# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1086
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1086?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1029, page id 1815201908:1086
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1086
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001086.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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.

HOVL A P A R ABOLTCA.
tROPOSTEIO AOTII.
1023
IEA B axis parabolX CDB, e ingula parabolica ABL. C in luo cs-
lindro AC. O E B; polito deinde lecunaM TeCAM DL CAMLEHCeM In
Superticie cylindri plano C BF. O, extibence in plano parabolico AL. C
quod ongulam cerminat communem incerlectionem OF, in bali vero
cylindrica OM F recram OF; diuidatur C B bitariam in KE, ee per K pla-
num ponacur parallelum plano ABE, secans superticiem exlindri secun-
dum receam DM parallelam B F; planum vero C B F. O, lecundum re-
Ctam IE P occurrentem linee CF, in puncco l, (in quo iptam R P bita-
riam diuidi pacet, luncenim CK, P F aquales, _ parallela, ac proprerca
VE DE ad C K, sic P L ad IH) divisain suip er D MI bitariam in FI, PeF re-
ccam CPE, e punccum H secrio hac, Formans in superticie cylindri li-
DeaM C LI E, _E (UM DEOIN FCCCA D HTMI, puncco quonis F, peF C F XF,
2gc planum quod Faciac in exlindri superticie lineam C F F, ponaturque
per laequidistans reCTE C B rCCEA NIC, per quam e puneca HI d F, a-
Bantur planA NHIG, NFC.
Dico Colidum planis CHE, CFP. cerminatum aequari magnieudini
quae claudicur planis NFO, N H16.
Demonstratio.
Vngantur lF, IF, CFT CF, GTT, GF, de
NH, NF, FHI, P F. quoniam planum
LDM aequidistac rectis BF, CO, CrUNE
binae prramides IHEN, IHF C; irem bi-
nXe THEC, IHFE aquales dux ioicur
IHEC, IHTF E aequantur duabus ITIFN.
TITFC. Acque hoc iplum demonstrari po.
rest de aliis quanticacibus gux Formari pol-
sune pet subdivisionem lesmentorum CD.
DB in duo aequalia segmenta parabolica,
conrinuando eandem constructionem in-
scrixeionis qua vu sumus praesenei proposi
tione s praecedenri: igitur per c2a que de-
monstraca lunc libro de proxressionibus
Ceomerricis constat quancicarem ongula-
rem NEIFC aequalem esse magnicudini
quae continecur planis CHI F, C FP.  u0d
Fuic demonstrandum.
cReTOSITIO
XC IV
ecctu rata palaboa a lello
L. tL Quouvai aguenie cma cee AD onalatum I. pertacu
AIB aris, sccundum quem hac secrio exhibens in cylindri superticie re-
ctamm B C occurrencem secrioni P. PL, in puncto F. polcis in (UpCF P P,
FL, et AB, BD, plana conAiTuanEuT ABC, DBC, _ L F C, L. FC quo
am
a Cylindro decussata ABCD plano