# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067976:0002 # Permalink to this reading: https://leibnizlegible.com/page/00067976:0002?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14 # Folio 1v, page id 00067976:0002 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067976&page=2 # Source image: https://digitale-sammlungen.gwlb.de/content/00067976/jpgs/default/00000002.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 39 lines, status machine # Lines: 39 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. add. 5. 46 ex punctis quae vocantur X) Tam omne X est 1 (quia X est in yC ergu A est y. Ergo A est in y. Jam cum X sit in y ex hypothesi e omne X erit y (per 8) ego Ergo (per Logicam communem) etiam A erit y. Ergo (per 5) A erit in y (16) determinatus est situs quod erat demonstrandum. Posset ita enuntiari haec propositio, continens quod duo puncta simul puncta contenti est continens continentis est continens contenti. Si sumto quocunque X sumi potest aliquod y respondens, si X et y sint similia Punctum spalii est immobile punctum corporis est mobile. Omne punctum corporis alicui puncto spatii coincidit congrua sunt s et y qua non nisi respectu ad aliquid aliud discerni possunt transformatio est inter se, qui punctorum c et d tunc eadem puncta corporis rigidi et tunc corporis rigidi puncta l et m, quae possunt applicari ipsis a et b. poterunt etiam applicari ipsis c et d. Et contra, si hoc fieri potest, idem erit situs punctorum. A est in X. possunt applicari punctis a et b, illud illi utique A est X. (se punctum A est aliquod istud isti, poternt vicissim so ne Hoc ita demonstratur per arilic. 5) 12) si idem est situs punctorum a et b 13 (1) Si A erit in X et X in y erit A in Y 65) Si corporis rigidi puncta et m e sex Logica communi)