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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 84, page id 799199311:0100
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niEK = LN- KA
DE LTHEARuM
UKrARuM
DYOLUTIORE.
DTIRISTTANI AVGENTI
Ouomodo porro ratio o B ad BD, SIVC N H ad HL, non cantun
cum a B F parabola est, sed criam alia guaelibet curra
DCCLL-
ca, temper inveniri pollic manifeltum ect. Ouoniam cantum re-
eta FH auCCnda CA, qua curram in adsumsa face cansal, i
F N ipHLe perpendicularis: unde   dL cula et, il
= XII
Cmum,  m
Et Xa+ eX=MN
+
-
84
proinde rario quoque earum daca.
SinErecta K T, LV, Perpendicllate Super XL, Cirque x r xqualis
XE M, et L. V aGualis L N, dCCa VL ParaIlela L N, GUX OCCUTTAE
ipli xr in X. Duoniam ergo lemper eadem est differentia duarum
LK, NML, G  K H hOC CA, quae duarum L V, KF;
esaurem differentiae iplarum LV, KT aequalis XT, ec X V iPEILK;
ic proinde sr m aequalis duabus limulr X, XT, vel ci quo r x ip-
lam X X Superat.
eque adco, si data Fuerir rariov X ad X T, data
quoque erieratio r Z ad urram que limul v Z, ZT, vel ad excessum
v X lupra Z F, hoc es, data CHE rario V Z (ivC L X ad N M.
Sci  que  L iplI K M, e L V iplIL. N,
xquales sumpeae lunc, locum punctorum F, v, Fore lineam quan-
dam vel rectam vel curram datam, ut mox ostendetur. Fr liqui-
demsic linea recta; ut continsit (i a B F conilectio Fuerit, de K L
axis ejus; constatrationem r X ad X T daram Fore, data politione
iplius lineae vY, quae locus est punctorum v, Y; lemperque ean.
AEnon aque liquet quo pacto rario K L ad m e innorelcat,
quam caltcen sempet suees ente lic oltendemus.