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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 398, page id 1066518432:0426
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98
A P P E N D I X.
P. Sit curra AM ipse circulus ∞KC mobili describendus à gra-
vitate unitormiter agente secundum directiones ipsi AO parallelaS
quo catu P, _E RLF CranCSCUnE, MN sic infinita, _ MR = AR,
PTOPterCA exIE D, ut 3RQ: 2AO. AR, hoc eA, licut tansens anguli
KA ec relictentia ad graritatem, ut 3R ad 2AK, plane uc lau-
datissimi Autores invenerunt.
2. Si loco curra AM sumatur curra, in qua directiones gravita-
tis unitormis MN parallelae line inter se, crit D ut (3RO: 2A
MR) =(RF: 2MR) 8
=B
NTam, quia MN in hisce suppositionibus sunt infiniex, singulx Fra-
etiones, in quarum denominatoribus hae M N reperiuntur, cranescent.
Vocentur itaque ordinatxe currae datae y, secundum quas graritas
unitormis operatur, abscissae respectirae x, radius curraturxe in MI
TCU MR =r, existentibus Mu = dy e mu = du, politis scilicet om-
nibus MNI inter le parallelis, ratIO VeTO RF: MR =dr: d5, FactO
clemento currae Um =ds. Adeoque in hisce Cymbolis exit D uE
ar
3dy
2rdx 2ra5  = R - 3dy drax
=2d5 245.. Sed existentibus dae constantibus
exit r = ds: daeddy, et dr - 3dsdy dsodddy
ax
duday Quibus raloribus in FOr
mulis substitutis resultat D, ut dddy: 2dsddy; ec + R: C = dsdddy:
2dd qui duo postremi canones ad amussim conspirant cum formu-
lis Celeb. Neirtoni PropOL. Z. Lib. II. Pdic. novissimae Princip.
Phil. NTac. Nam, si in hisce nostris loco dy, ds, ddy et dddy ordine
TUBStIELANEUE O0, Or L + , 2R00, ex 650, qua in exprestionibus
Nertonianis elementis illis aequalia sunt, erie omnino D, ut
35
ZRYI+CC
citato.
18. 38.
e
FRes. =3SV1 + OC. PrortuS ut habet Nertonus locO
Grar.
AHR
XIIT. In demonstratione PFOPOL. XXV. Lib. T. 5. 267. irrePSIE
error, dum elementum ordinatae AE. tanquam politirum spectari-
mus, idcireo in proorestu demonstrationis illius sisna ipsIUIS AE
ubique sunt invertenda, quo facto invenietur C = DF, +
(=DF. FA. MIG + 2. FC. EA. RTG: -L DF. FCD. AF 2). nn. DF. Ponendoque PTF
Es2. AOE DF5
=A FC, atque adeo sF = AF = HF: B, _ F  = B. HE: B, -C