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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 98, page id 834940469:0182
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=182
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.88
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2d
milicudinem erian gutorum HMI, L.OM, est veHMadMIica
OL. dd OM, seu C: 2 ad HB; cumque hoc Pemper hac in omni.
buspunceis curuxe parabolicae CNserie exhuius 2 recrangu.
lum AFKC ad segmenrum hyperbolicum AC HEG, vE RCCCA
CK ad curuam paribolicam C N; exaC aucem DE receanouli
AEKC ad Cegmencum hyperbolicum A C K C, IEa PECTA CoR
adrectam X; _ proinderecea Xae qualis est curue CNI quod
demonctrare oporruit.
Fodem nodo demonstratur recrangulum P F K EL eNe ad
Regmencum hyperbolicum BHIKC ve recta HIK ad curuam M
N. ee proinde segmencum trperbolicum AC KC est magni-
eudine e geanicace analocum cum curua CrN, quod criam
ex truius 2 eA perspicuum; cumque detur Facile eruncus in-
Ferior cylindrici reCEi supeF ACR C ex huIUS 2T, 35 d 37 da-
bicur cenerum graviearis segmenei hyperbolici A C K C7; e
ideoinnoce(cie centrum x quilibriI CUITUX CF N in ReCEA (R:
hinc quoque nocacu digna cst analosia in magnicudine 
BCollicate, quae concinsir incer curuam parabolicam. (uper.
siciem Sphaerordis lacae de superhciem genitam a rocacione
curuxe lirperbolicx circa axem luum coniugacum, quae cui.
dens est ex lola tigurarum huius 48, 50,si inspecrione.
PROP, S2, PROBLEMA.
Si curua parabolica vertatur circa rectam, eam in verrice iancen
tem inmenire circulum aequalem (upersiciei ex tali con.
versione senita
 le curua porabolica IED, cuius rertex D, rocaca cirCA
ad reccam BD eam in verriceransentem, re signar (uper.
herem rocundam: oporcer huic superhciciinuenire circulu
aqualem. Sic curux paraboliea lacus reccum quadruplum
rCCIA DR, dC CIUS axIS DK. Ex PunCEOLIn axEM VK LICreCTA
perpendicularis IK, et axc crantuerto RD Ccui etIaM aQua-
IIS