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Leibniz-Handschriften zur Mathematik LH 35, 9, 2, fol. 5r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 6v); this page is its right half.

The machine reads it as

  1. De vicentrifuga (irculantis
  2. dsumamus
  3. aus pro circulo Tolygonum regulare infinitangur
  4. Tum cujus duo latera sibi proxima sint est, Ae.
  5. SiL
  6. centrum circuli, jungatur AC, eG angulum inter se facientes
  7. rectum, ut in puncto B3, bisecante ipsam eg. Compleatur
  8. rectangulum ABGD et producantur EA, GD dum sibi
  9. ocourrant inc f. Erit G3 dupla ipsius AB vel GD. Complea-
  10. tur et parallelogrum uni A XGH.
  11. Fonamur jam mobile elemento temporis aliquo perour
  12. rere latus Edt celeritate uniformi, motuque eodem continua
  13. C
  14. 17
  15. +o tentere in 8, ita ut si nitis impediret, aequali cum priore
  16. temporis elemento percursurum sit rertam AZ; sed simul acceato
  17. in A conatu ut AHmoveri versur Citidem uniformiter eodem
  18. temporis elemento; tunc utique motu composito ex AF et AH
  19. perveniet in G per purallelogrammi diagonalemitita, AGtra
  20. ctando ut est, continuabitur motus in polegono sid est in circulo)
  21. eodem plane modo, nam quia A G est aequalis ipsi Ex, patet
  22. velocitatem circulationis non mutati, omniaq redire ut ante
  23. Est Extautem incomparabiliter major A, A quam AH, ut constat
  24. Pono licet motur ateractivus vel gravitatis vel alius, revera
  25. non sit uniformis; nullus tamen enon orietur, si ex centinue
  26. cresoente furiamus scularem per infinitesimales: nempe si tempore
  27. diviso in elementa aequalia primo cujusois temporis elementuris
  28. indivisibili
  29. momento novum conatum, eumue semper aequalem, mobili ingumus
  30. fingamus, et Turante hoc elemento temporit, velocitatem ean
  31. dem durare.
  32. omparemus jam conatum centrifugum cum conabue
  33. gravitatis, a quo velocitas iculationis orta intelligi porsit
  34. 1
  35. 21

Cite

Leibniz-Handschriften zur Mathematik LH 35, 9, 2, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068126:0009?run=73