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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 589, page id 779782283:0675
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LEB. V. DE RESISTEMTIA CORPORNM.
rallela BC; cum ANI, lecans bita- cuius momentum sic aequale mo-
riam DK; cum DL, secans bita- mento praedicti collecti; debet ha-
riam AK; denique DB, KC; cen
crum gravicaris rectanguli RG, CA
in P; crianguli AKD, est in M;
duCaTUEM P; cenerum grauicaris
collecti ex criangulo AKD, ec FC-
ctangulo KO, ett in lineaMP; Scd
Eorius craperii DB, cencrum grani-
caris est in linea OL; igier in com-
muni sectionis puncto C, haec om-
nia constant.
PROP. L Z X
Ouando planum trianculare. vel
a cemino fulero sustinetur, in vira-
que extremitate, vel ab uno rantum
explicari, es decerminari possunt
omnia quae pertinent ad momenium.
quod habet aduersus resistentiam.
Primo sic criangulum ADC; ve
ab 2 Pustineatur ab vnico Fulero, debec
in eo puncto Custineri, quod rel-
Ponder cencro grauitaris; sic enim
cenerum orauitatis I, duCatuE per
I, BE; Cultineacur in F; Aabic in
aeguilibrio; porro facile habebirur
punctum F, S alumaEuF DE, Cub-
eripla DC; hoc poliro, cerrum est
esse aequale momentum crianguli
BEC, aduerSuS B2(EM BF, CE EF2-
perii BD; ee triangulum ADC, can-
ex longicudinis esle polse, ve pro-
prio pondere Frangatur, in BF;
nam aduersiis ba(im BE, IOMeN-
rum, Ccilicet proprii ponderis prae-
ualere pocest.
Secundo, cum momeneum ad-
versus basIm BF, NON CANEUM CIF a
criangulo BEC, verum eriam a EEa-
perio BD, e aequaliter ab verogue;
hinc momeneum collecti ex vErO-
que, est duplum alcerius, (cortim,
Scilicet advextus basIIm PF: FlinC vE
inveniatur criongulum sub bals BF,
bere ad criangulum BF C, duplum
momentum; quod ve hac, sIE ve
lacus quadeari 1. ad latus quadrate
2. ita L C, ad aliam longicudinem;
eriangulum Tub hac longicudine, de
bali BE habec duplum momeneum,
ad criangulum BFC; hinc (2 GIFMa-
Ximum illud momencum, aduersus
balIm BF, ciera Fracturam, hoc
etiam maximum etic; haec omnia
ex dictis constane.
Tercio, S pondera in CD appen-
dancur, haud dubie maius erie
momencum ponderis appensi, 2d-
versus vlcimum punctum C, quam
aduersus babum FB; re pacet ex iis,
quae supra diximus; imino pondus
ad ducet balum minimam C, nulla
habica ratione rectis; ioitur nCc
rehistentiae respectiux, sed ab(olu-
ex; re appensum in D, adducerce
balim attxam DA: R verO inHIC2-
cux criangulum ADC, gemino Ful-
CrOD, C; traud duboie cum in C,
incum bac Tuberipla parscorius pon-
deris, Facile rincerur relistencia
abColuca, vlcimae balis, quae ad in-
Car puncti, proxime adlLFCE ex
cremitati C.
PROD. L XZTI.
Si planum trianeulare sit paralle
lum horizonti, murogne affixum,
explicari possint momenta illius ad
versus resistentiam, qua resistit, ne
francatur.
Primo sic plamum criangirtare Fio 4Z
ADC, trorizonti parallelum, cu- Fab. 30
ins Ba(S AD, inuTO aFAXA (IC; (X
tancum consideretur momeneum
proprii ponderis, citra omne pon-
dus appensum, dico MOIenEA ad-
versus diverlas bales, esse rr qua-
E L CC 3
deaF