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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 445, page id 1815201908:0502
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=502
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.80
# 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.

na
B
MM.
co
CnS
t
a
1
im
1-
i
P A R A BO L A.
PR OPOSTTIO CXCI.
IIdem potiris: (i A BC, D F. F parabolx eandem habuerine alcirudinem
Dico NOM rectangulum esse d rectangulum PO O, ve BR quadi2-
cum ae Gual ILL.
Demonstratio.
F lineaRF ad lincaur OT, SC BR a quadrarum ad reclangulum N OM; et a ibid.
e RI ad OT, sic R L. quadracum ad rectangulum, OOP; iritur ic BR qua-
dracum ad NOM rectatoulum sic quadratum R R ad rectangulum POO, et
permucando ve quadracum B R ad quadrAEUM R P, sic N OM rectangulum ad
Corollarium.
Incpater etiam rectan sau AK C. cNC ad rectanguluM D RF3 VE BR quaL
PR OPOSIFIO CXCH.
Sto ABC parabola dris A D ductaque ordittalim C D, sumatur in
axc quaenis recta lL _ per P describatur parabora cuius axis HE
F A, secans parabolam AB C in B, ee CD lincam in G. FaCtaG; AH X
quali D E; ducancur L ordinarim ad AP in parabola F. CB, _ BF
e communem contingenrem BF.
rectangulum OOP. Ouod fuie demonstrandum.
dracum ad quadracum R Li
ordinacim ad ABC.
DicoC. D quadratum esse ad quadracuim
TKS VE F F linca ad F A. 1
1
demonstratio.
E ABC paraboia lacus rectum F, e parabo-
DIxF GB latus rectum M. quadracum CD e
quale est rectansulo D A L, ec quadratum IR
requale rectangulo A L. M, eAt aurem AD linca
aequalis R H, quia AR, L D aequaleS PONUneuTS
quadeacum ioiur C D est ad IK quadeatum; ve
L ad M. Rurtum quid Gadraco B E eam est X-
qualerectangulum si A L quam E R MI: rectan-
sula quoque F A L, P F M aequalia Cunc. igicue
DE AF 2d E E, HC M ad L. sCd vE M ad L, RC
LK quadedtum elt 20. C D quadratum, igIEUE vE
AF dd F B, Sc IK quadracum est ad quadra-
cuta C2lidoi
lA caVEEU
15331 20L9V11 D
prorott oneito
ABC parabOl aXIS AD AGUAHS LALCIT LELIO CCHETOGBE A MIECI
uallo quonis, circulus descrivacur cuens Barabola in B, C;axiin B,
Ponacurque ad axem ordinarim BL.
E Hl 3
DicODF, AL, A F lineas concinué esse proporrionales.
Demon-