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# Title: [Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ (shelfmarks Leibn. Marg. 70; ZEN Leibn. Marg. 70)
# Folio 148, page id 799199311:0164
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148
CMIRISTIANI ANOEMII
DN ExUrRO aILaCam A D Seu f, quxe determinat locum ponderis D: licque
ntremenda haec distantia, id hechoc modo. Nempe, cum poltu-
abp + ea p- = a ab. a ab
LCF 3
oeut ex hac aequatione ff x pf-
p - + vel - V = e - = abp t caB. = aab. aac VBY
animadverrendum, duas esse rerasradices, L: a b p-+ c ap minus
Tic quam: a ab - a ac; hoc est, si lonsicudop minor sic quam
ab -+ ac
b-= c
quae ancea invenca tuic longicudo penduli ilochroni, sive
distancia ceneri oscillationis à suspentione, in pendulo compotito
exrirga A c _ pondere c.
Vnde patet, (velimus efficere, ur, applicato pondere D, acce-
leretur pendulimotus; posse duobuslocis, inter a e c, illud dil-
poni, quorum urroliber eadem celeritas pendulo concilietur:
velut in D vel F. Ouxe loca aequaliter dictabunt à puncto r, quod
abest ab a, semisse longicudinis p, hoc est, semisse pendulisim-
plicis, cui compolitum hoc iloctronum postulabatur. ApParCE
aurem, quando haec longicudo p tantum exiguo minor ponitur
quam AC, etiam punctum s exisuo superius esse puncto medio
VIrSa AC.
Porro, ex aequatione superiori, fx p- + Vel- V e  = ab p t ac p. aab aac
habetur decerminatio longitudinis p. Parer enim,  pp -+ :  0p -  aca
non minus esse debere quam ab. nac. Vnde non debebit esse
paequeturthuic quancirati, hoc est, Li: pp -+ =aby = ace fuerie X-
quale:
2b - a a
erir jam, in eadem superiori aequarione, fn: p:
hoc est = V = b d - : 4c d -  bb -+ 4bc -+ 4cC- a. Ouo de-
cerminatur distantia ponderis à puncto a, ex qua maxime om-
nium acceleret morum penduli.
Acque dC de lo1o108ocl csie porte aetioucu. vi,
exempli gratia, pendulum horologii, quod lingulis olcillarioni
bus scrupula sccunda noter. Virex autem gravicas lit  gravitaris
appensiponderisinimo pendulo: ec, praerer hoc, sic aliud exiguum
pondusmobile secundum virex lonsirudinem, cujus grariias ca-
a ab -+ a ac- +
b
1ad
OSCTLL+
XXONFS.
lCEuE