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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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L1B. II. DE COMPRESSO ET LENSO.
vel imprectionis, rel incuruarionis, distantis OK, ad distantiam CC
puncti C, sic ad censionem puncti Cunc enim ve rectes; sed hi lunt in
RE, ve quadracum CB, ad quadea-
EII RC; _ ad censionem puncti
O, ve quadeacum CC, ad quadca-
cum OG; dcc. dico hanc curuatio-
nem ire in parabolam; nempe haec
est incuruatio cylindei CC, affixi
in C, de incuruari deorlum, a pro-
prio pondere; quia MOMeNEU
racione distanciarum, VE paTeE ex
mechanica: porro quaenam linca
Sic ex curuis; an noua, an aliqua
ex iam detinitis; Forre alibi defi-
niemus; nunc tantum constat esse
minus curuam, quam circulum;
magis vero, quam parabolam; pri-
mum quidem; quia omnes parces
Ponderis CC, ett ad momentum, lunc aque curux in circulo, ve
Ponderis R. O, ratione ponderis du-
plum; racione rectis duplum;
isicur quadruplum quippe distantia
CC, est dupla OK; ec pondus CC,
duplum GKL; IOIEUE MOMCNEA PUIE
in rarione compolita ponderum e
distanciarum; ioieur (I aCCipIRMEUE
puncta C, IE, cacio distantiarum,
est =. itemque ponderum, =. isi-
tur compolica 7. pari modo acci-
Piancur C, _ O, Fario ponderum,
elt =. icemque dictanciarum, =.
igieur compolica, . igicur lingu-
Locum punctorum centiones, leu
incurustiones, TunE ve quadtaca
dictanciarum à puncto C; cum lci-
dicet cylindrus proprio pondere
curuatuT; Led Ric iNCUEUREUE in
parabolam, proprio vondere per
PFOP. 260.
Terrio, quando vero appenso
PONdCTE EXFFeIEALI C, CUIFUaTUE
cylindrus, nulla rarione habica
proprii ponderis; ica renditur, ee
incuruatur inaqualicer, ve diuer-
Torum punctorum rentiones, vel
incuruationes, sine ve distantia ab
extremo puncto mobili; V. 8. TeN
i8. 39. 0 puncti C, appenso pondere in
C, est ad censionem LZ, Ve GC, ad
GK; X ad centionem puncti O, ve
paret; secundum vero, quia in
Parabola. Facto inirio à vertice.
procedendo versus extremum br2-
chium, curuicares lingulorum pun-
ctorum Cunt in ratione duplicaca
distantiarum corumdem, ab exrie
mo, brachii puncto; de haec (in-
sularis est parabolae affectio, quam
nemo hactenus, quod sciam, de-
monstrauie; ac in hoc linca; de
qua est quaestio, curuiraces singu-
lorum punctorum, procedendo a
verrice, ad excremum punctum,
Cunt ve corundem distantiae, ab
eodem exrremo puncto; igicur ma-
sis decrcleir curuicas parabolae, a
verrice, ad extremum brachium,
quam huius linea; quia decremen
cum in illa, sc per distanciarum
quadrata; in hac vero, per iplas
distancias.
Ouarto, facile concipi porest,
quomodo cylindrus C O, IuXta PiG. 39.
Praedictas proporcionesina qualita-
Eis, concinud incuruetur; quod re
melius Rac, concipiatur C6, rectas
ad inctar sili, continuo a C, ver-
sus O lenrelcencis; vel aequalicer,
vnde arcus circuli rclultac; vel
inaqualicer, iuxta quadeata distan-
tiarum, ab extremo C, vnde re
CC, 2d CO; nempe momentum sultar parabola; vel inaqualiter
ponderis C, respectuK, est ad mo-
iuxta racionem distanciarum, ab
mencum eiuldem, respectu C, ve eodem puncto C, vnae relulcar
nOCX