Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 141r

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: 0.85.

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The machine reads it as

1. e =n
2. clnt
3. ubst
4. arit
5. Specimen Calculi Analyt. pro Phorometria.
6. tantundem tractus per propositum tempus efficer et, quantum
7. nunc velocitate variata, eam novam velocitatem mediam po-
8. terimus vocare (V)
9. (30) Et sict r = e (V) + = esat V = satsdev, ubi D signifi-
10. eat quamlibet velocitatem, quam quae vio mobilis particula ha
11. bet in quovis temporis elemento, adeoque velocitates numero m
12. finities infinitas; at (V) significat velocitatem inter infinitas
13. mediam, omnibus particularum mobilis velocitatibus coexisten
14. ibus aequivalentem; et proinde continet velocitates totius mobi-
15. ls infinitas pro infinitis temporis momentis; Cenigs (V) con-
16. tnet velocitatame unicam, niter varietate infinitas V. adeoque
17. inter infinities infinitas varietates v mediam, mobili attri
18. utam, aequivatentem reliquis omnibus et in qualibet mobilis
19. parte, et im quovis temporis momento variantibus.
20. 31.) Exemplo melius res intelligetur: Sit (Fiu.
21. )recta
22. AB movenda in eodem plano circa centrum A; itaque veloeita
23. ted punctorum seu elementorum ipnus rectae Ass iul co
24. sentes sunt majores in proportione distantiarum a centro.
25. sonamus jam praeterea vertignis hujus velocitatem enescere
26. es
27. uniformiter à quiete, seu aqualibas per aequalia tempora mere-
28. Si
29. mentis; unde mobili reprresentato per AB, velocitate puncti
30. alicujus B per BC; velocitates omnes simul eaictentes mobilis
31. S
32. elementis epective applicatae, exhibebuntur (Fiu. ) per tri-
33. angulum rectangulum ABC; fiat parallelogrammum rectanm
34. pC.
35. rum EA B hucc triangulo aequale, eritque AE velocitas mobilis
36. media. Pursus sit tempus BD angulo iB recto, et pyramis
37. ectangula DABC representabit omnes velocitates infinitus
38. tr
39. infinitas cujusque puncti in unoquoque instanti, et ut rectangulum
40. ABC
41. et G
42. ut a
43. licata
44. a
45. fige
46. teut
47. rentu
48. id
49. t
50. et
51. cares
52. ide ver
53. es par
54. prot
55. tribu
56. cont
57. tim
58. enter
59. rett

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 141r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0283?run=74