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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 3
# Folio 23v, page id 00067962:0046
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 17r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.97
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

junctum quodvis in recta est sui ad
duo in recta puncta itus unicum. Nam
inc emni linea quae non in se Nam si aliad
Cum enim recta sit locus omnium punctorum
sui ad duo puncta situs unicorum; iique locus
contunbe et intermnate produci possit
cum ut suo loco ostendetur, pars et similis
toti, patet nullum esse locum alteri alicui
puncto. Hoc sirgulare est ratiocinandi genus
Recta rectam non nisi in uno puncto
secare potest. Sedt enim Recta AB
rectam AC in punctis A et D, cum
ergo recta ABD sit locus unicorum
ad puncta A, et D; et similiter recta ACD
coincident rectae ABd et ACd
planum est locus unicorum ad
tria data puncta sint puncta ABC
et rectae AB, AC, omne punctum unicum
ad tria puncta in plano, cadit nempe ipsa
A, B, C, cadit in planum. Sed praeterea
omne punctum pani est unicum ad Ria
non sint
pu illa puncta, quae non dannt esse in
eadem recta. Nam Aato situ ipsius D ad A et C,
non nisi duo puncta satis facere possunt D et S
qui per priora. Sed tertium B, si non sit in recta
per A C, non se habet eodem modo ad D et d.
Ergo sita ad ipsumd determinatur utra Dpra
D prae S. Tria ergo puncta non in directi
jacientia sufficiunt ad determinationem cujusque
puncti in plano
Hinc dats tribus punctis non
in directum
concurrentibus
ectit eterminatur panum in quo
Hhinc et duo plana non possunt habere
nisi rectam communem, seu quod deter
minatur ex duobus punctis, nam si
nova determinatio accederet, coinci
derent pl. anc
=ut supra est ostensum
puncti ad punctum situs