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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 348, page id 1815201908:0405
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11. 111 1
ELVIPSIS.
ectangulum sub FF d relIqua
parcediameeri re quadracum D NI ad
quadrocum AI, hioc est, ve quadratu
BEI ad quadracum AI. ergo ctiam
rectangulum lib OFI d reliqua par.
ce diamerri est ad rectangulum lub
OB e reliqua parre diametri, ve qua-
dracum BH ad quadratum A I. el
liplis eroo crantic per punctum B. Lamm
quia cllipas circulo aqualis eAt ve
lEGMENTA BF C F, A N B D; quibus I addaS sEGMENEA B P C, AN B; gua 2 Equa-
lia sunt, segmentum ellepricum BC E. basim habens rectam B C xquabicur lemen-
cocirculari AD B, balim habencirectam A B. Factum isicur est quod perebatur.
PROPOSITTO CXCVII
Sto ABC lecemu quodcunque circulare, OBOrTCE (uPeF AC
lubrensa leomentum consticuere ellipricum, daco AB C Peomento
aquale, cuius vna e diamerris conincaris sic data quae sic maior diamerro
G circuli ABC.
Constructio es demonstratio.
NvEnEO P CenErO circuli A B C duCatuE
Per P diameter FC aequidictans rectx AC
crectaque ex P normali EB, quX AC li-
neam bitariam diuidet in FI, AQACUE PeF B
cangens BD, deinper FI recta ducarur ID,
aequalis daca occurrens cangenei in D eC FC
liamerro in I. Racque TK aequalisrectx PP,
ex IE aqualiS P G, CHM PET RDE puncta
ellipsis deleribatur, occurrens AC lincx vE.
182. Mm. Octendi supra, ablaco communi segmento curuilinco A N B P C, XguaLIA FCMAHCHE
118.
Collisis
in5.
or 280. hn dum.
cunque in MI. dico factum esse quodpecitur. Ouoniamenim L K, D Y diametri sine
coniusaix _ BD Parallela ip(I L K, PaCeE F. D concingere clliplm KDL, adco
170. hu. Guc b rectam MHI aequalem ipsi AFI: elliphs igicur eransibic per punctum A. Co-
dem modo ostenditur eransire per C: isitur cseomencum ellipricum AD C aequa
Collisitur Ie est scemento circulari A B Ci super data isirur linea AC, etc. Quoderat Facien
eROPOSITIO CACVIII.
attculu a cato iu Decit
sia puneto, in dacos nume.
olectores aequales diuidere.
Constructio es demonstratio.
Aca SE ellipsis A B C axis maior
AC, cacum in Peripheria punctu
B. Opcatab hoc cllipum sccare ilI
sectores cor aquales quoc volueris.
In lCx.
lu. cuinseribe A Flacus poligoni cor
Ba
Biamerro A C deleribe Lemieireu.
e ee et    e e   e  s. .  e e e t s e  se e e te 1  p e p t u t e e e e  u t ut  e t   e 1 e   1