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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 ZSC AE T R A C F, III.
chordae, Sicque chorda A, cniuS
bals SE dupla ba(S chocdae B, per-
inde sc haber chorda A, aeque (I
eltent dux chordae aquales chOr-
da B, aeque tenla, de limul iun-
Etx, Led duae simul iuncta, aeque
centa, ae que ciro ribEanEUE, atque
Singulxe Peortim; igieur ae que acu-
eum Conum edune: Obleruabis au-
rem crassicudinem aliquando aNu-
mi in diametro balis; hic accipio
peo ipla bali, Cune aurem bales in
duplicata diametrorum.
DROP. CCXXIV.
Si appendantur pondera chordis
einsdem longirudinis sed diversa cras-
siudinis, tensiones sunt in composita
ex permutata crassicudinum, es non
permutata ponderum: Probatur eo-
dem modo, quo supia probata est
PrOB, 221. est enim par verimque
ratio; s enim lic aequalis racio
ponderum F. ee crassicudinum
ratio (Ic =. PeTUTeTUE =. X
componatur cum ?. compolita
eric =. ratio scilicer centionum,
nam numeratorem fractionis cral-
Liori chorda cribuo; sic aurem
ratio ponderum =. crassicudinum
PETIUTATA E. TENHOHeS CEUME
aequales: Obserualti iam, ni FallOr,
censiones aliquando accipi pro ip.
as ponderibus, cum Ccilicet est eas
demracio ponderum ee rensionum;
quod revera accidie, cum appen-
duntur pondera neruis ciuldem
longicudinis, de crasirudinis; (1
enim vel alcera diverla est, tunc
rario ponderum e centionum di-
versa est; igicur cenlio, PrO PON-
derc, accipi non porest.
DROP. CCXX1.
Tlinc soni sunt in subduplicata
tensionum id est composua ex permu-
tata crassiudinum e non permutata
ponderum; Polica Scilicet aequali
longicudine; per PrOp. 223. nam
centiones lunt in praetaca compoli-
ta, PeF pFOP. 224. crgo _ Coni in
Tubruplicaca hruius: hinc multum
discrimen est incer longicudinem,
e crassicudinem chordae, quia (
sc diuerta longirudo, ee eadem
CTaIELEndo, _ EenHO; CONI LUINE VE
longicudines permutando; at (I SIE
diverla cralscudo, cum eadem rum
longicudine, cum centione, loni
lune xque acuri; neque (UnE ve
cralticudines, quia chorda crasior
xque rensa, aequali ri reductiua
poller, nec maiorem ribrationem
conticir; igitur xe que cico reduci-
tur; ac longior maiorem ribracio-
nem conticic, Xc.
PROP. CCX A 1.
rum aque renlarum de crallarum,
Loni lunc re longicudines, permu-
tando; e aquerenlarum, d xeque-
longarum, Toni lune xque acutis
re demonstrarum est Cupra; igitur
SSc diuerla crassrudo, d longi-
cudo, cum eadem censione, foni
lune re longicudines, permutando:
Porio ve habearur eadem rensio,
debent pondera esse in rarione
compolica longirudinum, a cral-
licudinum; nempe hc craltirudo
dupla, icemque lonsicudo duplas
chordae A; ratione longirudinis,
deber appendi pondus duplum,
ITEITE
2i
Si chorde sunt ejusdem tensionis,
sed diversa rum crassicudinis, tum
loncinums, sont sunt et loncicudi-
nes permutando: Nempe chorda-