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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 368, page id 1815201908:0425
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=425
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.90
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

cu ab illa bitariam secetur; linca igi-
tuE A C ordinacim posica est ad duas
diametros, quod feri non porest: alias
enim ipsi AC aequidistances à diame
eris BD, OD bitariam in divertis
Dunctis diuidereneur. non isicurBP
lccac, scd concinsic sectionem in B.
Sic iam P B concingens, illique
xequidistet AC: dico illam ordinarim
esse applicaram ad diamcerum BD.
si enim non, ponarur AL ordinacim
ad BD, aequidistarigitur AP. ContingeHE BF; de quia A C quoque contingenri
parallela est, ipla AL aequidistat A C, Guoheri non porest, cum in A puncto sese
cCMenE. non isicur AL. ordinarim polica ci ad B D, led AC linea aequidistans
Concunseni BF. Ouod crac demonctrandum.
tROPOSITIO XVI
25. ttrino:
DEr dacum in parabola permecto Punecum, concinsentem ducere.
Constructio es demonstra.
Ic in ABC parabolE Pett
mecro dacum punctum B,
oporceat per illud concingente
Ponere: demissa sIC ex B diame.
cer BD, ad quam ordinacim
Ponatur AC, cui aquidistans
per B ducacur BF.: = PacCC II.
lam esse concingencem; per da-
cumisitur punctum, ec c. uod
exactaciendum.
eROeOSITIO XVII.
Arabolam contingens tonueMa cum diametro: ad quam ex puncto
ctum in quo contingens cum diamerro concurric, a parabola bifariam
diuidi.
contactus ordinatim quae dam Polica lIC.
Dico diamerrum incerceptam, inter ordinatim applicatam de pun-
Demonstrati
IE ABC conus quicumque, Lectusan aPer axem A B C, diAMCFeF aurem
baleos AGB, SC A B, in quaa Numpro quovis puncto F quod cencrum non sic
Donatur F II aequidictans AC: _ F. I normalis ad AB: cum per HF, F L haC
sectio, exhibens parabolam CIIL Pontoq; CD, alccomt, pelnclatur patalletor
Sxammum C DB, cuius lacCri BM OCCUEERE F FY producta in F: iunctague CF,
peere
menta.
dinmCero AB protracta OccurraE in K: ponatur dein per T concingens circulum
ATB in P, conveniens cum AB in L, puncto quod idem est cum puncto R: cum
enim CK, sic 2d B FK, ve CD ad FB, id est MB ad FB, id est DB ad E B,
L. D, d compolehao D ad DB. b.  DF; proporcionales isicue sune
crie quoque DR ad B R, veD B ad FB, _ dividendo BK ad DB, ve BF ad
(e  ui    1    . e    .  . 1u u    p   u H 1 1 6     .   H   e     n   pu p     t  .     1 e e i pe  p