# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067970:0111 # Permalink to this reading: https://leibnizlegible.com/page/00067970:0111?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11 # Folio 56r, page id 00067970:0111 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 55v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=111 # Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000111.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 56 lines, status machine # Lines: 56 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. punctum quid in Circulis duobus positione datis ergo ipsum positione datur. sed necesse est circulos se secare, id est meu cum Triangulo duo latera sint tertio majora, necesse est ut duplum cius sit majus dimidia basi. Eodem modo res demonstratur generaliter, si quaeratur scertium constrmendum sit Tuangulum extribus dalis rectis, id fieri po po quaeum cuna si placet t sit positione data, ad ficri posse, modo duae quaelibet simul sunt tertia majores. Quod ex eo potet quia duo recta est minima hinc sam e inter duo puncta. dam Et quoniam autem trongula sunt possibilia eo casu, qui possibile est enim Rrecta semper autem generalis erit demon- stratio quod peripheriae sibi occurrent, quia erit partim intra peripheriam abterius periphieria unius partim erit intra peripheriam alterius, partim extra Lae problema. Lineam ratam ducere adato puncto ad aliud punctum datum sit corpus, aliquod per duo data p Postulatum unicum ejusdem continui alia puncta quiescere rigidi Duobus ejusdem corporis continuipunctis omnes ejus partes moveri possunt. totum corpus moveri potest quiescentibus reliqua moveri possunt Nam uno tantum corpotis r puncto quiescente, partes ejus omnes moveri note possunt, variis modis; itaque spatium quod motu illo designatur non est determinatum. nihil a itaque ad huc aliud quicquam poni potest, nihil autem simplicius quam unum adhuc punctum immotum, itaque duobus corporis alicujus quiescetis punctis immotis omnes ejus partes moneri possunt. corpus tot ipsum moveri potest. Lineam rectum ducere a ran sinte in corpores rigida duo puncta moto duo puncta immata quiescentra sit aliud corpus linus haic applicentur his applicentur duo alterius puncta incamveso talers coders hignet monti