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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 76, page id 779782283:0162
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PE ZSTCA TR AOPAFYS
in ATB; dico ALB _C A F C esse consicir spatium AFC, quadiuplum
aequalis censionis: nempe sIE AB AIB; igItUE AF C duplo remporc
Tubdupla AC v. 9. eE AF dupla AB,
reducieue, quia (patia TUNE VE FeM-
cerre AIB est aequalis ALE; nam. Porum quadrata, in duobus mori-
AI_ IB Cune aequales; icemque
AIXTF; isitur IB d IF. quia PunE
requales uni cerriae; led chordae
centae AF C omnia puncta lunt
aeque renta, Per PrOP. 7. IgieuT AF
d AI Cunc aeque cenla; led haec
Tunc Facilia ioitur hec esto regula
Sic chorda maior centa AFC, vides
criangulum; re minor AB sIc ae que
renla, hac eriangulum AIB aequian-
sulum. cum AFC: obseruabis ca-
men, praedictarum chordaru AC
AB in eo lru rCCtO aqualeM TeN-
sionem Cupponi.
PROD. ZCTV.
Fiinc sparia, inxta hunc tertium
modum reductionis, chordarum ina-
gualium; es aeque tensarum, sunt in
racione duplicata chordarum: Ilatm:
Sparium, quod minor decurrie, in
lua reductione. eAt re criangulum.
Sig. 4. AIB; Spacium vero, quod maior
conticit, est triangulum AFC; Scd.
haec Cunc aequiangula, dE PFOPOE-
rionalia; igirur lune in ratione du-
plicata homologorum laterum, ex
Fuclide; igicur spatia pradicta
Cune in ratione duplicata chorda
TUM.
G OR OF L.
FTine rera rario a priori, Cue
tempora sine ve chordae; nempe.
illa lune in ratione lubduplicata
spaciorum, in moribus eodem.
modo acceleraris; v. 8. Sc chorda.
6. 4. AB, centa in AIB, quae dum redu-
bus acceleratis ciuldem rarionis,
re laepe dictum est.
cicur consicie spatium AIB; (u
vero chorda AC., dupla prioris,
PROP. Z C Y.
Duarum chordarum inaqualium;
es aeque rensarum, maior habet ma-
iorem vim extensine, secus intensine
Secunda pars constat; cum enii
Cingula puncta aequalem censionem
renla in AFC, qua dum reducitu.
habeane, habene eriam aequalem
rim; nempe vis morrix cum ipla
vi. censionis proportionatur; prima
pass probatur, quia maios chordo
habet plura puncta cenla; igieur
maiorem rim centionis, Scilicet ex-
censine; quemadmodum Caxum
maius, licer incensive camdem vim.
habeat grauicandi, exren sine tamen
habet maiorem.
OBIEC F10.
Ex his, ruum porest obiici con-
tra ea, quae diximus, Scilicet ma-
iorem vim morricem maiori chOr-
dae aque renta inesle, igicur maior.
mocus ex ca lequieur; nempe LUnE
plures parces adducentes, et quali
erahences: Relpondeo elle quoque
maiorem mocum exrensiue; id est
plures partes moveri; a licer line
Plures parres adducentes, Pune
etiam plures adductae; vnde AE
compenlatio:: quemadmodum im
maiori Caxo, es maior impetus
ExEOHLIME, aE IaiOFCI CFIaM MO-
lem monet. Ccu moueri exigit; igi-
cur cum in eadem proportione sint
plures partes adductae, in maiore
chorda, aeque renla, quam in mi-
nore, in qua lune plures adducen-
res, et vicium; cerre inirio idem
veriulque