# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/834940469:0097
# Permalink to this reading: https://leibnizlegible.com/page/834940469:0097?run=74
# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 13, page id 834940469:0097
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=834940469&page=97
# Source image: https://digitale-sammlungen.gwlb.de/content/834940469/jpgs/default/00000097.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine
# Lines: 21 recognised, mean confidence 0.91
# 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.

eium, ue rulso, de Facillime demonstratue.
PROP. 4. ZHFORP M A.
lccurra quecunque OIC L Smplex de non Enuola, sy-
 Cantur dux recte recunque inter se parallellae AV, L.Er
Eui verigue senormalis recta R V. Sic mixtilineum RVYBD
ealis nacurae, uc, ducta recta CS Badlibicum parallella rectis
AD, LE, rectaSB COncenta inter rectam R Vec curvam V Y
BD hc semper aqualis rectae CMI cangenei curram in puncto
C prorracta ad rectam L.E. concipiatur super curra OIC L
(cuiunstalis est curricas, re quo longius a punstoO produci.
cur eominus distec a recta R V) superticies crlindrici recti
ecta a planoeran scunce per rectam L. E ee cylindricibalem
in angulo lemirecto secance. Dico mixrilineum R V YBD
elexquale superficiei trunci inferioris exlindrici aplanore-
secta. Si non sine aequalia, siceorum differentia n, dirida;
curque rectaR V in cocparces aequales in punctis R, S, F, V.
ve ductis rectis parallelis R D nempe SC, TS, VZ, e comple.
eis rectangulis R C, R B, S5, 5Y, I23 differencia rectilinei
Ra BX YTmixcilineo inscripei a rectilinco RDC BSVZV
eidem mixtilineo circum scripro sis minor quanritate a; ma
nitescum