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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 33, page id 834940469:0117
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=117
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.90
# 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.

oulo ADHTE, sed ex praecedence angulus involurionis re-
ctanguli AC O F maior est angulo inrolurionis ADFTF, ee
proinde angulus involurionis rectilinei ACCTIMI involuri
maior elt anculo involucionis rectaneuli ADMI: eodem
prorlus modo (s ducantur rectae RB, VZ, parallele rectis
AB3 TMI, S reAX R a, VZ, parallella axi AI, ut compleacuE
rectilincum Aa RBC XV ZM 1) demonstrabicur eius angu.
lus involucionis esse maior angulo inroluciouis rectilinei
ACCTIMI, ec proinde mulco maiorerie angulo involucionis
rectanguli ADMInempe SNX, supponimus enim sectOrem
SNX ese rect on gulum ADMIinuolucum: deniq; eodem lem.
per modo demonstratur, quod, quominus diftere rectilineu
circum Ceripeum a figura ABMB, eo semper maior (c excellus
anouliinvolucionis rectilinei supra angulum sHX, ee ideo
muleo exce dicansulus involurionis iplus AguFA PNX anou-
lum SNX, e proinde Aigura eroluex axis AY Peu aECUS SX
mulcominor est arcu OZ, quod demonstrare oporruit.
PROP. I4. PROBLEMA.
Ex data Reura involura, ejusdem evolutae axem invenire.
Te figura involura L. BK, cuius eroluex oporrec invenire
a D axCM. C enErOI. sic circuli arCUS MR; SEque Agura OP78
concenea rectis porallelis OP, 87, receaque OB illas norma
liter (econce BE linea P7 calis nacurae, vc (in inuolura sumpea
qualiber recea L. C. produeca in N, icem in Aigura O P 78 du-
CTdreCtaSV rectXD 8 perpendiculari es eam secanee in ra-
tioneMH ad NI) 87 AC adSV uE L. K ad L. C. dicorecrangulu
circum (eripeum OR 78 eAC ad AGUTAM OPZ B UE AECUS MR ad
axem ABUTA L. BIE cuoluca: S nOn HF iCa, sEVE OR 78 ad OP
78 IEaMK ada, quae differat ab axC AGUrX L. BK evoluea qua;
cieare s: deinde c cenero L. circum leribantur Agura involu.
exe L. BI SimIleS AICUS circulereS AC, EG, HIK, de eidem in-
sCri-