# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1038
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1038?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 981, page id 1815201908:1038
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1038
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001038.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 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.

YN CVL A CYLINDRFCA.
Corollarium.
Odetere aculu exhibebimus rationem quam habene rngulares parres ad lua
involuera.
P ROPOSITIO XXXII.
NVBd OFCnctipcus ecto cylindrus, cuius ongula AB C B, altieu-
Lainem habes D C. aqualem diamerro baleos, sic cerminata in pla-
nO A. D C per ellip DIC: Factis deinde proporrionalibus QE, AF,
RE, de(CHNDac PaTabOlaR OBOS, cuius axis BP.
Dico corpus IL, KM aequari magnicudini quae constar batiOT, e
alcicendinc AD.
imonstato.
plani in LL. Peoductum aequale eAtc
corpori, quodresulear ex plano NO ducto
in alcicudinem NX, hoc est AD: eA vero Y
inVOluCrum vngulA AF. BCGFD, xquale
b NT ducto in FX. Tgicurinuoluerum vn-
Sula xquale eAt Colido super ba( N. O ex-
cructo, ee alcirudine AD. C Orpus aurem ex
NT in NX, cA aequale NO ducto in NX, p
simul cum O ducto in NZ. Igicur eriam
NT ducto in NX, aequatur involuerum
ongulacerna cum OT in NZ: ablacis ica-
que aequalibus, scilicet quanFIFATC NO in
NX, a Colido quod Ac ex NVT in NX, e
quancicare rnsulari dempra a corpore ha-
Bencobalim NT, alcicudinem vero BC, rC-
ManCbIECOrPUIS Cx O T in N X, hoc CA AD
aequale solidae quanricari II. KM. Ouod de.
monstrandum tuic.
Ngula cplindrica ABCD, CMUS
alticudo par Sic diamCErO AD, ba-
SIS ABD; Secerur planO F. F C, quodx-
quidister plano baleos ABD..
Oporreat aurem Colido F.COMF, corpus C a Guat, a
nem habens BF.
Decr.
DEmonstracum est a Colidum ex ductuN F
PR OPOSITIO XXXML
a 159. Vucd.
B Schol. 27
Demo
n  e  ei ut pat e t tute e a ee ste t e et i p a pe t p  t  t  at e  i ep  t s u t t t    et ee  ta  it       t ae te     o