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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 66, page id 779782283:0152
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P H YSTOE Y R A CF AFVS
I.
chorda, modo plus, modo minus ten- sicam; post decursam datam partens
sa, se se reducun. sunt ve excessus
Eig. 4 tensionis: v. 8. (Ic Chorda AB, FCN-
Pa in AD, EUm in A F. ; SIEguC
F EI, excellus centionis. dupla
DG, alcero excelsu; cum se redy-
CIt AE, in AII, mocu contractio.
nis, relocicas acquileta, vbi F
pervenit in HI, est ad acquilitam
motu contractionis, quo AD, CC
reducit in AC, acgnilicam inguam
ab CXLFCIO pUNCtO, VEEHI, ad DC;
218. 5. cum enim aequali tempore veraque
reductioAat, sit AF, cempus com-
mune verigue; sic AB, velocicas,
Seu ris mocus, inicio reductionis,
qua est à centione dupla; igitur
S, Subdupla AB, eric ViS MOTUS,
inicio, quae est à censione subdu-
Pla; ducantur BF, SF; dico erian-
culum ABF, esse cocalem relocica-
rem acquisITaI; TEMPOTC AF, ab
excremo puncto, polito Ccilicet du-
plo censionis excessu, vel dupl
rensione, per prop. 64. X crianou-
tum ASF, est cocalis relocitas, 2c-
quisira ab exeremo puncto, posito
Tubduplo censionis exceltu; sed
trianoulum ABF, est ad ASF, vE
AB, ad AS; Tunc enim re bales trian-
gula eiuldem alricudinis; (cd AB,
elc ad AS, ve censio dupla, ad Cub-
duplam, effectus. Scilicet, ve cau-
Ta, per aniom. s itemque rentio-
nes, re censionis exceslus, per prop.
59. igieur relocirates acquiliex ab
extremis punctis chordarum, dum
Se le reducune, relocitates inquam
cocales, Cunt re ipsi centionis exces-
Tus, quod exat demonstrandum
PROD. LoZ V L.
ab excremo puncio. post acijalaa
rotale spacium excessis, est adt acqui
eiusdem spatii, vt trianculum sub spa-
iio toto, es prima velocitate, ad tra-
perium residuum eiusdem trianculi-
oui detractum est aliud triangulum;
sub differentia spatiorum, es illo ve-
leciratis eradu; qui comperit instan-
ti, verumque spatium connectenti: Y.
5. Sic Spacium toralis reductioniso
AF, Sc relociras cocalis acquilita
AFB, Sic parS sparii decurli AC; di-
c0 relocitarem acquisitam in (p2
tio AC, haberi in craperio CB, 10i-
tur velocieas toralis est ad acgnili-
tam in spacio A C, re criangulum.
ABF, ad traperium CB, quod est
reliduum crianguli, cui decractum.
est trianoulum CTF, quod est sub
dicterentia Spaciorum CF, X (ub c0.
relocicaris oradu C L, qui relpon-
dec instanti C.
P RO P. F Z VIL
V7 se habet velocitas acquisira ab
extremis punctis, post decursam par-
tem sparii, ad acquisitam; post de
cursam alteram partem, in maiore
excessit chordae tensa, ita se habet in
minore, modo parres sint proporiio-
nales: V. 5. SIE quodtibet tempus.
AP, cocalis reductionis, sinc LICI2-
ior excetus, sive minor; sic velo-
citas toralis acguisIca ABF, deCUE-
Comaiore excellu; licque pars (pa-
tii, decurla tempore P, e alia de-
curla tempore R; Sir. deinde inor
excellus, in cuius decurtu, acqui-
rieur relocitas ASF, SIEque parS
Spatii decurla tempore P, _ alia
Temporo R. Cr. demum relocicas ac-
quilita in maiore excestu, tempon
EC P, ad acquilitam temporeR, ve
craperium C. B; ad traperium DB;
erie velocicas acguisita in minore
exesis, tempore P, ad dequisicam
termp.
LinC Velocitas totns negasato