# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0347 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0347?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 171r, page id 00068193:0347 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=347 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000347.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 68 lines, status machine # Lines: 68 recognised, mean confidence 0.79 # 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. Sect. 1V. De Causa et Effertu activis. teratur. Iague reapte id assequi non licet, alioqui haberetur motus perpetuus non Physicus tantum, qualis itte est, sed et rechanicus, in quo effertus eacederet causam, quia non tantum C p causam reproduceret, sed et aliquid praeterca praestaret, id scili- cet, quod obrtacula sunt parsa, contra propositionem 3: grap. 35. Nultum ett Elastrum ten sum A tam intensum, qum possit adhuc amplius intendi quantulicunque potentia Sit (fig. 22) Elastrum tensum AB utcungi; Ajo cor- 5 s s- viva p. poris C quantulicunque velocitate quantulacurue in CB incurron- n tis impetu, adhuo amplius tendi posse. A. quale est enim hoc ad n Elastrum ponderi alicur, si quod ettet coercens. (per prop. 22.) Sed pondus quantutum cunque vinei potest ab impetu quantulo- cunisque (peri prop. 30.) u Peop. 34. Nulla chorda vel entena gravis mealio situ quam ver- ficali perfate in rectam extendi potett vi mortua; potett viva. sit (Fig. 23.) Chorda AB tenta utcunque a pondere ap- penso quantocunque; appendatur jam chorde media pondus quantumvis eaiquum P Ajo id nonnihit chordam infle- C Aere. Nam cum triangulum reitangulum EdB possit esse tale, ut cathitus dE habeat rationim datam quamumqe dc ad differentiam inter basin B et hypotenusam BE, manifci etum est posse esse talem, ut ratio ipsuis DE ad hanc diffe- C rentiam duplam sit major quano ratio ponderis C ad ponduseu lum E; est autem different ia dupla aequalis, ipsi CG as censui d ponderis C in casu chorda inflexae; et R aequalis est descen suc erpet iam sun munt A et attm sum isito am et Aet tatu centa Aum rimo tr CSu nsset e em et s eas 13. terni