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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 736, page id 1815201908:0793
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=793
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.91
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DV CFYS PLAN
FiguraM ABF duci in seiplam, nihil aliud essequam duciin fguram DFC HOI CK
conltr. limlem _ xqualem: rectangula icem huic inscripea OFI, P I, dc. in se du-
ei mih aliud esso, quam ca duciin rectansula BFT, V B, RC. FeUOCatuT ISHUK HXC
136
proporcio ad precedencem, ex qua proinde eius habetur demonttrario.
Scholion
(N demonstratione proposirionis praecedentis in qua eriam huius praesencis propositionis proba-
iionititur, in hunc sen sum fuiratiocinarus: plana mixulinea A OT, O P SIP OR, OBO
onacum mixtilineis quae (unt ad parrem alteram C X, X V, V B (desiono binis rancum lit-
teris, quia in sigura de est licrera terira, ob y B, Z. X, exc. lineas non productas) fiunt eandem
dato plano minora. ereo solidum quod fit ex ductu planorum AOT, O P S, POR, OBC
in ficuram PB C, una cum solido quod sit ex ductu planorum mixtilineorum BV, V X, XC.
in rectangula C,R, TIS, IT, tandem fiet minus dato solido. Tianc consequentiam, quam-
uis minime arbirrer a perito Geomerra vocandam in dubium, si quis tamen olterius proba-
tam cupiat, sequentem discursum lezat.
Circumscribesicuris ABF, F. V C eor rectancula donec infinica N F., d F. simut sumpta
fiant minora dato plano.
Deinde roridem sicuris rectangula inscribe: ex persice rectangula FF, F D. Duo-
ius. niam 2 rectaneula NT, MS, LR, R C aequantur rectanculo NYF, ex rectaneula
BB, BV, V X, X C aequantur rectanculo dE, eruni omnia quoque ab viraque parte rectan-
euta simul sumpradato plano minora. erzo solidum quod fit ex ductu rectanguloru NT. NI S.
LR. P C. in rectangulum FD, unacum solidonato ex ductu rectangulorum BV, V X. XC
in rectanenta OFI, PI, OF. fiet tandem dato minus. ereo a forriori Colidum quod fit ex
ductu planorum mixrilineorum AOT, OPS, OB C insicuram F B C, unacum solido
naco ex ductu planorum mixrilineorum BV, V X, X C in rectangula dEI, PL, O F tandem
fiet daro solido minus. Duod eras probandum.
d