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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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LrB. II. DP COMPRESSO ET TENSO.
in sernicirculum MI E K; d CF cundo sI addUCAtE VEEAqUC ExErC-
cendatur in semicircutum NFL; ac mitas arcus, medio, vel imo-
proinde rectangulum DI, Parcim bili reicto, vel in aduerlam par-
comprimacur, parrim dilacetur;
in quo nulla est penicus ditticul-
Ta5.
Ominco in lunatione; COrpuS
magis cendi, quam comprimi mul-
ea enincune; primo quia E redu-
CatuE aEcuS, per compressionem,
reductio maior, e minor aeque
dincurna non essent; quod cAt
contra experientiam; quae maxime
18. 51. ex lingula ferrea AB perspicua
redditur, ex cuius reductione, et
lunarione, sive maiore, sive mi-
nore, idem Ponus auditur inratio-
ne acuri; igieur aeque ciro hune RX
reductiones; igitur per censio-
nem HuINE, non vero per compres-
sionem: Secundo, Ferrum tinctum,
seu remperacum lunatur, de redit:
sic laepe vidicti, gladium ad capu-
lum vique infecti, acque adeo l0
se restiruere; quod tamen Ferro
inime temperato, Peu diluto nOn
accidic: porro illa dilurio, nihil
addic ferro, nisi cenuissimas hali-
tus particulas, laxis poris inductas,
in incimas ferri candentis AbC2S;
igicur ex his, Se innumeris fere
aliis, haberi porest, in censo ar-
cu, licer aliquid compressionis
contingar, perinde camen rem (0
habere, acque s cersio S0la (u2S
Partes ageret; igirur deinceps rem
rem repullo; NICV. 8. A G, CuiuS
veraque extremitas AC adducitur
in LL, P, _ FOFA LeCta AC, in at-
CUmM HICF, opera chorda HIEF,
ceurro C relicto immobili: Tertio,
Si chorda ABC, immobilicor atti-
gatur in B, dum adducto puncto
C, In D, EOTA AG inCUTUaEuL, in
ADO; igitur ex hac inductione
habeneur eres illi modi, quibus
tendicur arCuS.
PROP. COLVTII.
Duando arcus proprio pondere
tenditur, iuxca primum modum, cur-
natur in parabolam: Hloc iplum
probatur codem aroumento, quo
supra probanimus chordam ten-
Cam in parabolam inflecti, Ccilicet
in prop. 162. eadem enim est pro
recaqueratio, quam intra prole.
guemur.
Ouando verd tenditur arcus, iux
taceriium modum, non curnatur in
parabolam: Racio es, quia pro-
prium pondus ACG, quod deor-
Cum tratrie, C in D , _ AG, in
ADO, idem penitus non praestat
quod praestaret pondus appentum
in C; nam vis ponderis non distri-
buitur eori A C. codem prOrtuS
modo, acque (i etlet proprium
pondus, ve demonstrabiimus pau-
ita accipiemus; atque rnicam ren- ld post; nempe vis proprii pon-
sionem in lunato arcu considerabi-
MUS.
PROP. CCLVI
Tribus modis potest areus lunari:
Primo, proprio pondere, sic enim
639. longissima perrica AO, proprio
pondere lunacur, in ADC: Seu
deris decrelcir secundum quadra-
ta distanciorum, ac vis ponderis
appensi, decreseie secundum la-
cera praedictorum quadratorum, de
quo infidu