# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0742
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0742?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 685, page id 1815201908:0742
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=742
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000742.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 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.

e
BC
C
rum
cu
0
12
1
AIII
ecta
alist
qua
erimi.
SPER A L 18.
 cerminis ipsus in principium spira-
lis ducuntur, ad sectorem habenrem
radium aqualem mmaiori earum quae à
arcum velo qu Mecipitur inter du-
ctas rectas secundum caldetm parres spi-
ralis hanc habet rationem; quam ha
benchaecduo, rectangulum copre
henlum lub rectis a cerrainis in princi-
pium spiralis ductis, a certia pars qua
drari excellus quo maior dictarum lit
nearum luperac minorem ad quadra
cum maioris linearum a cerminis ad spiralis principima
Sensus est, quod ducis a principio Helicis rectis ACD, A E F, _E CCNEO A PeF C
circulo deseripro CCO, spirale spacium C AF. sic ad sectorem circuli ACG ve
rectangulum CAF cum rua cercia quadraci C E, ad quadacum A C.
APPLTCATIC
cermmino ad prsetu latu.
L(E AM, diamCFeF MB, Subcensa
AB; e centro A per F ducto in loirali
circulo secanre AB in S Barve in spira
ad CD, ita in parabola AO 2dOB,
reque in spira A F. ad F. F, ita in para-
bola ASadSB, ee per puncta, S, O du-
ctis parallelis CL, SLN, PCFF _C
AUICANEUT AE F, A C D. Spiralis igieur
a parabola, diamerer AB à subrenla,c
AB, peripherix per B, C, F a paralleliS
BMO L, SN; circuli demum AB, AC,
AE, a criangulis ABMI, AOL, AS
repraelentantur. Ecquoniam ex constr.
Subrensa AB secta eA in O e S, vedia.
meter AB in O _ S, d per 5. Archim.
de quadratura parabolx, OL, SN in C, e P, Gimiliter lectae lune vi AB
in O, d 5, hoc cAve AB in Spirali in O, ee S, hoc eAtve AB _ AF in C
ee F, hoc estperis. l. 4. apud P appum, reperipheria per O in punctis C
C; manitestum est sectorem ACC reprae sencari a criangulo A C C, vei 
spacium (pirale AC P a legmento AC O F exhibetur.
Dicoigiur leomelue ala u C. deleclate
sulum OAS unacum una certia quadrati OS ad quadrarum AO, Bla-
nequemadmodum spirale spacium erar ad sectorem, verectangulum
C AF cum rna cerria quadraci CP ad quadrarum AC, huc ve rectan-
oulum OA F cum vna terria quadrari GF ad quadracum AO. PFOCON:
ructione lume AI aequalem NL, ductaque per Idiametro IHI, per HI
53
ducatur
Sto Patabra L.  Cutus CatSCS
  petn se a  s  l e e te o it i  e e e  a  t tet t    a e  pto qu  e te  tte     e   p   e         te    ltl