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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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L IB. EI. DE SONIS:
icemque ratione crassicudinis du- in ratione orassiudinum: V. 8. CIE
plum; igieur rarione reriusque
quadruplum; igieur pondera Tune
in praetara rarione compolica, ad
camdem Ccilicer rensionem rerique
chorda conciliandam.
PROD. C CZZVI.
Si vero diuersa sit tum tensio, tum
crassiendo, tum longindo, soni sunt
in composica loncirndinum permu-
rando; es subduplicata rensionum;
non permurando: Pacet ex dictis,
quia nulla habetur racio cralsreu-
dinis, Eed centionis; in quo cerre
nulla est dissicultas: hinc caure
leges aliquos recentiores, qui in
chordis diuerla crasscudinis, Bon-
dus pro censione accipiumr; icem.
que in chordis diuerla longiendi-
nis; cum camen rna, longe ab alia
diverta lIc; v. 8. Ei chordae qua-
druplo lonsiori appendatur pon-
dus quadruplum, racio censionum
aqualis el; Cum tameH LariO PON-
derum lic =F. equidem in chordis
eiuEdem lonsirudinis, eE crassIeU-
dinis; eadem est cario ponderum
X centionum, ve lupra dictum est;
quod certe obleruare debuerant
praetaci auchores, ne dicere cogc-
rentui crassicudines tidium aequa-
licer tenlarum, et longirudine
aequalium elle in duplicata rarione
Tonorum, quos etticiune; nam di-
cere debuerant non quidem eque-
cenlarum, sed ab aequalibus pon-
deribus cenlarum, ve vericas piO
policionis constaret.
PROP. CCXZVII.
Chordarum aeque tensarum, e
pulsatarum; einsdem longirudinis, sed
diversae crassendinis, soni sunt se
cundum rationem, magni  paruis
F0m. 12.
chorda A quadrupla B, in crassi-
cudine, haud dubie polira aequali
veriu(que vibratione, duplam can-
cum porrionem aëris Aagellac A;
reducacur enim criangulum vibea-
tionis, in rectangulum v. 8. AM, (18. 50.
Sicque cylindrus AFI, cuius diame.
Tet balIS LIE AB, qui percurrat Tuo
moru cocum rectangulum A ut,
haud dubic expeller coram porrio
nem aeris contenram parallelixipe.
d0 AL; Cuins SciliCCE Ba(IS (IE PEX-
Facum rectangulum AM, X alei-
tudo, diamerer cylindri AB; iam
vero sIE alius CylindeuS AR, aliam
chordam revra(entanS, diameter
BalIS est A C, Cubdupla v. g. AB,
peicurrar suo moru idem planum,
AM; expellet aeris portionem
contentam parallelipipedo AI, Tub.
duplo A C, igicur Cubduplam por-
tionem aeris expellet; led cylin-
deus AK est Cubquadenplus cy-
lindri AEI; Cunc enim cylindri
ciuldem lonsicudinis, ve bales; de
bales in duplicata diametrorum;
igitur cum ratio diametrorum AB,
A C. Sic dupla, rario balium exie
quadrupla; igicur cxlindeus AFI
duplam portionem aëris expellets
igitur duplo mocu, igitur, ratione
duplimocus, Ponum edet duplum,
ex ratione dupli aeris duplum, ioi-
tus ratione veriusque quadeuptum;
igitur foni Pune in ratione duplica-
e2 diamerrorum, igitur re cylindris
igitur in rarione crassicudinum; es
vero cum rario acuri eadem verim-
que sc, _ cum maior chorda non
modo maiorem aéris porrionem
expellar, verum etiam maiore mo-
tu, hand dubie magis aftcie cym-
panum, maior porrio aeris, ina-
iore moru, quam eadem, minorez
igicur