# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067962:0035 # Permalink to this reading: https://leibnizlegible.com/page/00067962:0035?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 3 # Folio 18r, page id 00067962:0035 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067962&page=35 # Source image: https://digitale-sammlungen.gwlb.de/content/00067962/jpgs/default/00000035.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 33 lines, status machine # Lines: 33 recognised, mean confidence 0.95 # 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. l dt et A, B, vel AB, C, determinantia Quae unica sunt sui situs ad data A, B, C( ea dato situ ad A BC. determinantia sunt determinata Locus omnium ad data sui situs unicorum est determinatus ex datis Unicum punctum nihil praeterea determinat qui itaque si Y sit locus determinatosum ex A, erit Y coincidens ipsi A. Seu locus suae relationis seu punctum suae relationis unicum ad A est Hoc probatur ex eo quod quod sit punctum quodcunque B differens ab A, quod epsum A icatur sui situs unicum ad A. jungantur A et B, ut in unum continuum cadant. Uno puncto immoto A moveri cotia continuum potest. Ergo omnia loca in quae puncta in quae cadit punctum continui quod inciderat in punctum spatii B eodem modo sita ehunt ad A, non est ergo B sui ad Asitus unicum duo puncta determinant aliquid seu producunt alioqui nec tria determinarent. Nam si A et B nihil defermi aut plura. nant, nec A et C, nec B et C, nulla potent ratio reddi quomodo aliquid determinet A, B, C. Quotcunque autem puncta nihil determinare absurdum est cum situs ertum sit esse quaedam aliquando punctum sui, ad ad quaedam data situs puncta unicum. Ex. gr. si ud sra sumantur quatuor puncta non in eodem posito non pe nisi nuicum punctum repern ab i ipsis aequidistans. Sed idem propius sic conficemus. pluno