# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0781
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0781?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 724, page id 1815201908:0781
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=781
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000781.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 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.

Ex 16.
nins.
DV CTVS PL AN.
PRODOSIFIO XZV
Virculum ABC secenE dua quatIS IINCA D C, E. P parallelae incer te
_ L quales; IUNGANEUTG; D F.
Dico CB in se ductum, luperticies producere cxlindricas, quarum
communis incerlectio figura est ellipeica.
5. fecundt.
16. huins
25. huine.
demonltralcum.
muniincerlectione; igitur, etc. Ouod tuie
SITIO XXVI
Dico KB ductum in sc, lupertictes producere exlindricas, quarum
communisectio eAt ellipliS.
cundi
E15. hain
Demonstratio.
Ycacur per centrum recta HFI, paral.
lela DF: GB ductum in se, aquale
GHT ducto in sc, a HB ducto in se, à vnd
cum CFI ductoin EL B bis: Sed cam H B du-
ctum in se b quam e FI ductu c in HIB, COr-
pus producie cylmaricum; isitur CB du
ctum in se, superneles producie cxlindricas.
rurlum cum B ductum in se, communem
dproducacincerlectionem elliptin, exhibe
bic de CB ductum in lc, clliplim pro com-
Demonstratio.
Ciacur per centrum circuli recta
LF parallela CFL. KB ductum
in se xqualc Cst RL ducto in L Bbis.
=_ RL ductb in se, vna cum L B,
ducto in lc. LCdFR E ductum in L B
corpus procucic cylindricum, de L. B
uctum in le luperticies producicer.
licaricas Gclaru communis incerle
ctio, sellipsis estiigicur _ R B ductu
in se luperhcies producir ex lindricas
quarum communis incerlectio est el.
ECeNCABC circulum duc ua  patallela d aquales linex C D, F. F:
quasextra peripheriam produclas secer orthogonalis quaeuis G II.
liplis. Duod cult demontrandum.
D quam in D secet concingens quaedam DB, parallela diameero AC,
IUnganEuTQ; AB.
Dico FF ductum in GFI3 corpus producere cxlindricum cuius lu
perticies habene communem incerlectionem elliplim.
PROIOSIrILAMI
Emichuum  Cuas caicut aC Commacua sivi
Denot.