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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 69, page id 1066518432:0097
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et
Ct
DE VTREBOS ET NIOTTBOS GORBOROM. LIB. T. 69
seu celeritas mobilis in quolibet curvae puncto N potentia aequalis re-
etanculo sub radio nZ circuli osculatoris in hoc puncto, e sub Ba quae
solicitationem curvae perpendicularem ex centrali Na. vel BF. derivatam
Sienisicat. TLOC Cst, F L2 = n Z. Ba
Mobile A projectum secundum AR coloritate AI describens eur-
ram AN in ejus puncto N (5. F38.) acquiret celeritatem EF, quam
idem mobile in puncto F, Xque remOtO a CCntrO D, AC CUEE pUN:
ctum N, consequutum eNset post lapsum ex alcitudine HIE, acque
hac celeritate PH in directione tangentis currae N9 aequabili mo-
tu incedere conatur, rerum a solicitatione centrali Na vel PB du-
rante tempusculo quam minimo uniformiter asente indelinenter à
directione NT9 retractum in curra Nn detinetur, adco quidem ut
lineola en ipsi ND parallela sit spatiolum a Colicitatione respectu
curra elementi An uniformi Na vel BE genitum, atque adeo
(S. T5T.) tempus, quo grare quoddam tale spatiolum à graritate
Na CONHCCrCE, FOrCE V (2en: Na) sumta mobilis massa A instar uni-
tatis; at rero. eo tempore, quo en a Colicitatione centrali generatui,
mobile in tansente delcribic aequabili motu celeritate LL. Ipiciolum
es vel Am; quod tempus (5. 128.) est etiam Nm: PF; CrgO
V. (28n: a) = NIm: E F, acque adeo 20n: Na = IIm: R f. 2, vel etiam
2en. nZ: NVa. nZ =. Nm: F F _ permutando, 28n. nZ: Nm =Ia.
nS: F F2. Acqui considerando elementum cuerae An instar arculi
circuli osculatoris centri Z, cujus Nm tangens, crit Nm = 2nL.
um vel = 2mn: nZ, erGO 2Gn. nL: 2mn. nZ (Nm) = eB. nT: mn. nY.
=NNC. nZ: EF; vel substicutis loco lincolarum en, et mn, rectis
Na, Ba, quae ipsis propter triangulorum NaB ec eum similitudinem.
proportionales TunE, Het NVO. nL: BR. nZ = Na. N L: F F3. RrSO F L 2
n L. B4.- Ouod. crat demonstrandum.
LlOocIO aall. lAEOREAA
. Tisdem posris, etit celeritas projectionis AL ad celeritaiem mo-
bilis in curvae puncto NI, reciproce; ut perpendicularis Dq super tan-
sente q in curvae puncto N, ad perpendicularem DR ex centro D FIB. 37
ad directionem jactus AR ductam. Atque adeo sinsula rectansula D4.
EF; dato rec- l0DR. AI aequabuntur.
Nam ductis per punctum n. tangente ns, et arcu circulari ne ex
centro D descripto, ac denique ordinata ef, junsatur NIZ, ec adtan
eentem currae ns demirtatur perpendicularis Us. Quibus posiciss
exit