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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 75, page id 779782283:0161
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L. LB. II. DE COMPRESSO ET TENSO.
praedictae: FIinc A chorda maiOF SIE ad EF, ita DM, ad FN, sed AB, est
dupla alterius aque cenla, in eius aequalis DM, igieuE DEI, aequalis
reductione exrremum punctum ac- FII; idem dico de omni alia dini-
quiret relocicarem duplam; si eri- sione; igieur praedicta relocicas
pla, criplam, ecc. nam in aeque crescir per crementa aequalia, dec.
tensis, excellus lunc rechordae.
DROP. ZC.
Telocitas acquisira a diversis pun-
Etis chorda tensa, diversa est: Oa
aequali cempore omnia illa puncta
seducuntur, Sed diverlo relocitatis
geadu, igieur diverlam relociearem
diverla puncta acquieune.
PROP. XCT.
In reductione chordarum inaequa-
lium es aeque tencarum, velocitas cre-
seit per crementa aequalia, in seemen.
eis proportionalibus chordarum: v. 8.
lic maior chorda AF, qua dividatur
18. 5. Bifariam aequaliter in D; sicque pri-
nus relociratis oradus, respondens
puncto A, AB; in D, verO Cremen-
cum nouum velocicaris sIEDHI, Cub-
dupla AB, per corOIL. prOp. 61. SIC
aurem menlura minoris chorde a-
que censae DF, dinisa bitariam in
L, primus oradus velocitaris eAt
DML, aequalis AB, In E, VEFO Cremen-
cum nouum relocicatis eAtEBI, qua
eAt aequalis DFI, re paret; sed haec
Cunc Facilia; nam si criangula eiul-
dem alcicudinis, in cadem rarione
diuidantur, linex cransuer (a paral-
delae alciendini erunt aequales; v. 8.
sine duo criangula eiuldem alcirudi-
SIIS BAE, NDF; BIE B2AIS pEimI AF,
Secundi DF; dividatur AF, in D, d
DE, in F, proportionalicer; ica VE
AD, SIE ad DF, VE DE, 2d FF; du-
Cancurque DH, FH, parallelae alti-
PROP. ZC TI.
In reductione iuxta tercium mo-
dum, chordarum aeque tensarum, es
inaqualium, in longiudine; tempo-
ra reductionum sunt ut ipsae chordae:
Probatur quia aequali rempore, ea-
dem chorda reducieur, primo, ec
tertio Modo, per PFOP. 75. 76. _C.
Sed quando reductiones praedictaru
chordari hunt primo modo, cépora
illaru lunt ve chorda, per prop. 36.
isitur quando reductiones AunE
terrio modo, etiam cempora lune
re chordae; v. 8. lit chorda AC, ma- F19. 4.
IOL, CeMTa IN AFC; SIE alia INOL,
Cubdupla AB, a que tensa in AIB;
tEPOTA LCdUCLIOMLIIM CFUNEVEAC.
AB: Fsinc rario luculenti experi
menci; si enim chorda aequerensa
sic alterius Cubdupla, tempus quo
perticitur eius reductio, seu vibra
Eio, iuxra tertium modum, est (ub-
duplum alterius, quo perticitur vi-
bracio maioris: Llinc eo tempore
quo hune duae vibeationes minoris,
vua tantum At maioris: hinc rario
alterius experimenti, videmus enim
Tonos chordarum aeque censarum
esse re iplas chordas, in ratione
acuti de orauis: hinc chorda du
pla cum subdupla aeque centa, Facit
diapalon; sed de his aliâs.
22 20 Lal222
VelemnPous Gnatum ten
cudini AB, vel DM; CCFEEDEI, e di debeat minor chorda, 2t sit aqua-
FH, TIIIE aequaleS; neMPC VE AD;
lis rensionis, cum maiore: Sic chox-
ad DF, ItADF, ad EF; SCd vE AD, da AC, quae cendatur in AFC; SIEFIS. 4
ad DF, it2 AB, ad DAL, _ VEDEo AB, Seomencum prioris; cendatus