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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 102, page id 799199311:0118
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DHRISTIAMIANEENTE
   cultum converteret. Ouae proinde alticudo
Fademmratione, cric alciculu ad quam alcenderet pondus B, ce-
leritare acquilita per arcum B V, major quam =. FF alticudo ad
quam ascenderet pondus c, celeritare acquisIta per arcum C Z,
major quam =. Vnde, ductis lingulis alticudinibus ictis in lua pon-
dera, erir lumma productorum major quam accy  ssy - BBY. qua
proinde major quoque probatur quam = rba3 =ca. Nam quia PO-
lica est longicudo x aqualis 
aequale acc. + b ff- + C 8 5. Fc ductis omnibus in y, e dividendo
DEF XX, CxiF = dy +bay+c
aqualea cer rofsy cees Vnde quod dictum
est consequitur. F. st aurem Cumma icta productorum aequalis ci,
quod Ar ducendo alticudinem, ad quam alcendic centrum grari-
taris commune ponderum a, B, C, in lummam iplorum ponde-
rum, a -+ b-+c; si nempe lingula, uti dictum, Scorlim quous-
que posTunemoveantur. Ouantitas vero aas = bdy -= cas producitur ex
descensu ceneri praritatis corundem ponderum, (qui descensus est
R C. Src  ut supra inventum fuit,) in eandem quoque ponde-
rum summam a =+ b =F c. Frro quum prius productum altero hoc
majus ostenlum Fuerie, sequicur alcensum centri graritatis pon-
derum A, B, C, Si relicto pendulo ubi PerVeNEKCINZ, V Z Sinoula
celeritares acquisitas sursum conrertane, majorem fore ejuldem
centri praritatis descensu, dum Cx A, B, C, MOVCNEUE IN F, V, X.
quod est absurdum, cum dictus alcensus descensui aequalis esse
debeat, per anticcedenrem.
Eodem modo, li dicatur celeritatem puncti L, ubi perrenerit
in p minorem esse celericare ponderis c quum in 0 pervenerit;
ostendemus alcensum possibilem centri gravitaris ponderum A, B,
C minorem elle quam descentum, quod eidem propositioni an
cecedenti repugnat. Ouare relinquitur ut eadem sic celeritas pun-
ctir, du P transtari, qua pens c in 0. Vndc, ue luperius di-
ctum, lequicur pendulum ex FCcompositoCKA, B, C, il0-
102
DE CKHTNO
OSCFZ L A-
E1ONId.
major erie quam
Chrostum esse.
OPOSTTIO V
quibue unumquodque podts adest ab nt ostatobiio. d
Ato pendulo ex quotcun que ponderibus aqualibus com
posito; si summa quadratorum factorum a distantiis.