# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068139:0004 # Permalink to this reading: https://leibnizlegible.com/page/00068139:0004?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 15 # Folio 2v, page id 00068139:0004 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068139&page=4 # Source image: https://digitale-sammlungen.gwlb.de/content/00068139/jpgs/default/00000004.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 37 lines, status machine # Lines: 37 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. Nempe sit A splatim chorda RB quae puncto R immobili manente altero protensa est usque in A. spatium praeterna turale tensionis erit AB. Jam chorda dimissa se denuo restituat. I. Ett ede Tunc plena quidem restitutio facta erit quando punctum mobile ob redibit ad locum e plena s tuum naturalem B. Eaque restitutio intelligatur fieri in tempore APQ quad repraesentetur per APN arcum quadrantis B A PN cujus radius AB vel BN. Ao si medio tempore seu durante adhuc restitutione in spatio praeter uniturali AB. punctum assumatur ut 9. atque: inde educatur ad quad eantem ad circumferentiam mobile sinus gP Tunc tempus quo chordae extemum ex A se restituit usque in Q. fore ad tempus restitutionis plenas usque in BB ut arcus AP est ad arcum quadrantis iintegrum s N, seu spatio restitutione afsoluta sive si spatia restitutione absoluta AG. AB sint ut sagi sinus versi, tempore restitu tionum erunt ut anguli ABI. AB si tempora restitutionum sint ut anguli spatia praeternaturalia restantia, seu tensiones residuae erunt ut sinus complementi Atque ita arcanum hanc progressionem sane investigatu difficillimam e latebris ernimus. Difficillimam dico, quia quae– renda est Methodo Tangentium inversa quae non est in potestate. Nen facile puto Geometricum problema proponi posse quod sit isto difficilius si communes methodos spectemus.