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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 997, page id 1815201908:1054
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1054
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

TAOVLA CXLINDRLCA
Dicornoulate upelce ABCD
ad aperticiem AB F. D candem habe-
rerarionem cum recta BC ad BF. ru.Y
1
o mo Demonstratio.
isti
e
DOnaneur quoruis XB, FC nocmales ad
AD, per quas Ranelectiones axi parallel
EBC, FOHI ocCurrences planO DF A lc- 
cundum rectas RE, F P, d plano D C A sC
cundum rectas FH, FII, KC. crune
ergo omnia criangula CBR, HCF, X
quiangula incerle. Similicer omnia crian-
Suta L BK, LC, F EquIAnSGLA CrUNC. CrSO
CB, H C HIC, lunc rectIS BK, OF, GF
proporcionales: et P B, LC, PC luneiisdeim
BK, CF, C F proporcionales. ergoC B, IIC
FTC Cunc proportionales ipls F. B, IC, IC:
eroo singula plana quxe SubcendunE (UDCFA-
eies BCFTO, CHIHLC proporcionalia lune
planis lingulis, qua lubeendune superficies
BF LG GLTC. Er3OF2. Guiuei, ve planium.
Cibeendens superhciem B C. HICad planuur
Subcehdens superkciem BP, PG Hoc est veril
BC ad BP, sc omnia plana CiHiul sumpea
quae subtenduner sine inscribuneur superticiei vnoulari BCFT A ad omnia plana
limullumpea quae subcenduntur seu inscribuntur superficiei ongulari BF I A. Cum
isicur pari arsumenco pollimus ostendere apgregaca planorum verique inpertioici
ongulari juxca quam cunque mulciplicationem inseripeorum semperinoeese eandem
sernarerationem quam BC habec ad B R, planaque illa delciancrandem a supexi
Ficiebus rrigularibus quancieare quacunque dacaminori: MamFestum csipsas quo
que vrigulares superticies, candem incer se rarionem habere, quam B C haber ad BF.
Duam consequenciam secundum risorem Ccomecribum Pacile probabie Lectoe
Geometra, si achibeac cam demonstrandi Formain qua rariislocis hulus operiorsi
tumus, vel discursus ab Archimede e Fuclide Pasm rurpLcost C)  erit svoi
PROPOSTTTO DV
Msilenter Ct et. et A erirBei Et E1
nViuscunque rngulae supexficies, sive alcicudinem parem habeat dis-
Lumerro bascos sucnon; xe qualis est rectansulo, (quod diamciro b2
(005 (A F.) ex ipsius ungulae alcicudine, (BD) COntIHCTUT.
s.t3Il5. 15. 1rB OlBit: H it id sitebrmntCi A Bu
ed _2BCulierAB A ISCI BSL HBZMLCIBCEECCO. N
reaiesil acistxo rtcile
113g0) DiI ager cisitus que oyic
op  190 an NMFEst cunis
AMIEMZe (L . 28 (1 iC c+ B.
3
a it s umiha
os A3 : A CViZ  L Ca B. scWLIINAB
onin
     .    et tu e et u  ute te  p .  t   pe  e                 p pti