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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 265, page id 1815201908:0322
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EL L. IPSTS
PROPOSITIO ZLL.
lrculus cenero ellipleos deseriprus, (i ellip sim lecar, in quaruor punctis
Alecabit.
Demonstratio.
Tcenim ellipleos cenero C descripens circulus secas el.
lipam in B, ducacur axis F D, _ recta BOF; cum ordi-
natim applicetur BK A occurrens ellipliin A, ducancur
icem recta AC C, TC; in criangulis BR O, AR C. BR,
AR, XGUaNEUE, _E KC est communis, angulique ad R RC-
eti; ergo FB, C A equales. quare cum punctum B (c 2d
circulum, eric de punctum A est aurem idem punctum
etiam ad elliphm, ergocirculus elliplum secac in A. Dcin-
de A B, IC Cunca parallelae, adco9: cum angulus AKII
rectus sc, cric criam rectus IHI Riac proinde IC ordina-
cim cst polica ad axem DF, ac bilecta in FI. Cunc aurem
EOtEAB, IC b aequaleS, ergO AR, III carum dimidix
etiam lunc equales. In criangulisigicuE CK A, OHIL, AK
ipE TH, ex KC ip BTIC+ est aqualis, anguli vero ARC
IHI C etiam aequales lunc; ergo C A, C L aquaneur. qua-
recum punctum A sc ad circulum, eric de punctum l. acqui criam punctum I est ad
elliplm. ergo circulus ellipum se cac in I. similicex ostendemus circulum clliph oc-
currere in C. Inquacuor isicur punctis (cca5. Duod erac demonstrandum.
cum Corollariur. cuium
o uet NOn sec et ellipum circulus in pluribus punctis quam quatuor, Facile
colligecur ex demonctracioneiam polica.
viun uut iistat he rusisilo cixerg eslisnt ort
sice chaesa: ce tnes oscur
 . as. D et. et A gech
TELHEIIRBET CsesleanES.
Ae FiglIBieISL NZGIRTA AOC
 od stuin oit
nii
un
co
D_:
ACMLAFE pBlI:
eati eelie sits est
il A 1t ti  ei
aeraic set este
lasii 5l3II
Et 139 LSN DCEBEOD Z IL ∞1D
iit s.3 e A cl: e al A ouDrOn
a 16. 7
tr 13 38 2.12CI csMHill
 CHC SVC
27g 24c
3113it  lei  nit 317
1
Lacsto e1. 
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