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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 761, page id 1815201908:0818
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=818
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.79
# 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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21
bolar
lun
Corpue
erl
ela BC
1e
BD. B
do
IN PL A HI M
IIaCM POLEIS; HANE AF reCtIS aquales L L, _ ipLIS AL. aquales BI.
Dico DL. Superhiciem ductam in sc aequari F D ducta in L. I.
PR OPOSITTO LXZZ.
bnosbioto.
Droniam F V, L A, F F PEXCCdenEI propolcIOnC OlCIX lune proporrionales,
_ F A lineis aequales ponuntur LiI, erunc d FD, LL. lL proporcionales: et
quia L D lincis aequales tunc TB; (nam rectis AI. aequalestun BL, de rectis AD
aquales BF.) recte quoque FD, DL, TI in continua lunc analogia: quare DL
ductum in seio aequale est F.D ducto in L. I. Ouod Fuirdemonttrandum.
EROPOSITIO LXXZI.
dedeuculo AbC. MMlccipcumicetangulum l. l poluecla
asraltelis lacent BC. hanc concinux proporrionales W F, L C, 6,l. erie
AIB Pacabora.
aequari corpori quod Formatur ex ductu
C plani in planum IF.
a 9. Depro
ressioni
645. twius
1
Dico corpusorcum ex ductu IF. in Pe,
Demonsita
lia sunE SegmMenCA P O, D L. Mc d P DlincL
aquales lineis E C: isicur deciam proxorciona.
les sune IO TB, PF; quare de lL auctum in le
aequale cA IC ducto in PF. Quodtuis demon.
arandum.
voniam ED ponicur rectaneulum recta
LAB, HIC sunE aequales, adcoque se aequa-
ROPOSITIO EXXXII.
us
Emicirculum AB C cuius diamerer AC conringant in A a B linca
A E, BF conveniencesin E, _ B F. quidem aquidistee AL. Sectaque
ex Ocentro ad contactum B recta DB, culibatur ver AB C parabola
cuius axis BD, quam in A contingat rect  LLUIIG anEurq AB.
DicoIK ductum in IL, ad HIC ductum in  Caluhabete rationem
quam FB quadrarum ad quadrarum E. B.
Odddd 3
Demon
la
po   s  s t  sa u a e ute tat ete at  e ti qe tet  et at e      e e  st  t  e e st  a  se e  at t  et a    t   ut  e .  e    t .