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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 989, page id 1815201908:1046
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1046
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.84
# 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.

A CrL C LLLA DRIC
Corollarium.
Nod splano ad axem cytindri parallelo; ex lascunce per lineam O L diametre
Lrccca abscista Ac pars superticici exlindricae, qua insula cingic OP N AO A,
_e arcui CF A subcendaneur aequales rectx quocclinque, secundum quasplan2 in-
Peribancur rrgularis superticiei cxlindrice legmenro: eodem aeurtu, quo iam vu
lumus, demonstrabimns per precedencem omnia plana inseripea limul Cumpea xequa-
ri rectangulo quod continetur rectis AP. _ CD, Lubren a L C. Gu
una cum arcu AD cemplec semicireulum.
eROPOSIFIO XEL
Aca Sevnoula A PB, a eslindro recto accunata, cuius D F alcirudosic
equalis diametro A B, e costicuaneur larer a cuunque polrgonis
circurum ambiencia, scilicer BP, IFTC, GDN; liC M pIII BL CaliSaC
excicthicarem diamerri AB ee reliqua in contactu bilecentur, de pertral
lacera, plana constituaneit axi parallela rngulam cangentia secundum re-
etas IIT, DF, qua procucane communes sectiones cum balirngulari
elliprica rectas BR, R O, PO: secene vero lele muruo sccundum rectas
IR, C9: Facta aurem ND aequali ipsi FP iunsatuV NP, ducarur de-
dempro tansulo BIK, aequari rectan.
sulo, quod tc sublineis AB, BO.
mum NO notalis ad A B.
Dicoomnia plana igulam ambiencia.
Somonptalio.
E X pUNCEISFF _t G, duCANEuF GL, FK S Od
Thogonalicer adt AB: _ ponacurperT paral-
lela occuerens recris C+ O3LKI _ X. 10-
sunc rectae; rectangulum isitur elt (i XL, X
Bln aqualia lunc. Simili planc ane Oucuctans prantu LL agua etan.
sulo sib AB. L.O; Plana isicur rngulam ambientia simul. Plimpea, dempeo crian-
Sulo BR Laquancur rectansulo AB O. Ogod erar demonctrandum.
+
eocle
37. huiue
niam ex hypocheli, cxlindrus, a quo abscissa cAt
ongula, reccus est, parec T TTreccam eAeplano
baleos AD B. erso per definic. z. vndecimi YF)
normalis ett dd L. adcot XY (, XL, ad C1
quale ei, quod sub TFL; G L CONFIHCEF. ACL
qui rectangulum CV XL aequalo est plano
EORI. cum enim TC bilcceturin FI, ex COH,  C.
struct. etiam XV, B D bilectae crunc, 9deoqua
criansula BTX, V TC aequalia; siisitur com-
muni erapezio IBFV C addantur crianoula
YT O, B TX, eruncplanum TR OC, Xr-
ctangulum IX V Caqualia; crgo d recrangulu
TH, CIplano 6O RI aequale est. Doinde in
Peaecedenci demonacum csrcctam TFL du-
plam CACTCCEX HTK. Cum isicur elusdem du-
10 LHC. hoc ett, reium oltendi plano CORI. Aequi recrangulum SHICI
pla (IC FIS, Pares erunc TII, LIS. Recrangulum isITUE SFTGF EqUaEuF RCCEanSU-
aequacur reccangulo sub AB, B P. planum igicur (O R I e receangutum sub AB,