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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 136, page id 799199311:0152
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SALLLSTTANT HNOENTL
isochrosaliane pendulo lipisci datae longicudinis ar.
136
duo passa, e paribus an-
guliau Bminimi, sive insi
considerantur, esse ad circulli circumterentiam; quia nempe ha-
est, E punctum, cut asalitur trianguli BC, B D, sic idem cum
puncto a; cum fucura sit aequarioy x V = b X - X X. AC proinde,
hoc calu, si lumatur a O x = b, hoc est, x = AL, CentrOqueO
per a circulus delcribatur a D N; erunt bales criangulorum a C,
ciangul
rut
OSCKLLS
C2ON13.
da cenreo tum in capunctum B, affigere
sulis abarc aB recedentia, qu
nice parvi existimandi, quaeque, ita sulpensa ab a, oscillariones
Flic, ducta cc perpendiculari in B c, e ponendo A B ∞ a; AI ∞ b;
BC ∞ X; C C ∞ V: invenicur xquatioy x V2 a b. 2 a a - - a X t  b X -X X.
ex qua pater, balestriangulorum C, et D, quae baleshic ur puncta
betur terminus simplex - x X
Licet aulem hic animadvertek, quonta sic nihilo aequalis, hoc
a D, ddillius circumFerentaIII. Cau cur quaelibet duo criansu-
la acurillima, qua ex a ad circumterclan e Coulicuuntur,
maonituame _ licu libi respondentia, centrum olcls s
beant punctum L, politâ a L x = diametri a N; Cuqu CCuuS
totus ex ejulmodi trianoulorum paribus componac; uti _ pOr
eio ejus Ghaelibet, ut aCND, latera a C, a Daqualia LH, IIId-
nifeltum elt, cum circulitorius, cunt percen gatens cuus,
cenrrum olcillationis esse in L.
Kurlus, li in aequatione inventa ponatur : a x  usu v
hoc elt, a criansula attisi e a  ude lonsicudinem
aL leca bitariam, crit y x V 2 a a - x x. Qua aquatio docer, quod
Si centro B, radio qui possit duplum B a, circumterentia delcri-
bacur, e a   deuristimorumBC, BD,
guorum