# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0340 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0340?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 167v, page id 00068193:0340 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=340 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000340.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 recognised, mean confidence 0.81 # 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. W. De Causà et Effectu activis. tangente curvae. D Ponatur (Fig. 14.) regula rectiliner mobilis AB proce dere per rectam immotam AA, angulo eodem ser vato, (si pla cet) recto; et interea in regula moveatur punctum C; pote rit ex esse proportio velocitatum, ut punctum C describat cur vam quam cunqi CC. Patet autem punctum C. pergere ex il C velocitate et directione composita ex ipsis 1CD eD 2C, adeoque 2 . directione IC2C, quae minus errore quovis assignabili diffent a curvae tangente, si intervallum 1AZ A assumatur, quantum satis est, paroum; itaqi directio est in curvae tangente, est, m ea moveri conatur; et revera movebitur, si a regulà̂ au - alio coercente liberetun. Crop. 27. Def. A. .. 1 Luicquid movetur m linea circulari, recedere conatur a ca s. fro circuli, et vis recedendi CONAFVS CENSRIFVGVS appe latur. e sit (fig. 15.7 sl seripto circa cntrum C. Cum conetur ex 2. A perigere in tan- gente 2+5, (per praeccd.) tangens autem 2A F recedat a centri C, utique et mobile A a centro C recedere conabitur. Idem eto, si motus sit compositus ex circulari et alio. Prop. 28. Def. 5. Continuato per aliquod tempus conatu centrifugo con poris; oritur in eo celeritas recedendi a centro; et conatus centrifugus est ad celeritatem continuato recedendi conatu co ceptam; ut finitum ad infinitum. VIM autom quae est hoc modo ad celeritatem seu quae est infinities minor celeritate, eam voco MoRJVAM; at vim celeritatim habentis aut cur hac comparabilem appello VIVAM. 5 tubi seced acqt um tris ac cen. infi Mf1 gra fuit vn 140 nio ta an r29 qua m s Vis re us ims 51