# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067974:0003 # Permalink to this reading: https://leibnizlegible.com/page/00067974:0003?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 13 # Folio 2r, page id 00067974:0003 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067974&page=3 # Source image: https://digitale-sammlungen.gwlb.de/content/00067974/jpgs/default/00000003.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 65 lines, status machine # Lines: 65 recognised, mean confidence 0.81 # 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. quia recta ubique sibi similis, hinc hc possibilis est angulus rectus utrioque se habers scilicet eidem mado inter simplicissimas Lineae Rectae notiones hanc deprehendo punctum movetur 4 V de ab Puriliter nulla alia linea dici pote puncta X et et celeritate itaque si punctum describat Lineam AB sumatur punctum C euit aequali i et quidem motu uniforndi A ut V 1 sVa Rectam A D Hoc caeterum hins sequitur rectam non in se redire peur uuuquam ledire ad A, quia non statim B, ex A tendens versus B et ni sut 1X AN eodem puncto simul egrediantur ta mobilia ut pat et simul describant AIX et AI item A(dEXA7 cum similiter se habeant quibus determinantu Re alque A i aressum ninquam seue a puncto A ad unctum Bnonohuna valper motum sibi simileuo pecocur pt pec ratio discriminis ulla adhiberi pos a s sequitur cadere in lineam Y aut vice versa. Cum enim ietel egessum initio a recedet unum punctum ab alio seu ab alterias loco, semper a se nnicem recedent, alioqui status posterio prict simitis non foret idem ostendi sic pipseet fusius ponamus X egreddens ex A plince et Y etiam egrediens ex A, alicubi rursus, ocrve e Qe primut vice concurrer in 4R et 2Y. Ponamus X egredi ex A itemque Y ex A celeritate uni formi, sed inaequal et esse celeritatem _ ipsios ad celeritateu ipsius ut A+X ad A+Y pervenicat eod D tempore X ad 4X, et Y ad erunt similia 3X et me aliquo priore momento perveniant X ad 3X et Y ad 3E 3) et 4 XA4, cum aterut utrumque similiter deferminetur, sed 3X et 4non e coincidunt ex Hypothes. nam primum chacurrere ponebantur recta viulident 4X et 4Y a 4X et 4Y ergo noc concurrent Hinc pabet etiam volam contra quam aisserebatur 2) 2X A ractetum cu