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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. 1B. II. DE SON FS.
per reductionem, nunquam ad il-
lum cacum reducieur, in quo cen-
SiOnC CATCAE, vE paret; igieur (I
pondus idem etficiat, quod addu-
dlio in AOE, denuoque chorda, à
Pondere renta, in AOF adduca-
tur; d deinde le te reducat in (i-
cum rectum ABF, res perinde se
habet, acque H, ciera vllum pon-
diis, chorda in ACF. adducatuE,
de polico obice in G, reduCaTUE
tantum in AOF; haec diligenter
obleruari debene, re dicenda me-
lius intelliganeur.
PROP. CEXVII
Explicari possunt in parabola,
tempora, e vibrationes chordarum,
guibus pondera appensa sunt: Sit
chorda A, cui appenlum sic pondus
Z. quadruplum, d chorda B, cui
appentum lic pondus Z, Cubqua-
druplum; ica ve post censionem,
seomencum veriulque, quod pul-
lacur xquale Ec; Capponitur aurem
eadem crassicudo, longitudo, ec.
sine A pulletur Forciiis, sine mol-
lius, tempora vibearionum PUNE
requalia, repacet ex dictis; igicur
cum toralis tentio COMPONatUI,
cum ex imprecta vi ab appenso
Dondere, tum ab impresta, per ad-
ductionem, vel pullationeim, ve
constar ex dictis; Cerré A per pul-
Parionem eam parum pocest ad du-
ci; e B, eam mulrum, ve vis ad-
ductionis B, Sc ad vim adductio-
nis A, re vis ponderis Z, 2d pon-
dus Z; unde necellario in chor-
dis perfecta compenlatio, vel aqua-
eio consequirur; ica ve veraque
aeque renla remanear; A quidem
plurimum per appentum pondus,
parum vero per adductionem, Pei
rum, per ponderis vim, ee muleum
per adductionem; hinc vibrario
B, est ad vibrationem A, POsIca
peaetata aquatione, ve pondus Z,
ad pondus X; praecereâ si chorda
A lupponarur aque cenla, per 10-
lam adductionem, ac per vim pon-
deris limul X adductionem, sicque
Parabola CDM, in qua exprimatur ris 43 a
inceora vibracio, qua chorda A.
se le ita reducie ad licum rectum,
re nihil amplius habeat centionis;
CD est tempus, quo tc vibratio;
DM, velocitas acquilIta; at si re-
mancanE =. rensionis proprer vi
ponderis, in codens liru recto, sic
CFP, =. parabota CDM, haud
dubie F C P, crie vibratio; FC,
tempus; FP relocitas; erirque vis
censionis, quae est ab adductione,
ad vim censionis, gux est a ponde-
TE, VEPFC Sad PEDM; hoc eR VE
1. 2d 4. Praeterea (c chorda B, cui
post reductionem a rentione, equa-
li centioni A, in primo sciliceeret
ductionis puncto; SupexHCtaneiim
. centionis, proprer rim ponde.
FIS; LIE LINMD =. parabOlA DCM;
traud dubic HNO, crit ribratio;
HIC, Tempus; HIH, velocitas; exir-
que vis censionis, qux est ab acidu-
ctione, ad eam, quae est a ponderes
VE HINC, ad FIHMD; id cAt vE 1.
2d 1. etirque cempus vibracionis
chordae A, ad ceripus reductionis
chordae B, VE CF ad CFI; hoc est
rE 1. 2d 2. nempe vibracio CNFK
es quadrupla vibrationis CFB; Ced
tempora Cune in subduplicata vi-
bracionum; quod aurem CH sIB
dupta CF, POlIcO quod TINMD CIE
F. TOrIUS CMD, _ aequalisCFP,
ee consequenter CNIHI quadrupla
CFP; Paulo difficilius est demon
pullarione; B Vero contra, Pa- Arare, cum a locislolidis depen
ad d.
dedua