (
Cuberiplum ejus ponderis appensum
eset in G; dixi ad BA, nON veTS
2d alias bales; et perinde le habee
rectangulum, acque si in O, appen-
Cum ester subduplum illius ponde.
ris; isieur pondus aequiialenter
(re hc lognar) appensum reCtan
gulo, est criplum appeni criangu-
L0, ve patet; sed polcs eadem di-
ctancia, vel rarione vectis, et c3-
dem FCLICLeNEIA, INOIENFA PUNEDE
pondera; igitur momeneum erian-
guli, est suberiplum momenti re-
ctanguli; Hine li momencum re-
E Lcc 2 Cranculii