# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0029
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0029?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 13, page id 1047377675:0029
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=29
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.77
# 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.

Da
4a
ee
1
2
la
AE
n
5
A
M
n
M
a
3
eium, ue ruleos de Facillime demonstratur.
A2. 4. ZHBOAPM A.
_le curra quecunque OIC E simplex se non hnuola, du-
 cancur dux rectae recunque inter se parallellae AV, LEr
cui rerique hcnormalis recta R V. Sic mixrilineum RVXBD
calis naeurae, ue, dueta recta C,S Bad libicum parallella rectis
AD, LS, reCtASB contenta incer rectam R V se curram V Y
BD AC semper aequalis rectae CM cansenci curram in puncto
prorractae ad rectam LE. concipiatur super curra OIC. L
Ccuinstalis eAt curricass re quo longius a punctoO produci.
cur eominus dister a recta R V) Superticies crlindrici recti
Secta a plano rranseunce per rectam L E de cxlindrici balem
in ansulo Cem Ccume. Dico mixtilineum RV XBI
Elleaquale superticici erunci interioris exlindrici a planore
ectae. Si non line aequalia, siceorum differencia a, divida
curque rectaR V in eoc partes aequales in punctis R, S, T, V)
ve duais rectis parallelis RD nempe SC, TS, VZ, e comple.
eis rectangulis R C, RB, Sd, SX, TZ, differentia rectilinei
Ra BX Y Tmincilineo inscripei a rectilineo RDCBdYZ V
eidem mincilimeo cireum scripeo HiE minor quancitare a; ma
nifescum