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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 375, page id 1815201908:0432
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AKAB
Corollarium.
Xhis sequitur primo: posica E. F Ordinarim ad diametrum B D qu als III L LLCHE
GCOHEIHSEnEeS duX A D, C D. AI CAS ex F X L ductas ipsiS AD, CD aquidi
sances diansccums quesc BB, In Vio codemque puncto decullare. Patet demon-
Aracio ex praecedenci, cuius converla eAt.
Sequitur lecundo: Polica A C ordinarim ad diamerrum BD demissisque ex A
et C aqualibus diameeris AK, C L, quod rectX Dex R _ F, ordinatim posica,
DB diametro occurrane in rno eodemque puncto. Pacec ex ance dictis demonstra-
tio, cum tansenteS per A e C acta, ordinacim per R de L. policis xequidistene, dt
BD diamecro in rno eodemque occurranepuncto.
Sequicurrerrio: lineam (OT) coniungencem puncta, in quibus recta (BF,
BF) continsencibus aequidistances, parabole occurrune, equidistare recta (F. F) ex
crema linearum B F, B F coniungenti, adeogue lincas O) T, AC, R E esseparalle.
la5. ex ance dictis demonstracio manifesta est.
PROPOSITIO ZZVIII.
Sio ABC parabola clamerer BD, in qua a ssumpro puncto quouis
sD, demiccatur DP. UCans parabolam in duobus punctis A _ F. X Cx
F. Ordinatim ponatur P. F, iunetaque FD occurrac parabole in C.
DicoFF, AC lincas aequidiltare.
Demonsrio:
aequidiltans L. L, _ ex L per Cn duca.
cux FO, convenier illa cum diametro BD
a in D, est aurem ex constructione DF
linea recta occurrens sectioni in C, ipitur
recta FCD, eadem eA cum FC D. onde
ex punctum C idem cum C puncto, igirur
aequidistanE P F e AC. Quod fuir de-
monstrandum.
EP enimnon (inEparallelE, PONAEF AC
eROPOSII1O LLLX
Equidistent in parabola quenislince AC, L. F, iunctisq: AF, C F
Laponatur alia quauis  Pau  Meucns utIs AL, C L
in I_ R.
Dico CI, K HI lincas esse incer se xquales.
monsirat.
DOnatuF L. D diameter rectarum AC, GFI. Ouoniam HIC equidistac A C oI.
nacim posiex, eris HIC in D bbitariam divila: eAt aurem YD Xqualis D R cum L. du