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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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P e ZSICA YR ACTAFVS I.
xumpatur, adhibiris verimque pon- tur AV, YC; ad rempora, quibus
deribus inaequalibus, in A, D; dico reducuneur AB, BC, TUNE VEAVC.
quod cumpecur in puncto medio ad A BC, sed AYC, ABC, Cune
B; Si enim corum pondus applice.
tur in A, ad ducerur choida, Cinc
centione; (i aequale in D, adhibea-
tur, ica re veriulque rires luperent
relistentiam, qua chorda fractioni
relistie, Frangerur in B; ( veroma-
ius lic pondus A, quam D; vel du-
plum D, Cupexar relictenciam pex.
dictam, vel non Cuperat; si pri-
mum, igitur Frangerur in B; quia
non fransieur ratione excellus
ponderis, led contrarii nilus; si
vero secundum, iOitUL NON FPAN-
setur led adducerur chorda a Pon-
dere A. etiam cum pondere mino-
se D, cenla camen in racione dupla
Ponderis D.
PROP. C XLYI
Chorda tensa pulsata extra me-
dium, reducitur jamen aeque cuto, fa-
citque vibrationes aeque diuturnas,
arque si in medio pulsaretur: Y. 5.
Fig. 4. Sic chorda AC, pullata in V, 2 que
cito ribeaeur, e reducitur, acque
S pulsetue in medio B: PEOBaTLE
quia Coni Cune aeque graues, vel
aeque acuri, sine pullceur chorda
in medio. sive alibi; sed rempora
ribeacionum, vel reductionum Pune.
ve loni; isieur vibraciones CuHE
e que dineurrae: Sed probatur a
pciori; sic enim chorda pulsaca in
medio A D C3 quae reducieut in
A B C, sic eadem pullaca in V, et
adducta in ATC; dicO vEramque LC-
duci aquali tempore, quia tem-
Pora, quibus reducuntur Ceomen-
ta AB, AV, PIIE VE AB, AV; 8
Tempora, quibus reduenneur C B,
CV, TUnE VE CB, CV; PeF PFOP. S6.
aequales: hinc rides cantum crel
cere alterum chordae legmeneum.
quantum aliud decreleie; haec est
Latio a priori; lunc enim cempora
Leomentorum Ccorsun, re ipla leg-
menca Ccori, es Pegmencorum
coniunctim, per modum rnius, ve
legmenta coniunctim; Cuppono
enim aequalem veriusque legmenti
cenlionemm.
PROP. CXLVII.
Punctum in quo adducitur, potest F. 5 4.
respondere perpendiculari, cadenti in
extremam chordam non rensam: Y. 8.
SI Chorda AC, FOndatuF pOFeC pun
Ctum ad ductionis ad duci in AR, VE
Patet: quod reuera Het; Ci punctum
Teruatis Temper legmencis aeque
censis, ducatur per clliplim, donec
chordae A X relpondeac; tUnC au-
iem reducetur, per lincam rectam,
ad punctum illud chorda NON Fen-
la AC, cui respondere debet; alia.
vero puncta per lineas huic paral-
lelas reducentur; re patet ex di-
ctis: immo seque citD LeduCETUE,
dc chorda cen (a in ADC.
PROP. OXLVILI.
Ouando frangitur chorda, distra
ctis brachiis, loneior facilius frans
situr, supposita eadem crassitudine:
Ratio est, quia brachia maiore arCU
distrahuntur, igicur maiorem vint
mocus imprimune longiori chor.
dae; igicur facilius chordam dis
FUIPINE.
PROF.
2 La l L120
Chorda reducta ad situm rectum
idicus tempoca, quibus redue denvo renditur, es a situ recto, suco
PrOpri