# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0220
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0220?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 163, page id 1815201908:0220
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=220
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000220.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.86
# 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.

M
A
diaq
Ira
erit
ries
leate
GEOMETRIC AE
dEAEOTUM MD, 9F, ec. eadem est cum serie quadratOrum RC, OB, esc. rectan
sulum isicur B2. lerici quadracorum CR, OB, _cc. Xquatur. Ouarc cum rectan.
sulum a Z _ series quadracorum HIB, ND, Q F, aec. icemque rectangulum BZ
_ series quadracorum C K, F. O, dec. aequalia sine, eciam excessus rectanguli a L
super B7, et excestus seriei FIB, MD, _C. super seriem CR, F. O, Rc. aequales
CrUNE. Acqui exCesuS a Z CupeE BZ est a X, id est ex construct. quadracum FTB.
excessus vero serici quadrarorum BII, MD, _C. Super seriem quadracorum C R.
FO, REC. UINE ASUTX BKICTTO, DONEML, F RdTOP, aC. ergo RgurX
illa omnes Cimul lumpex xquancur quadraro HIB. Quod erac demonstrandum.
PR OPOSITIO CLKAI.
IIdem poliris,
Dico superticiem cubicx pyramidis, a qualem elle luperticier paral-
lelepivedi r8, cuius balisr = sic primi cubi quadracu, alcicudo vero y n x-
qualis serici rarionis primae A FI ad cerriam F. 9. Per Suxertciem aurem
prramidis cubica incelliso hic superticies omnium cuborum, excepris
quadraris CH, F. O, TR, _C.
Demonstrato:
Eetangulum nd concinetur li.
nea va, aequali seriei rarionis
AFF ad R 9. de alcicudinc yd, que
equalis est. A FI; est enim quadea-
umy E xquale quadrato RC: igi.
cura rectagulum ad omnibus qua-
dtacis AG, CL, Xc. Xquale eA.
teliguae ivicuchederx rB; d0, V n
aequales sune seriei quadrarorum
Opposta seriei AG, CL, _C. _
Cerici quadracorum BY, DI, _C.
nec non illi que intra huius oppoli-
ea est: est autem de quadratum Y E
basis paralle lexipedi xqualis qua-
deaco