# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1029
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1029?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 972, page id 1815201908:1029
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1029
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.88
# 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.

V. NOYL A CY22DICA.
Corocurum.
sine consrngulis quarum parces exiltune; de eadem omnino Formari de illis posine
demonstrationes quae rugulis inceeris aur circulis in se ductis inseruiune.
Noula ABD C Sccetur planO F. F C, parallelo illi quod per AC &
axem cylindri ponicur, laque Vongula alticudo aequalis B9 dia-
metrociCuu.
Dicoongulan cocant LsDCD ad parcem decullacam BF. FGD eri-
plicatam habere rarionem eius quam habet AC. recta ad lineam L. F.
Demonstratio.
Vper RF diamecro circulus describatur
KL F, _ ponantur linCX LBPO
nOHL Quoceungne, sed recta ad diame
EruM RF. eric igicur BP O rectangulum
xquale R L F rectangulo, hoc est quadraro
P. L. Amilicer erir ONP rectansulum x
quale RNF rectangulo, hoc eAt quadraco
NM. Vndequia sinsula rectangula ONT P
aequalia sune quadraris MIN, hinc RBF.
ductum in residuum RSR F xquale a est
Colido quod Ac ex semicirculo R L F in lC
ducto: Sed semicirculus RP F in se ductus
ad semicirculum AB C, in se ductum estbin
criplicara racione diamerri K F ad diame-
erum eotam C A sive ad B O. igitur etiam
corpus ex ductu plani RBF in planum
RSO R F ad semicirculum CX ABC, c0
cum in se ductum habec eriplicacam rarioné
linex RF ad diamerrum B O. aequi le-
BMENEA RBF, RS OR F producune sC.
smencum rngulare KDC F, & lemicircu-
lus ACB in CC ductus producic toram vngulam, rei in Scholio praecedenci demon-
Strauimus. ergo segmentum rngulare est ad onsulam in criplicaca ratione P. F ad AC.
Duod eratdemonstrandum.
iXcendi pollalo hanc propolicionem ad solidus quantitates que pienuneur exse
omencis parcium circuli similibus in se ductis, cum illae proporcionales imprimis
PROPOSITIO XXI.
CdiSuotont.
1
Xhac e ex Corollario r7. sequicur quamliberonou l2 ad seomeneum platio iuaca
dereluationem propolicionts abc pabaa abe emetu
quamhabet AC recta ad L. L.