# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067974:0030
# Permalink to this reading: https://leibnizlegible.com/page/00067974:0030?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 13
# Folio 15v, page id 00067974:0030
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 14r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067974&page=30
# Source image: https://digitale-sammlungen.gwlb.de/content/00067974/jpgs/default/00000030.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 21 lines, status machine
# Lines: 21 recognised, mean confidence 0.96
# 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.

Quae sequuntur omnia intelligantur
esse in eodem plano
Crut in uno duorum plant segmentorum quae recta
unum
facit. itaque recta parallela per puunctum punctum
in eodem erit plano erit; quia o ad rectam est ut idm punctum
Parallela rectae datae per datum punctum
unica est. quia dato uno puncto ex sita ad quaedum
rectio punctu, et segmento plan; datur et alterum
aliud ex aliis rectae punctis ender inter se modo sitis
datis auten duobus puctis datur  recta
Hoc ita culculo exprimetur. sit
paralleli c recta diti Y. AB punctum
clatum C. et sit C. Y. ∞ X. Y erit, X altera recta priori
parallila per C
Perperdicalaris est recta ad rectam ducta
uetrenque se habens podem modo. Sit recta Y
Et in ea punctum C, et exte cui in puncto
C occurrat recta per D, secuns rectam Y, in C
in duas partes V, et V) eut eD.
DC CV et per E, d rectatit X, erit Z. C ~X (V)