# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0972
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0972?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 915, page id 1815201908:0972
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=972
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000972.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

15D
1IIII 11I
buS DE, GFL, TK, hC
G F ON E T R I C A
Demonstratio.
D AcionibuS DR, GFF, TK PM aeduales RanEratiONeS DF, PN, NC, OL. HI.
10 DO componicur ex racionibus DF, F NT. N O. hoc est per consil. ex racioni-
Cest perhypocheu ex iildem, quibus componaac
ni L. Mt x qualts etI. uodetal deMonAtrandum.
has
Ergo per principium 3. hurus libri, cactones  d D ta agcaes. Oeinde
quoniam ex constr. ratio quoque OL aequalis clelacioni LM, crit racio D P com-
Dolica exracionibus D B, CFI, IR, F II. Ced ex ijletem Pemem Compomlacio A R. 1
ISIEUEFACIONES DP, AR aequantur. Duare cum e rationes DO, a Ve
derim esse aequales, per precedencem ratio quoque OR rationi O P, hoc tacte
R OPOSTFIO XCI.
t1
Ic Aad B, raciomaioris inx quamas Compolta ex lactonibus
aD_FF: Sit aurem Laco C D MalOT ratione AB. 
Dicorationem F ad F esse minoris ad maius.
Demonstratio.
racio componieur ex cacione
CD _ F F. racio item AB
componitur exracionibus AC
 GB. Quare cumratio CD
eadem sic ex constructione cu
ratione A ad G. Igicur rario
C ad B, cadem est cum racio.
ne quam habec F ad F: rario
vero C ad D, ponieur maior
dem sic cumrarione P. ad F, erie quoque racio l ad l, minorisadmaius. Ouod de-
monstrandum fuie.
Fitacve C ad D, ita A ad C.
Duoniam exhypochesi AV
racione A ad B, igicur racio A ad C maior estratione A ad D, MITuE CminOL
ouam sicB. Vnde racio C ad B, est mMoris ad maiuS. GaaC C_LAL1O C daB, C7
ILIO XCII
Vlcirerumratio AB, maioris inxqualiraris compolica ex rationibus
c Mancate  maiorrarione AB.
Dicorationem L.LMotem eneratione CD.
lacve C ad V, HC A 2c
C, ratio AB componi.
Tur ex racionibus CD, P.
cur exracionibus AC, GB.
eadem quoque ratio AB
per hypochelim comporti
Acqui racio CD ex concte.
aequatur racioni AC. ergO
e ratio F F per 89. rarioni
GB aqualis est. Deinde
a
Demconstratio
    e .  e   i e   t es a   p it  et   e  t  a    ti     u        su