# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0227
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0227?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 170, page id 1815201908:0227
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=227
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000227.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 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.

1n
LKC. VLVS
P R OPOSITTO
Tprinonne sele circuli ABC, C D B. extCrIUS In C, lInCa VelO AF,
iper veriulque cenerum aeta, ac aluila bitatsam in F, delenBalde qul.
vis circulus cenero F, dpe C. punctum conractus, recta ponatur 6C H.
Demonstratio.
Dico GB, D EI aequales esse lineas.
VnganEuE AB, F D, illisq; xquidistans,
ponacur FI, cric haecnormalis ad GH,
cum ABC angulus rectus sE; vnde e
CEI in I dinila eA bitariam, eAtque AF
ad FC, ve BI ad IC: ex permurando
A F ad BB VEFC adTC. DeindeveDC
ad OF, ica DC eAt ad C I, e coponendor
permucando, De FC ad IC, ICa PF ad
IDi scd ve FC adIC, AC AF 2d BB
ISICUE VE A F 2d B L, ic2 F F 2d. D L, 8
permurando ve AF ad P F, ica B I ad D L
sune aucem linex AF, P P CX Aypochesi aequalesincer se; ergo DI, BT, quoque
tacer le Xquantur; quae l demantur ab aequalibus IFI, TC, manene residux GB,
OFB incer SCxquales. Duod Fuir demonstrandum.
PR OPOSITIO VI.
AECHIECEnE Pese GuS duo circuli in A e B; assumprisque in ACD
perimetro punctis C, D, agancur per illa lincae AC. 6, ADHI: d BC L,
BDF.
Dicoiunclas FO, FH aequales esse.
neri
torei.
Demonstratio.
DRimo, arcuS ACB ambicu A EB inTCrCeptIS,
unque punctorum C _ D, contineat;
quo casucum anguli C A D, CBD arcui CD in
sictenceo GeMu, crone LF, C Hl arcusb quoque
incer lexquales; adaicoisiur communtaccl LC1
 2213 L.er arcns adcoque d linexcaquales.
occunao alcuo tel. ealeatit E altibil
COACCM.