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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 107, page id 799199311:0123
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HOROLOC. OSCTICL ATOR.
d
n quadrarorum ab omnibus iltis perpendicularibus.
Sic data E D Parallela recta AL, qua 
era car polira CIc. PoreAt aure
Cummam qu
uram cansaE,
DE CENTKC
SCZLL a-
CxF Z1OH25.
nfiguram vel ab eadem parte C
arre oppolira contingere. Dista
2Ia N
OCenTI
daLeaa laore
ertiouraablcitu prane pertemAL MA. DAD
dratorum quaelicam aequari rectangulo a O rr una
tt
alciplicibus secunaum parcicularum nume.
vila incelligitur.
1.
lu
qua CAtF D
rrari
crica cunci
cum quadrato P. C
PUI, IM Quad
OCCurI
dracis ac cum coridem rectangulis a OHr. Frso quadrata omnia FK
aequalia erunt roridem quadratis e a, cum roridem duplis rectan-
Sulis E. AC, at que insuper toridem quadratis a c cum roridem re-
ctangulis a cr. Aequi eria ilta; nempe quadratum e n cum duplo
rectansulo F A C aquadraro aC; Faciunt quadrarum E C. FrBO ap-
Paret quadrata omnia r xaequariroridem quadraris E C, una cum
toridem rectangulis a O e. Ouod crar ostendendum.
Porro in reliquis omnibus calibus, quadrata omnia F L~ quanEUE
cocidem quadratis K L, minus bis roridem rectangulis K L F, plus
toridem quadraris LF; hoc est, toridem quadraris e a, minus tori-
dem duplisrectangulis E aC, pluscoridem quadraris AC, Cum CO-
51 0B. piao
im FK, l opus Cs pla
e0. Traque pnum, eo casu quo recta eD a figura diltat, X Lan-
rens AL adeandem tigurx parrem ducta est, lc proponu u.
detur. Suma omnium quadratorum e R aGuacur coudem qua-
dratis KL, una cum bis coridem rectanousis R L F,  concm insu-
per quadralis L F. Sed quacaca L L agdantur coridem quadraris
Fa. FF recangula H L F aguarsa u constat coridem rectangulis
ICL L LL L PCA
E AC, quia omnes FL aqualesrori I C N Y. Fc denique quadrara = Prop. 2. hui
E. F aquantur toridem rectangulis H A CF, hoc est, toridem qua-ced