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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 47, page id 799199311:0063
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ROLOO. OSCTLLATOK
Nam primo quidem rempus descensus per a B, brevius
comtac rempore descentus per Po, quum sic eadem ratio horum
CLOIDE.
cemporum quae rectarum A B ad FC F TIEqUC A B mInOT quam FC, o. J. H)
proprer minorem inclinationem. Producantur jam Cursum re
etx CB, H C, Occurrant que horizontali a F in m _ NoItaguC CCM
puspetC pota B, aquale est rempori fet Candem B C PoltM B,
cum in plulcto B cade eleritas contingar, sive per LB, lire per
M B descendenet F. MIIIIMIILLquC cempuS PeF C H POSF C, aequale +Prop. 6. hui.
erir cempori per eandem C H Post N C. FA autem TEMPUS PEFBC
postm B ad tempUIS PeF C H POSt N C, ur B C ad c  longirudine.
live uc C M ad er, cum hanc rationem habCAHE _ TeMPOTA Per
EOTaS ML C, N H, _ PEF PaTTCSMB, N C F, ideOque CtIa FCIPOTL LPTOP. 7. huj.
reliqua. FAque B C, inor quam C e propter minorem inclina-
tionem. Patetigitur cempus per B C poAm B lire Post AB, brerius
esse cempore per C H Post s Clive polt FC.
Similiter oltendetur, productis D C, K E Curtum, doncc oc-
currant horizoncali a P in O X P, tempus per CD Polt ABC, Sive
posto c, brevius esse FemPOrC PeF H K POC FC H sive POS P H.
Ac deniquetempus per D E POst AB C D, brerius esse tempore per
HL pOLtE G HK. Duare tocum tempus delcenluS PET ABCD E, brC.
ViUS CTIE LCMPOTC PEF F GH KL. Quod crat demonstrandum.
Flinc vero manifestum est, considerando curras lineas ean-
quam exinnumeris rectis compolitas, s tuerint dua superticies,
secundum lineas curras ejusdem alcicudinis inclinara, quarum in
punctis quibuslibet aque altis major semper sic inclinatio unius
quamreliqua, etiam tempore breviori perminus inclinatam ora.
re delcenturum quam per magis inclinatam.
Velur si linc duae superticies inclinaca secundum curras AB,
cD, aqualis alcicudinis, quarum que in punctis xque alris qui-
bustibet B, e major lic inclinario ipsius C D quam AB, hoC CA, uF