# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1014
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1014?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 957, page id 1815201908:1014
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1014
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001014.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.82
# 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.

NGYLA CPLINDRLCA.
La L
R IMI A
neulam exlindricam, eieusque partes, planis ad eylindri avem
fuareceo descesdad dcbeolsteElblobtb.
 PR OP OS ITIO P R I M A.
EP Riangurum ABC diuitum sIE vEcunque recta AD, quam CeceF
 CHI patuntela BC, duetoper CHI plano F. CHI, ponatur in
OEF, quae aequidistet OHI, iunetis deinde AF, F B, _ AF,
FC, diutsaGuc F. F in I, Secundum rationem BD ad DC, 252-
DicOCOrpuS ALC BF. dividi plauo AID lccundum proporrionem
cur planum per AD e punctum I.
BD adDC.
Demonstratio.
X puncto K linearum GFF, AD communiintersectione, ponancur rectX K B,
KC. EA CK ad RHI, ve BD ad D C, hoc est ex hyporhet M E T ad IF. Cr.
3O sgUTA OKIF. CAad AIGUTAM RI FFT, ve C:R ad RH, Aluctis enim P R,
ZKF, eA errangulum B R L ad PKF, ve eA F Lad TP: LMAHSM QUOque O F. R ad a6. duodes
RFTI DE GK ad K FI, hoc eA F Iad IF.) quare cum 2 PBTAMIS AFGRTad pY.
ramidem A IK HIF eam obcincacracionem, qua figuld  L LLGUTaM PIRFL, B 5. duodec.
eciam prramis ad prramidem cAt ve CK ad R fl. led Ca bPais GF. RB CA
ad prramidem FRETC, DE CFR BAIISAAOAMI ALL SI, HOC CH, VE GR ad R FT, vC.
sitci eriam prramis F RIB ad PKFC peTAMICM. GuaIC COCa prramis G ETKB ac
eotam LK EIF C, rarionem habet candem c CK ALLL, HOC CA BD ad DC
LIGOC ALK EB corpus ad Corpus AIRCC, cn BD ad BC. Ied ectum prramis 
LRDB adTKD C prramidem racionem oblinet quabaS BR D A_LALIDRC.
HOC est quam BD ad D C. Igicur eorum Colidum AID B ad CoM ALBC,
C2+. quim.
proporcionem habet uam BD LnC2ad D C Lincam. uod tuu demoh.
    et e te s pit pat t u u e  e. t pte  e   ue t  u us  e  et  e  a  e  e  ee   oa    e a  te te  a     s