# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0117 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0117?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 58r, page id 00068193:0117 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=117 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000117.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine # Lines: 53 recognised, mean confidence 0.78 # 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. t Sect. II. Cap. 1. De Mosv r DesiexAVM vel Vessigirn Morrs est locus com munis omnium et proprius solorum mobilis locorum, m quibus durante motus tempore fuit; locorum inquam con gruentium seu Ves sigroxvm MosiL Is. Loers autem PRoseirs ett, qui et alis communis non est aliis, inquam, qua nempe punitum habeant, quod in nullo sit mobilis loco. Seu Locus proprius veltigiorum seu locorum mo- biles est, qui nullum punctum continet; quod non in aliquem ex + locis mobilis eadat. Ut si (Fig. 5.) rectangulum punctum A in recta 1A2 A3A vel motum transferatur, ea 1A per 2 A in 3A, via erit recta 2 1A2A3A; vel si recta AD mobilis in recta quiescente. VX mota trantferatur, ut ex 1A1 D per 2A1D m 3A3D, vra erit recta 1A3D. Vel si recta mobilis A∞, aut etiam rectangulum AB CD intra duas rectas 1A1D, 1B1C, continuatas in plano transferatur, recta quidem ea 1A L B per 2 A 2B m 3A38, rectangulum vero ea 1A, B1 C+ D. per 2 A2B2 C2D n 343B3C5D, via recta AB, erit rectangulum 1A1B3 A3B, et via rectanguli ABCD erit rectangulum 1A1B3C3D; Vertigium vero aliquod rectae erit 2A2B; et rectanguli vertigium 2 A2B2C 2 D. Ubita men discrimen insigno observari debet, quod interdum via mobili homogenea est, intordum secus. Sic recta LA2A3 A pun- cto A, et rectangulum 1 A1B2A3B rectae AB homogeneum non est; sed recta 1A3D rectae AD, et rectangulum IAIB3C3D rectangulo ABCD homogoneam est. Nimirum generaliter (Fiig. 6.) omnis puncti F, via ett linea Ff. Linea autem via tunc. demure et superfi- cies, si puncta ejus durante motu sibi non suec edant continue; Sic M M ho- S 1C eon t est- em et d et e- nes e- Ma u nen Ho- Y