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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 434, page id 1815201908:0491
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=491
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 64 lines, status machine
# Lines: 64 recognised, mean confidence 0.79
# 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.

D A D A B, O. L. A.
e ExracIOe, CB., HOC est. B D, aet D C. Isitur ex quiiplicataratione C, B adD C.
d
il  d fp.
ROP
IE ad AB C parabolae diametrum A B ordinatm polica C D, deleri
ibacuraurem per A e C i paratiola A L. L HaVens verricem in A _
AD, Con une AC potaneut ad AB, ordinacim linea
434
ls it.
l Eatt EL B3 et113
AeB lscAI
CEZV
irot 35i+C
Duod tuicdemontrandum ansss oi vie
B C, E F: 30IB  ASEIBIMO MLDHI 
L.13XB
10
() C3
il sleassr0
coniter aes
ad et t.
Cacam haBCE FAEIOBCHI C: F ad G F, id est. A F 30
AF; Sed A F ad AF, rarionem hatec duplicacam elus
quam habet BF ad BF; rectangulum igieuF G P F ad
GFF, rectangulum sexcuplicaram habeeracionem FB
0 ad FB. Quoderac demonstrandum.
A PROPOSITIO CLXVL
TIIdem postis:
F F B quincuplicatam habere rarionem eius quam haber FB ad F B.
54. huius.
Dicoet L. scccansatum esse ad rectangulum
regile
G FF in lextuplicataTationC FB ad F B.
eluvantuor a Demonstrario.
Eccanoutum OFK 2d G F F a rectanoulum eripli
Dico EFB rectangulum ad rectangulum
Demonstratio.
aet FB, e exrarione FB adt P B; racio ixirur P. F Brectansuliad Fect anBulm E. P B
quincuplicaca elt Facionis L B ad F B.
in A. cum per A e B paravola deleribatur A P B habens verricem in A, OC.
currens ABC parabolE in B. lrque ciusaxis AF: dueatur aurem KH
neas esseproportionales.
Demonstratio.
Vncta AB sCCCE FOIi.
neam in L. Ouoniam BD
aequidistac diaMCErO AP, _
TK ordinacim ad illam appli.
CaEUE, rectandulOT RIB X.
quale est quadracum L R. led
_ LKI rectansulo aequale
CAc rectanguluM CKFI, qua-
dtacum idicuc FK aequale
quoque
Btr tniu
D EAaneuluM EEB AdEFB, rectanculum racionem habeE Compolica ex L F ad
LF F, id est ex duplicaca racionis AF ad A F, id est ex quadruplicaca racionis FB
PROPOSTTIO CLXVII.
Arabolam AB C cuius axis BD, conringac in B linea B F, in qua al.
Cumpro quovis puncto E demictatur E A, Ooccurrens AB C. parabola
SCCanS AF B PAF
DicoOK, F K, HR Ii
minF, axetn BD in I.
e ete tus  es te s se pt se se tet qete a e stit  ete  us t pte est  e p te te  t    b. t s e u i ste   eu t te e     te e at A   e  e s l  t  B1I