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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 166, page id 779782283:0252
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PHZSTCX
PROD. CCLI
R ACFAXVS
Ouando lunarur arcus, iuxta se-
cundum modum, non incuruatur in
parabolam: Nempe sine adducatur
veraque extremitas, cencro immo-
Bili; SIMC CCHEEUI, VEraqUC CXEC-
micare immobili, juxta cerrium
modum, perinde es; Led iuxra
18. 39
cerrium modum non curuatur in
Parabolam, igieur nec iuxca sc.
cundum: Hlinc nondum habecur
linea curua arcus adducti, quam
nemo, quod sciam, hactenus de-
Fiivic.
PROP. CCLZ.
Si afficatur muro cylindrus oblona
eus, incuruatur in semiparabolam:
Sic enim cylindrus C G, afxuS
muso, leu plano reccicali CE; dico
quod ineuruatur, proprio pondere,
in lemiporabolam CL. F; nempe si
Cic cylindrus AC, duplus prioris,
Sustencatus FutCTO FC, cettC CUM-
dem peaectabie gravicationis ette-
ctum. acque li in vreaque excremi-
tare lustentarerur; sed si Pustinea-
tur in reeaque exrremirare ACF, in=
curuacur in parabolam ADO, igi-
tur si Cultineacur in medio C, in-
curuatur in parabolam HC, F,
aqualem priori per Prop. 258. nam
compolica ponderum, de longiru-
dinum; sed pondera Cune re lon-
gicudines, igieur depretiones lune
in carione duplicara longirudinum;
igitur depressio OF, CM ad HL,
RC; ioitur est parabola, ve constat
ex dictis supra, et ex geometria:
licet enim corum pondus GC Con-
currar ad deprectionem RL, VE
endem caula, cumdem habet ette-
etum, per 2X, 4. 2tqui legmenta
recineantur in C, igicur cylindrus
incurnatur in Cemiparabolamipra.
terea cum punctum C deprimatur
requadtacum CC, ad quadratum
constac; unde sI eNeE LaNEUM CR,
non eset haud dubie ranea deprel-
CG, C A, Perinde INCUTUIANEUI
comiunctim, acque scortim; modo
CO, aftixus plano verricali CF,
iIn F,  toro pondere (C, e recte
Sio, immo esset cantum lubquadru-
CC; punctum veroH, in L, a pon-
dere KC, & recte RC; cerre de-
pressiones CF, KL. Cunc in rarione
Plas nam perinde le habet inomen.
cum CC, acque si ellec appensum
Pondus in R, aequale CC; Luppono
aucem CR, elle aequalem KC; &
perinde se habet leortim momen-
tum CR, acque li ellet appentum.
in O, pondus aequale CR; Luppo-
no aurem CD; elle aqualem OK;
Led pondus subduplum in O, cum
recte OC, haberce tancum lub-
quadruplum momentum; pondus
vero duplum in R, cum recte KC.
haberet quadruplum, re constae
ex Aarica: hinc quo cylindeus est
lonoior, acuriorem parabolam
Facie; quo breuior, obculiorem:
Trague re ad rem redcam, licer to-
tum pondus CG concurrat ad de-
PrestIONeM KL, non camen ad
haiic Colam, Ced ad alias omnes
Lingulorum punctorum CC; scilicet
iuxca eam proporrionem, iuxta
quam momenta crelcunt; led haec
crescune in ratione duplicata ca-
rumdem distanciarum, Ceortim ac-
cepearum; igieur de coniunetim;
igitur deprestiones Cune in rarione
momentorum; e hec in ratione
duplicata distanciarum; rel longi-
rudirum.