# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068139:0042 # Permalink to this reading: https://leibnizlegible.com/page/00068139:0042?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 15 # Folio 21v, page id 00068139:0042 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068139&page=42 # Source image: https://digitale-sammlungen.gwlb.de/content/00068139/jpgs/default/00000042.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 30 lines, status machine # Lines: 30 recognised, mean confidence 0.94 # 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. unius ejusdemus horvae vores tendentes sentensiones esse ut longitudines, tunc etiam triri videtur absurdum. Nam in statuo naturali seu in quo chorda sponte sua manet nulla est tensio neque vis tendens et tamen est aliqua longitudo. An ergo erunt e vires ut logarithui rationum longitudinis violentae ad naturalem tunc enim nam ustius ad alteram cum nulla es congitudo una alteri aequalis est, seu cum eadem relicta, logardtmus unitatis scilicet (pro umitate scilicet seu ratione d aequalitatis erit unites nihil. verum nobis non licet cro arbitrio nostro sic finutae propor- tiones et si in aliquibus consentiant. on licebit ex hac incertitudine exire donec fingamus Machhinam ex multis particulis compositam, eamque secundum lenis hypotheseos nostrae seu assumta tensorum naturae tractemus c NNotandum est diversas licet proportiones tamen remreducere demum ad duplicatam ut in resistentia solidorum expertus sum sive Gabilei hypothesi sive meanbeur ponamus prisma constare ex merit quadratillis lorum plurima. b de f. in tervallis diipita educi una cum his quae post ea sunt per totum prismatis ongitudine educta ante in unum compelli