# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0823
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0823?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 766, page id 1815201908:0823
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=823
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000823.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 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.
# 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.

366
OVOTYSLLRAL
eROPOSITIO ZC.
VIneABCDLFccusMcpa quacguectatSuIa AC, OF:
in segmencum HII, ad I. Klcgmencum ductum in scgmencum L. M.
aoporret exhibererationem quam obrinet C FI lesmeneum ductum
Constructio es demonstratio.
Vais NO, R V diameeris quae A B, DE lineas bitariam ee ad rectos dividane
in O_ S: Aanc CEFT Trectangulis aequalia rectangula OPTTZ SE RL M rC.
rr3. parab. Etangulis ae qualia rectangula super OP _ IY: constat AZ B, DT P. eNc aPara-
TT duclo in alcicudinem OP, CLTgitur ductum in flL, ad R L. ductum in L M
cam obecracionem quam e L ductum in alcicudinem OP, ad T. T ductum in
eandem alcicudinem OP, d esc quam batis ad balim, nimirum A X B parabola ad
parabolam DL L. IBIcur, _c. Ouoderartaciendum.
eOStIIO XCI
irculum ABC secet recta quaedam
AB non per cenerum ducta; act aque
per Borchoson2 BC, ducaEUF P. F paralle.
la B C, circulum contingens in F conue-
niensq cum AB linea in F.. dein perpun-
eta B ex F ducatur hyperbola BIF, cu
iusdiaerer AB F ad quam P. F Sc ordi.
nacim applicata.
Dico CI ductum in se xquari 1I6du-
Ao in CR.
bolashrabences verrices in Z _x Y. dico aurem GFI ductum in FTT ad KL du-
etum in I. M eandem obtinere rarionem quam habet A XB parabola ad parabolam
DYE. Duoniam C FII rectangula L Guacta Cuncrectangulis super ITZ. _ P O; C,II
ductum in FTI aequalc est TIZ ducto in O P alticudinem. eodem modo CuM R L. M
rectangula aequalia sine rectangulis supeF L FOP, RP. ductum in L MI XquaEuE
Deon