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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 157, page id 1815201908:0214
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.77
# 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.

2n
InE a
prine
rTam
B,
p.
Para
e
baralle
ata
net
pun
1n1.
EEOM F FRLC, A.
Corollarium.
anes Tuerine propolux binae. velplures clborum proprectiones, clairaltem
ingulis cuborum prosrestionibus aequalia paralle lepipeda conttiruaneur.
LL0C031L 10  L. 2V1.
Encurca, l aquales cuborum progressiones rationum dissimi-
cum dissimilium, cognolcerur carum Propolcoe il, l Perhlale plopolcionem
lium.
Dicoleriem cubicam AK, ad seriem cubieam HTR, rationem habere
compolucam, ex ratione peu quadcallAF, ad primum quadracum HIO;
ee ratione sericirationis AB primxe, ad quarram DF, ad Periem rationis
HI, prima, ad quarcara M N.
Demonstratio.
Darallelexipedum Factum super quadrato AB, in alcicudine linex seriei raclonis
AB ad DF, per praecedenrem Tericicubicae AR, cricaequale: Amilicer paral.
lelexipedum super quadraco FI J, in alcicudine linex serici rationis HF ad MNT, se
nei cubicae FTR aequale est. Ouare cuim serios cubicx ponaneur aequales, dicta quo - 2 3g. toindo
que paralle lepipeda aequalia erunc; ergo reciprocam habene balium ex aaleicudinum cimi.
ationem, hoc esthabenc rarionem compositam ex racionibus balium e alcirudinu:
Ouare _ series cuBrCE AR _ HIR illis sequales, rationem habene conipositam ex
actse dictarum alcicudinum, hoc eA exratione serici AB, D F, exc. ad leriem III.
AN, ec. ec exrarione balium; hoc est ex ratione quadrati AF. ad quadrarum HIO.
eod erat demonctrandu.
eROPOSITTO CLXVII.
Aca Cic quadralotum progressio, balibus in directum polieis; quae
cerminum lonsiuduris habeat IE. de iuxea, 1zi. huius inscripea sic
criangulo AH; compleco aucem rectangulo A. M, producanturlacera
quadratorum in N, O, P, _c. e in H, l. L. NC.
etCB
etin