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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 218, page id 779785487:0276
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2 1E
PE ZSICAE F R AC F. III.
Joieur divexHmode (enEIEUE PONUS;
non in FatiOnC aCutI _ GFaUIS, VE
constat; igitur in rarione magni e
Parui: praterca porrio aeris ex-
Dula, responder Luperkiciei curux
exlindei, vel chordae; sed fuper
ficies curnae cylindrorum, ciuldem
longicudinis, Pune re circuli b2.
tum, hi porro re diametri, igieur
in subduplicata balium, vel cylin-
drorum; igitur cylindrus quadru-
plus expellic cantum duplam aëris
portionem; igitur duplo maiore
WOEIL.
PROP. CCZXVTII.
Flinc cum sunt chordae ejusdem
longitudinis, ut in cxthara, ad era-
vitatem sono conciliandam, crassitu-
do suppler lonciendinem; Patec V.
8. ad diapaton adhibererur chor-
da duplae lonsicudinis, Xque ten
Ca, a duplo scilicet pondere; iam
vero li mucari nequeat longicudo,
adhibebitur chorda quadiupla
crasseudinis, eodem Scilicet ap-
penlo pondere, nempe idem poir.
dus chordae quadruplo craltori
appenlum facit eancum Tubqua-
druplam centionem; led polica ca-
dem longitudine, Coni lune in (ub-
duplicata centionum, ve iam Cupra
probatum est; ioirur crie Ponus
chorda, quadruplae crassicudinis,
duplo gravior; cece ribi diapalon:
Elinc vides quam incta sic compen-
Pacio; nam l ad dispalon adhibe.
tux chorda eiusdem crassirudinis
duplo lonsior, appenditur du-
plum pondus, si vero chordae eiul-
dem lonsitudinis adhibetur idem
pondus, quadruplo crassior esse
debet.
PROV. CLALLLLL.
Tiinc partim, ratione crasscndi
nis, partim, ratione loncitudinis. So
ni acuuntur: v. 5. 2d diapaCon, (I sIE
tantum dupla crassirudo, cum eo-
dem pondere appento, deber haud
dubic augeri longicudo, non qui
dem duplo, alioquin Ponus clsee
Gravior, quam par sIE; ve aurem
debica longicudo inveniatur, line
chordae A, _ B; sir B duplo cral.
lior, lcque idem pondus rerique
appensum, de supponatur B duplo
longior; ve ellet cadem centios
pondera deberent esse in rarione
compolica longirudinum e crassi.
cudinum, Per PTOP. 225. IsITUIE
Pondus appentum chordae B, acbc-
set esse quadruplum alterius; igi-
cur censio esser gnadrupla, cum
quadruplo Ccilicet pondere: igieue
Lonus duplo acurior, Tunc enim
Coni in lubduplicata rentionum;
atqui polica eadem censione, et
dupla Consicudine, Conus est duplo
Granior; estgne diapalon: IgiEur
Polica hac eadem dupla longicudi-
nC, d lubguadrupla cenlionc, quE
Cst a subquadruplo pondere, lonus
est quadruplo sravior; igirur, essee
dildiapalon, id est LatiO CONOELId
 quomodo vero dacum quodli-
bec pondus, guasitum fonum in
chorda eiuidem crassicudinis Fa-
ciat, inventa scilicer requisica adt
hunc effectum lonsicudine, dice-
mus paulo post; nempe ex huius
problemaris Colurione, in chordis
diuerla longitudinis, e crassiu-
dinis, cario Lonorum definiri ean-
tum porest: v. 8. idem pondus ap-
vencum chordae B, _ chorda A.
Edcis dildiapalon, ita VE Conus A, CIF.
qu ad Lt