# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1164
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1164?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1107, page id 1815201908:1164
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1164
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001164.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 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.

DR A TYR A CTR CYL
Demonstratio.
DRxcedenei cA octensum rationem C A in se ductam addicam carioni C A, ductx
inse, exhibere rarionem F: cum Tad A: Simili pacto inibi est demonstracum rarione
BAelictam in sc addicam racioni F A in se ductx producere racionem C cum C ad
A. led rario B A in se quacer ducta protererationem P A, d ratio F A quacer ducta
namreraque bisin alcera continecur in eodem genere concinendi.
ATC
dacracione ad A, quas raciones Ccam poe also C A in le ducta, c la-
tio C A ducta in le Case Lacte D se Guacet ducta MMC, adtaea LA Fatton Gua
ret HC ela exhibeac rarionem P, cuM LAd f. Gua clam proen ace  tu se
ducta addicararioni C A ductxe inse; pacee cories continere rarionem F. A aILan
racioniY A, racionem C. A in Cc ductam addicam racioni C: A ductx in Cc, Guocies ha
Concinencratione  Gualee cuela, dadicam P A, rationt Guatet la le duetx
Inea AB divila SE vecunque in C, ee daca (ic quaeuis alia DF.
Dicorationem quadrari AB ad DF. Geacacu a GuateM CHCF2
tioni quadrati AC ad D F. quadracum, de quadalt l. D alt L L, Guaa
rum limul cum rarione rectansul  aL. Quadratumpta.
Demonstratio.
Vadeacum enim A
cis AC, CB, _ ACB rectangulobis
sumpro. sed rario quadrari A C ad D F
quadracum, addica racioni quadrari C B ad
DP quadrarum, xquaeur rationi quadra-
TOtum AC, CB ad D F quadracum: a(1-
militee racio quadracorum A C, C B aet D F
qualracum, addica racioni rectanguli ACB
vislumpri ad D P quadracum, efficic ratio-
item quadrari AB adD Ei quadracum; bigi
cut pacec racionem quadraci AB, 2dD F
quadracum, aequari racioni quadrari AC 2d
H. 64. _.
16. L.
2. 32. L
3. 32. +
+4.
DE quadracum, cum rarione guadrari C B ad DP, simul cum ratione rectansuli
AC B bis sumpei ad D F quadracum. Idcin quoque parebic in numets. aId
camenim AB ponatur eNC F CI. SF Rac vE quadracum AB ad D F quaclacum, IIS
DC adRP; Scque A C quadrico aequale s H. Guaate Hagu I. _C
aque rectangulo A C B aequale O R vet SL. CIGOMHOL,L LS aequalia lune
I. C. Ostensum vero elt quod rario F C ad RL Cacem Cam aco MW adLL
_OP ad RL, OR adKL, XS T ad R  CoC LL L)
OP, OR, SIcum exhibeane V aequale FG; pacet quadracum FC ad K L, hoc est
quadracum A B ad D F eandem habere racionem, cam Lacone Guatat A C adD L
acur quadr.
1a
Baden cteltanguli mn D Glac. 
Atrandum.
 e  e ute  es   e t e e e  es e   e  u e  e st pu u u uit e e  e  p e su e   s e s e ue e u s e e  s e e  u e  e e tes s st t es  i