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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 158, page id 1815201908:0215
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=215
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

DR OGR ESSTONFS
Dicoleriem parallelepipedorum, supet cclagulis FN, FN, CO,
eec. in allicudinelinearum BL, C. F, lB, ac. xqualem elle leriet cubl.
ex, super quadratis exstructx.
Demonstratio.
O1I
Icta enim E M. FN, Xc. rectangula, sune complementa rectangulorum, quae
e. unc circa diamecrum, ergodlhoula Guamesingulis ornre lunc aequalia. Qua-
reparallelepipeda super complemeneis illis exstructa, cum caldem quoque cumcu-
b7. duodo.
fimus.
bis quadracoeum habeanc alcicudines l l. C L. ac. Pacet ungala b pacallelepipeda
Eingulis cubis aequalis este: ergo tota parallelepipedorum seriesscori leriei cubice x-
quacur: quod erar demonstrandum.
PROPOSITIO CLZVIII.
Cuper lineis quadraca, super quadraris aurem cubi. Peritur cuborum
Series inscribi pyramidi, quadracam balim habenti.
Constructio ex demonstratio.
Ata (IE progressiolinearum AB, BC, C D, ac. terminata in IE, 8
Z puncto R, per I, S, F, ducanEUF reCE RL, LS, RL, GNALMMTGIE PEIIIS RL.
S, OECUrtaNE lincis AR, A X productis in I e Z: producto deinde plano
A B, OCCUErAELINCA R F in MI, IUINSANEUEGUE P N, ZM. DicoFactum quod pereba
eu. Ducalcuc emu acers Cabotum Planis damerri A L, Bli. 6 P, D dC
PEMOISICuE Cx hypocheli maniteltum ett veriulgi leriet quacraca AL. BH, CO, deC.
A d
 uit ua pui spe t et t sp  pes te t t u e   e  u   pe u   e  t et   e    u t e t    e     t e  1      et t a p  i  p u