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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 714, page id 1815201908:0771
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=771
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine
# Lines: 23 recognised, mean confidence 0.86
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714
DVCTYS PL A N B
Demonstraiio.
in superhciem LF. I pHaicen prociuen, Catus Banscriangulum cA AB C, d 2l.
634. onde ticudo P. FI. Sc do pyramides illae xequales sune, cum bases habeane reciproce alcicu-
dinibus proporrionales; est enim basis A BC ad balIm FGFT, ve AB ad FC, id
est D C ad F FI, alcicudo ad alcicudinem reciproce; planum igieur AD C ductum
inplanum FC FI, aequalem proteremolem illi, qux producitur ex ductu plani
ABC in planUM P P H. Ouod erac demonstrandum.
PROFOS111O AII
Iqualuor rectangula tet etlang ula in eadem consticura alcicudine, ba-
Dico corpus orcum ex ductu prime superkiciei in quartam, x quari cor
pori orro ex ductu secundae quanciraris in terriam.
atuins. PLanum AD C duerumin planum F C H, poramidem peo ducichabentem a ba-
cimi.
simeriangularem F GHI, ee alcicudinem DC. similicer ABC quancicas, ducta
les habeane proporrionales:
Demonstratio.
Fahenla veleriangula T.R, L. NI, eandem habencia alcicudinem, bales AB, CD,
FF: C EThabeane proporcionales: dico planum I ductum in planum M. aqua
ri R plano, adteb in L. planum I ductum in Mt planum, parallelopipedum pro-
ducietrabeno a pla   CLL. Me  upetheles alca
lathu