# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0744
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0744?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 687, page id 1815201908:0744
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=744
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000744.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.81
# 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.

10
LAHL L.3
Demonstratio
LanEAT rECtA BHE, HIL, LMI. quo
niutii ad secundum ACvE.. 2d7. TauO
sum ele e  PoP. 24. Mut45. 10d
aucemcercium lic19. sic demonstro o
B A B, hoc ek rigincilepcup lulegmeti ABRA,
repoce parris cerrix iplius B A B; quemadIOM
dum in bodepalabadeoaH. e
80 etiam criangulum L AV. cA vigincileptu.
Telquialcera ipus AO, eciam AII iphuS AL,
ac proinde _ criangulu ATIL criangulI L R P.
Sublelquialcerum eA. Ergo cum I AL. ad lc-
BeNEH ABK A (IEVE27. ad I. P ABI, ad ABH, C
CTIEVELS. ad I. AEqUI SCGMENEA FTLO, A BK, ve
in libro de parabola b osteddimus, lune xqualia:
Ergo addico ad criangulum AHIL, Segmenco
TTLO, CocumICSMCMEMM AFIOLA CHAOICOMENCUM ABR VE 19. 24Y.
Similiter demonstrabimus criansulum M AM HOC CH LAB, elle decuplosexc
plumeriansuli B AB, ac proinde criangulum AM L ciuldem esle duodecuplum,
hoc estrrisecuplosexruplum segmenei AB K: cui si addaS sEGIMENEUM L M P, quod
aequale est Segmento ABK, tiDF sCBMEntU torum AM P I. A ad segmencum ABK
vc 37. 2dr.
ALOR 19, AM P A 37, leSMeMCM AFINR A, hoc elt pria 6; lc
SIMENEUMVerO A. P, ONK A, OC esEria prIMIa, 27: (CSICHFIIALITEI AMI PONK A.
hoc est quaa pa 64.
Dunce in his quoque cam multis eam que miris propriccals patt  a.
la conveniune. Ouod erat demonstrandum.
pEi
CH
TUE CTI, DL, in R, S. ex iis quae sub inicium
demontraciomIS Pro Z. allertioMC Lp. 14. aIlace
diximus, parcclincas S L, LD, imo e L L. LF
omnestncerle aqualeselle. LrrangitM ioieuE.
T ALG eciangulun lcangulum
FAD, cum (ic ad criangulum B AB in dupti-
cacaracione DF ad BB, est nuncuplum iptius
plum seomenci ABK A. Cum aure A C siclub.
B269. DC
parabola
Ex quibisdenique illud eriam eA nanttectum, quod Cu AB R SC T, AHN A7:
26. 1D0tL1
X
apst2t. nori +. Patabota a Blbearo
Appus Collectionum, Machomaticarum J 13. l 212
da illis qua ab Archimette propolicione vise 
circulationis producta in B, per A principium
Spire normalirer dividaturrecta MI N, Pegmen-
EA GUOqUE AFN, AGNHI, EI AM, M AB
candem leruare ratiOnCM, QuaM 17, 19, 37.
libro quarto propolicione sclima secuny i se
Tima leprima demonstraneur, hoc insuperad-
didit Theorema; Si recta quae est in principio
1
  t e    te e t e te e e ete t e e e t t t e   e Ae  e te ti   te e tete  t    u e t  ti  e   te   e e e   t