# Leibniz Legible — https://leibnizlegible.com
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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 25, page id 834940469:0109
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=109
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000109.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.86
# 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.

mutandove A. F ad BG3, HOC CRUFP ad O ita F P adK MI: de.
inde uEC: I 3d ZMI, hOC CAF UE P ad Q ica Pl ad L MI, quod HC
probo, rario Cl ad ZM componitur ex rarione C IadD L. de
DZ adZ. M, _ rario FI ad L. M componitur ex ratione FI ad
HIL. (eu C Iad D Z _c FTL ad LM PcuDZ. ad ZM, ee proinde
UE EIad RM itA FI ad L M, Se permutando ut FI ad FI ITA RM
ad L.MI; Sed quoniam supponimus EI cadere inera curvam,
TEM eric minor quam LM. Sc proinde FI minor erie quam Fl
quod ect absurdum; de ideo recta DMI RON CAdCE INEFA CUF-
ram verlus verricem: cadac (C heri poMie) inera vertus ba-
sem, nempe producta in puncto V. AI CsE ad N M uc P adC
_ AO eA ad R P uc P ad B, de ideo AI es ad NM uE AO ad
RT, eE permutando AI CK ad A O UENIM adRT, e uc A Iad
TOIca EYML ad XI, BE perMUEaNdOHE A I adN MI SCU VE P ad
Oita IO adXT: deinde vE C I adZMI SCN P 2d OITA LS adX V
(quod probarur hicur in priore pasitione) de proinde ucIO
ad XT ica IS ad XV, ee permurandour IO adISIEAXI aNXV;
Led (quoniam supponimus V cadere inera curram) crit X I
maior quam XV; e proinde IO maior erie quam lS, quod elt
absurdum, non ergo cadic recta DM inera curvam, verlus Fhoz
balem, de proinde currum tansie in puncto MI, quod demon. Ius.
Arare oporruit.
Per hanc proposicionem porest curra, cuinscunqe superhciei
erunci exlindrici recti expansae in planum, comparari cum
eiuldem exe vel bale ope huius2, limodo posie ducirecta
CanGCAS Balm CylindeICI i punCtO auTO.
PROF. 10. ZHEORP M M.
TC CHDA GeCunquE AD e recta quecunque BNI: ducan-
 tur Ex duobus currae punstis quivuscunque A, I dux
rectae parallelae ad rectam BN, nempe AB, IE, dE iunGLEUF
AD rectaproducta in FI, ducancurque D Ci, A HB reCtB CUE
am rangenses in punctis A, D: deinde complcanturparalle
ha-