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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 142, page id 1815201908:0199
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=199
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.87
# 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.

planorum imparium AM, CO, F. O, aec. velinca VI est ad lincam T.
DR OGRESSIONES
Dico leriem coram planorum AM, BN, CO, DP, XC. eNe ad Periem
Dto.
Eries batium imparium AB,
CD, F F, KC: Consticuacue
separarim; ve V X ipA AB, 8
XX iph CD; _ V Z ipA PF
Sc aequalis: icemque plana su-
 Perhis facta planis AM, CO.
P.  a qualia linc, de Cimilia. pa-
cecigitur leries racionis AB ad
E F, ee rarionis V X ad YZ,
caldem esc. quare cum T X.
qualis sc scrici AB; F F, criam
leriei V X, XZ, aequalis crie
Deinde series a plaMOTUM AN.
BN, CO, est ad planum AM
er linca VI ad AB: d Ccrics
planorum V a, XB, ecc. est ad
planum V X, id est ad planum
AM, ve T ad V a, id est AB.
Acqui re VIad AB, lcrectan-
culum sub V I_ AB, ad qua-
dracum AB: ec VE T ad AB, AC
rectarigulum sub Y ec AB, ad quadratum A B: crgo leriesplanOrum AM, BN.
_c. est ad planum AM verectangulum sub V I ex AB, ad quadracum AB: ee se.
ries planorum V aes XB, Scc. cAad planum V as hoc eA AM. verectangulum T AB
ad quadracum AB. Igicur permurando series AM, BN. eA ad rectangulum Cub V I,
AB, veplanum AM, ad quadeacum AB: icemque permucando leries V a; ZB
eR ad rectangulum Y AB. ve idem planum ANI ad idem quadeacum AB. ergo
Ceries AM, B N; est ad rectangulum sub VI AB ve scries V an X B ad rectangulum
F AB: _ permucando series AM, B NI, est ad seriem V an ZB, id est ex constructio.
ne ad leriem AM, CO, F. 9 verecangulum sub VI AB ad rectansulum T AB)
hoc est ve linea VI ad lincam T: Ouod crac demonstrandum.
PROBOSITTO CXLIIL
Acx sine quadratorum Ceries Dnta, qua habeane bales indirectum,
e lonsicudin os pusscca IL L R. Sic aurem AR divisa in
O, inrarione AB ad BC uR divila sic in P, sccundum rationem
FO ad OH.
nem habere compolucam ex rarionibus AB ad FC, et AO ad F. P.
Scolenem quadratorum N_C, aletem Guaatatorum AIC, Talto.
25. 11.
t        M 1    pir ti ne  .    e  1 1 1.      aa 1   .      a  ugu p