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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 367, page id 1815201908:0424
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emontarto.
DAcabOa ABC a BL
illiusque lacus rectum BF, sIC
aurem ec alia quaevis ciameter
F C cuius lacus rectum ponatur
FFI: dico B F minus ese lacere
recto FHI. Ponacur enim ADC
ordinacim ad axem; sumpeaque
FC aequali BD; ducacur pet C
ordinarim ad diameerum FG,
linea LR. mgior igitur eAt, a 1C
quam AD, e TG quadracum
maius quadraco AD: sed FC quadrato aequacuro rectansulum luper HL, F. C,  d. hmins
E BD rectangulum aequale est quadraro A D, maius isicur est rectangulum HF C
rectangulo F B D: aequales aurem sune ex constructione B D, E C, igirur F FI la-
cus rectum maius est larerc recto BP: isitur lacus rectum a xeosminimum est, _C.
Duod erat demonstrandum.
PROPOSTTIO XIV.
IEABC PataBOla axis BD maior lacere recto: de per D ordinarim
ad axempolica ADC: Factaque D F. xquali laceri recto; PONAEUF F F
aequidistans AC, iunganturque D F.
Dico FD lineam xquarilinex DC.
Demonstratio.
Voma P. D lach recto aqualis est, quadrarunt
F F aeguatur scctangulo BF D. addico igitur
quadrato DB, quadraca P E, D P. simul Cumpta; id
est quadrarum F D, ob anpulum F F D rectum aequa-
lc cA. rectangulo BD F: sed e BD F rectangulo
aequale est quadearum D C: aequaliaigicur lune qua-
AacA FD, DC. Quod erac demonctrandum.
PROPOSETIO AV.
Ithislinca per apceuamtel acca; e ordinarim politae aequidi-
stans; lectionem contingic: d conula quae concingenti xquidistat
ordinarim volica est ad diamerrum ex conractu demillam.
Demonstratio.
It dd ABC Pacabolae diametrum
C3. secuta
dictans BB, dico illam, concingere
lectionem in B. S enim non concii-
sic parabolam, sccecillam in F: di-
uisaque BF bitariam in Gs Ponacue
per C e D, linca C D: cum isielir
FiB, AC aequidistances bitariam diuidat CD, erie illa a arametet da Guatu ordina- d i. D. fn:
rim polica est AC; led e A C quoque ordinacim applicata eM ad diatcerum BD, huius.
cum
DBD ordinarim posita ADC: cui
per B verrice diamerriponatur xqui.