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LBr. 396 · Hermann, fol. 74r

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: 0.86.

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. 73v); this page is its right half.

The machine reads it as

  1. B1 = 3, BC = dx, DE = dy et BD = ds. Unde BD (ds). DE (dy):: BB (a). B1 (2=
  2. ady)
  3. asi
  4. Sed ponendo elemenea curou ds constantia, invenitur genevaliter in omni curva
  5. 22
  6. esdys
  7. dax
  8. ergo
  9. adu dido
  10. as
  11. au
  12. et addx = d hor est adx = sas vel Z aX = 55, quod
  13. indicat curvum ette Cycloidem cujus Circulus Genevator diam et rum habeat = L a
  14. Sed Si curvu AB et aB non sunt a quales sed tantum similes, lineu
  15. jungens puncta B et B ubicunque hudc acipta fuevint, moducta in
  16. idem punitu 2 lineu AZ incidet. Unde nominando AZ = a, XZ = b
  17. Aa = C, 2B = y, erit BB = Cq, DE = dX, BC = dy, B2 = as
  18. i
  19. a
  20. erit it erum BD (d5). DE (dX):: B3(
  21. .B) (CydX). Sed posita adhuc
  22. C’aass
  23. BD constante erit B) radiur orculi curva quae sitâ AB
  24. ydx is
  25. dx yddy
  26. i ergo B1=
  27. cydx
  28. ac
  29. yaxas; unde cdx- cyddy = acs
  30. dx- yddy
  31. vel (quia b + c = a, cdX- cydely (= cds + bds) = cdx + cdy + bc
  32. =cdy-cyddy = bd5, cujus integrale esC -cydy = bsc
  33. et hujus Integrale aac -cyy = bss. Hinc deduro a’qui
  34. tionem curva differentialem dx = dyvayy- aab
  35. est aquatio epicycloidis cujuidam.
  36. videtur pendere
  37. Vaab-besus
  38. quo
  39. equadi dimensione curvae Conico, vel simili
  40. Rudio Cel. Frid. Hosmunnum suam Medecinu lathedram in
  41. Academia Halensi vacantem reddidisse. Novi virum quendam in Botaniis
  42. Historia naturali et omni reliqua solidiore Medicixa eximie versatum et
  43. Mathereos non prorsus ignarum, qui non sine egregio decove Universitates
  44. illiui vacantem Profesionem exornaturus esset si ad eam vocuretur. Is
  45. est Joannes Scheucheerus Medicus Tigurinus, egregui jam speciminibus
  46. Botaniis clavus cujus honorifica fit mentio in Commentaris Acudenia
  47. Regia Paritiensis ad quam aliquas subinde millit lucubrationes perinde
  48. natu major
  49. at Frater ejus Joh. Jacobus Scheculeerus. Et junior: Scheucheris merita
  50. Illuitri Abbati Bignonio ita jam ab aliquot anr innotuerunt, ut nemo
  51. melius de viri profertibus judicare possit, qui frequentes ad yerum
  52. dat literas. Hic tundem epistolio metam figo. Vale Illustrinime Vir,
  53. et favere non desine
  54. 2
  55. Patauri 13 1a trii 1709.
  56. u Nominis Tui
  57. a
  58. Studiosinimo
  59. sac. Hermanno

Cite

LBr. 396 · Hermann, fol. 74r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 321). https://leibnizlegible.com/page/DE-611-HS-973581:0147?run=321