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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 17, page id 1047377675:0033
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=33
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.82
# 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.

B
15
e
1d
d
IE
EC
quod dciion
ex isitur CD, CFs non sune parAHIeIIX
AdUM CTAE.
Animaduereendum estnos hictantum loqui de illis cur.
sis simplicibus, quae (quo longius distant ab A) comaiorem
incercipiune rectam F. D; nam ex hac suppolitione pendee
PROP. 6. PROBLEMA.
Imenire curiam, quae ad suum axem eandem babeat rationem 
quam fcura qualibet exhibita ad rectanculum sibi inscri-
ptum,  recta data seu quasita curva axi axplicatum.
 Pctigura exhribica ABSO, rectangulum inscripeum AB
DR O; (icque cuera BS simplex seu non linuola, li aurem (IE
diuidenda est in plures simplices, se demonstracio seortim in.
Airvenda. deinde AE CUEVA AELP talis natuEK, UE, ductL re-
eta quacunq: INTnormalirecta AO, CUrVam AFL P CCCanCCII
L recta IN sic aequalis pocencia verique IL, IM: deinde du-
catur curra ALx Gcalisnarure, ue, dueta recta quicunqua
IM rectae AO perpendiculari de curram AFR ( lCCanEC
inR _ AFL P in L, rectangulum MIL Cic aequale mixci-
lineo TAFE. dico Aguram ABSO esse ad rectangulum
ABRO NECUrra A F. KO ad rectam AO. Sc in curra AFL. B
punctum ad libicum H, per quod ducacur recta IN perpen-
dicularis recta AO d lineas A F L. P3 BR, BHINS, CccanS
in L, M. N punctis; seque ucIL ad IM ica TRad IC e du-
CaCUE RC: recta KC curram A( secaF vel eangit in puncto
Ki AReri pOEeK, eam secet inK, _ ideo intra curram cadee
nempe intra punctum F verlus verticem Ai ducaeur per pun-
etum E recta DEI rectae IN parallella lineas AO AP; BR,
B5. lecans in punctis En F. Cn HI, de rectam L. C in a, icem
compleacur rectansulum IL. L. C cuius lacus LZ rectam DH
lecer inX. quonium bL. CH ad LM HEIR ad FC, exir rectan
Sulum
nnicem sec
demonstrationis vis.