# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1100
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1100?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1043, page id 1815201908:1100
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1100
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001100.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 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.

SPH AR O1BC3.
eROPOSTTIO CXIV.
Pharoides sectum plano per axem
Acerur e altete prano per centrum
Priort adusstectos.
horuu planorum ab axc bilectam este.
Demonstratio.
quoque planum BD R, PEF CCHErUM F COn
Ricucum priori ad rectos angulos, producat
communem incerlectionem B F. Dicoillam
in E biseccam esse. nam B F F. linea est non
minus in plano ABC qua sC in plano BD F.
Sed prour eA in plano A BC elliprico cran-
sc PeF F cenerum ellipleos, ac proinde bita-
riam in F divila eA, isicur cciam prour est in
plano BD , bilecta eAt. Quod Fuicdemon-
atrandum.
PROPOSITIO CAV.
anoper centrum sphxroidis polito haltudnormalirer per axem isti
L inliltat, communisincerlectio exhibebicaxem cllons que Pet atC
Spharoidcosnon cran(IE.
Demonstratio.
Dico communem incersectionem
Aplanum ABC BTaxem AC, alCOrUI
Ecccur sphaecoides AB C plAnO BDP, PeF
centrum sphaeroideos F; agacur deinde pla-
num per A C axem sphxeroidis quod norma-
licer plano BDE insiltac, exhibens commu-
nem incerlectionem receam BF. DicOBF
exem esse secrionis BDF. per cenerum F
Donatur planum ODII reccum ad axem
A C, eric a hoc circulus, ec quidem b plano
ABC rectuIS. sic aucem DF L communis lC
Crio planOrUM CDHI, BD F. QuI2 VCTO ABC
elliplis est cuius F es CCnErUM, CrGOTCCTA BL
aqualis est FP, est aurem eriam FD aequa-
lis I F repoce in circulo GDFIL, Per Cen-
erum acta, deinde quia plana BD E, ODFI,
recca luntplano ABC, CrIE CD FL commu-
BL. X L. D, axehetu secrionis BD F, quX
vera elliplis octenta cA.
nis eorum sectio recra plano ABC. quare
cum DI. Sc dinila bitariam in F, diuidacque
BF bitariam ad angulos recios, necellario
1043
u
ba
Aet
. Dndeb.
e  e oi