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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 175, page id 779782283:0261
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LIB. II. DE COMPRESSO ET TENSO.
AFD: nempe si censo A; est ve AI; Pothesum, uniformiter difformirer,
Ten(IO F, eric VEFB, Xc. hOC pO-
lItO SC DO, vis nilus puncti D,
quarenus Ccilicet adducitur ab AD
2d quam FOTA EenSIO ADI CONCUI-
rie; e describatur parabola AFC,
AUCANEUEque OH, EF, LM, RC.
dico, si vis nisus puncti D, SICDO,
cerre ris nilus puncti O, erit OHI;
puncti E, EF; puncti L, LM; quod
n. Sequenti demonstro.
Tercio, ad nilum puncti D, Con-
curric coca censio linea AD, id est
cocum criangulum AID, quod Pra
diecam toralem cenlione FCpEa-
sentar, ex ad nisum puncti O, FOca
censio seomenti AO, Ceu craperium
AOIB; aa nilum puncti F, crape-
ZIUm AIBF; ad nilum puncti L.
traperium AIRL; ec. igicur cum
sic eadem causarum ee efectuum
proporrio, nilus puncti D, est ad
nilum puncti O, re criangulum
AID, ad craperium AIPO; e 2d
nilum puncti E, VE AID, ad AIBF,
de ad nisum puncti L, VE AID; ad
AIRL; igicur sic criangulum ADI
16. OPD eriE, 1. BBD, 4. L. RD, 9.
ecc. Cunc enim haec criangula ve
quadraca lacerum; IGICUE ATDO
CrIEIS, AIBF, 12. AIRL, 7. igicur
SIT DC, nisus puncti D, _OH,
puncti O; de EF, punctI E;_E LM,
puncti L; ita DG, exic ad OH, ve
AID, ad AIPO, per 2Z. 4. id est VE
26. 2d 15. SE ad FF, VE ATD, 2d
ATBE, id eA vE 16. 2d 12. & 2d
ZM VE AID, ad AIRL, id est ve
16. 2d 7. igicur sDG cA 16. OII,
CFIC1S. F F, 12. LM, 7. igiCuT
AMLF N C est parabola, ve con-
Aac ex dictis, quod erac demon-
Arandum.
Ouarco hinc si mulex linex B-
re aiune, vires niluum repralen-
cabuntur a muleis planis paraboli-
cis, simul iunctis; v. 8. si sine duae
linea, erune duo plana; (I ETCS,
tria; d c. quae omnia optime intelli-
suncur in nostra hypocheli pun-
ctorum physicorum: hec porro
Plana parabolica Faciune Colidum
Parabolicum, quod continet
prilinaris eiuldem basis, ee alticu-
dinis quod re oculis Tubiiciam, sit
Prilima AC. in quo allumatur pla-
num parabolicum ABCD, vel (0- X. 8, 47.
lidum parabolicum ABDE, hoc
conrinec. prilmatis AC.
DROP, CCLXXITE
Si linea cendatur inaequaliter, ita
et versus exrremum mobile, continuo
tensio crescat, determinari possunt
vires nisus singulorum punctorum, ad
reductionem.
Primo sic linea OF, incuruata Fig. 48.
in OFI, acque ica centa, vecensO
crelcat rniformirer, difformiter,
ab O vertus F; v. 9. SI FensiO in MI
SIE VE NML; in R, SIE VEKT; in L, ve
IS; In F, VEFO; ac proinde tOCA
censio OF, ve criangulum OCF,
inde vides esse inverlam prioris
hypochelis, nempe in priori hypo-
cheli maxiina censio elE iN CeNETO;
in hac vero, maxima est in extre.
mo mobili: hrinc balis crianguli
IBUCTEIEAE.
Secundo, tota rensio OF, con-
curric ad vim nilus puncti F; e
cora OL, ad vim nilus puncti L. XcCo
ac proinde ris concuriens ad vim
nilus puncti F, est re criangulum
OFO; puncti reco L, veOSi; puncti
R, VEOTI; puncti M, VEONM:
porro cum hec criangula sinc in
mul cendantur, iuxex hanc hy. satione duplicaca lacerum, dicen-
dun