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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 90, page id 779782283:0176
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PE ZSTCA YR ACT AFYS I.
aequalem causam per 2X. 4. Sed sup- chordae B V, Bu cenero immobili
ponitur aequalis censio AB, in AC, B 2ftixae; sed hoc polito, vis qua
ec V u, In AC, PeF prOP. 122. igi. cenditur AB; in AC, est ad illam,
tur vires, quibus reraque cenditur, qua tendicur Bu, in BC, VE AB,
Tunt aquales.
PROP. CXXIV.
Fis 4. Vis axplicata extremo puncto V
aequalis esse debet applicata extremo
puncto u: Patet ex terminis, quia
E maius pondus appendicur extre-
micari V, secum adducet etiam ex-
ECIMIEaCeI C, _ punctum B non
remanebie immobile, quod est
concra hopochelim huius secundi
MOdi FENSIONIS: VETIIIM VeTO PONIE
eciam fieri censio. quando omnia
chorda cenlae puncta adducuneur,
axplicaris hinc inde ponderibus
inequalibus, dicemus paulo polt.
PROP. CZXV.
Vis; quae admonerur puncto B, ex-
is +. tremo chordae AB. Vt tendatur in
AC, est dupla illius, quae admonetur
puncta p ile que illius, quae admonetur
puncto V, extremis chorda V V, 21
cendatur in AC. PEObaEUE, quia vi-
res quibus reeaque chorda aeque
2d Be, id est dupla; cum A B sIF
caEx V, cum applicacae a, Cimul
Cumpexe; sed haec tora vis Cinul
Cumpra, aequalis est alteri applica-
ca B, qua AB cenditur in AC; et90
EUE cantum p vel V; cum SIE _equa-
B, VEVB, ad BA; id est ve Segmen- F13. 4.
eum chordae adductae, iuxca mo-
adductam, iuxca primum; modo
Supponatur aequaliras chordarum,
mis V, ee u; isicur illa, quae appli-
subdupla corius, id est cum appli-
lis illius, quae verique simul appli-
CatuI: Praecerea quando cendicur
Vu iuxta modum praedictum, per-
Flinc ris applicata puncto extre-
dum secundum, 2d cotam chordam
dicur. distribuieur aqualIEeE CXEIC.
CatUE alEeTI FaNEUI CXFTEIO V, eA
haec est duplaillius, que admone-
C OR OL L.
MOM, eA a l appliCaTAIM CXErCMO
cenditur lunc aequales. Per prOp.
723. Ced ris qua chorda V uECI-
dupla Bi.
inde se habet, atque li esent dux
_ tenlIONa.
PROP. CZZYI.
Spacium decursum a chorda V V. Fi8. 4
inxta secundum tensionis, e redu-
etionis modum, se reducente, est ad
sparium decursum a chorda AB,
agne tensa, iuxia primum modum se
reducente. et VB, ad AB: C UII
enim (pariu decursim ab CRELC
mo punsco V, dum scilicet chorda
centa in AC, Se reducic in V u, SIE
VA; icemque decurlum ab extie-
Io puncto p, Sic C u; spacium de
curlum a Scgimenco B V, est VE
criangulum rectangul. um; cains
alterum lacerum, circa anguium
FCCEUIM, SIE VE A Y, AlECFUI VeTO
ve VB; sparium quoque à segimen
toB, decurlum, est criangulum
aquale priori; at sparium decur
Cum a chorda BA, aequecenla, dum
Scilicer ab AC, reducie ad AB, est
triangulum rectanoutum, (ub BC.
BA, per prOP. 53. 2Equi hoc vIti-
mum criangulum est qua druptum
crianguli prioris; igitur si acci-
piancur duo illa criansala minora,
Faciunc Sparium Cubduplum; igi-
TUE SpatIa LUNE VE TOCa Chorda
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