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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)
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ATOROLOO OSCILLATOA
ITI.
Si mobilia duo, uriprius, motuconico egrentur, filis aqua
libus vel inaqualibus suspensa: fuerint que conorum altitu-
dines inaquales; erunt tempora circulationum in sub duplicata
ratione ipsarum altitudinum.
T XE.
Si pendulum, motu conicolatum, circuitus minimos faciat:
eorum sinculorum tempora, ad tempus casus perpendicularis
ex dupla penduli altitudine, eam rationem habent, quam
circumferentia circuli ad diametrum: ac proinde aqualia
sunt tempori duarum oscillationum lateralium, eju(dem pen-
duli. minimarum.
X.
Si mobile in circumferentia feratur; circuitu (que sinculos
ab solvat eotempore, quo pendulum, loncitudinem semidiame
tri circumferentiae ejus habens, motu conico circuitum mini-
mum absolveret, vel duplicem oscillationem minimam late-
ralem: habebit vim centrifuram sua cravitati aqualem.
X I.
Penduli cujustibet, motu conico lati, tempora circuitus
aqualia erunt tempori casus perpendicularis, ex altitudine
penduli filo aequali; cum anculus inclinationis fili, ad pla-
num horixontis, fuerit partium 2. scrup. 54, proxime. FXa
ete vero, si anculi dicti sinus fuerit ad radium, ut quadratum
circulo inscripium ad quadratum a circumferentia ejus.
X IT.
Si pendula duo, pondere aequalia, sed inaquali filorum
concitudine, motu conico egrentur, fuerint que conorum alti-
tudines aquales; erunt vires, quibus fila sua intendent; in
eadem ratione quae est filorum loncitudinis.
XTII.
Sipendulum simplex oscillatione laterali maxima acitetur,
hoc est, si per totum circuli quadrantem descendat: ubi ad
punctum imum circumferentia pervenerit, triplo majori vi
filum suum trahet, quam si ex illo simpliciter suspensum foret.
E
DE VT CEH.
XRLFBC a.