# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0114
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0114?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 98, page id 1047377675:0114
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=114
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000114.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.87
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

de
MilicudinEM ErIAASUIOTUM FIMI, LOM, CAVEHM ad MI ita
OL. 3d OM, seu C:A ad FIB; cumque hoc semperhac in omni.
buspunccis curux parabolicae CN; cric extruius 2 rectansu.
lum AFKC 3d segmencum hyperbolicum AC. K G, VE recEa
Ck ad curuam parabolicam C N; Crat aucem re rectangulu
AEKC ad segmentum hyperboticum AC R C, itA ReCEA G R
ad reccam X; e proinde recca Xae qualis est curue C N, quod
demontrare oportuie.
Fodem modo demonstratur recean gulum PP K H eNe ad
Fegmencum hyperbolicum BHIKC vE recCA HIK ad curuam M
N; se proinde legmencum trperbolicum ACKC elt magni-
cudine d ernicace analogum cum curua Cx N, quod eciam
ex truius 2 est perspicnum; cumque decur Facile eruneus in-
Ferior cylindricirecci suPer AC KC ex huIuS 2F, 35 e 37 d2.
bicur cenerum gravicacis scgmentihrperbolici A C. K CY; de
ideoinnocescieeenerum ae guilibrii CUrVA (E N IN RCCEA CFR:
hine quoque nocatu digna cs analogia in magnicudine dt
BC. VItare, quae concingit incer curuam parabolicam. Cuper.
Aiciem Sphaerordis laex ee superhciem genicam a FOFATIONC
curux hyperbolicae cirea axem luum coniugatum, quae cui
dens els ex lola Aigurarum huius 48, 50, SE In(pCCTIOnE.
lALOP, S2. PROBLEMA.
Si curua parabolica vertatur circa rectam, eam in verrice tangei
tem invenire cirenlum aequalem (upersiciei ex tali con-
versione genita.
IEcurum paraboliea IE D, cuius rerrex D, rocata circa
D rectam BD cam in vereice consencem, ve gisnae luper.
hciem rocundam: oporcec huic superhcieiinvenire circulit
aqualem. Sic curux p. rabolicae lacus recrum quadruplum
RCCTA DR, _E CIMS AXISDK. PX PUNCIOIIN AXCM LK BETECTA
verpendicularis l_, de axc rruntuerso AD ( cui eliam aqua
UIS