Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 1 · Bernoulli, Joh., fol. 150r

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: 0.83.

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. 146v); this page is its right half.

The machine reads it as

  1. se nunc conipiamur medium non unifortter dentum sed velut per
  2. infinitas lamellar horzon laliter interjertas ditinitum, quarum inter
  3. Htilia sint repleta materia diaplaco vraritatis certa ralione ac
  4. crescentis vel decrescentis; monifertum et, radium quem ut globulum
  5. ac
  6. consideramus non eonaturum in linea verta, sed in culva quadam
  7. (notante id jam etipro Hugenis in eodem travtatur de Lummine, sed
  8. iptam curda naturat minime determinante) quae ejus sit naturae
  9. ut globulur per illat decuviens celcritate contitue auit à vel ditri-
  10. auta proratione graduum raritatis breviscituo tempore perveni
  11. at a punto ad phactem; coniat quoque cun sant refractionum
  12. in singula punitis sint respective ut raritates medum vel celeri-
  13. tates globule, culvaa habera eam proproetatem, ut sinus incli
  14. pationem sccarum ad lineam verticalea sint ubiqs en eadem ratione
  15. celeritatum. Quibus prahistis nullo negolio perspicitur, cuvam
  16. e
  17. brachyelochrinam illata iprata este, quam forharet tadius trantieus
  18. per medium cupo raritates estent in ratione velocitatum quas gra
  19. ve verficaliler daden de acquireret Pive ctitm velocilatat
  20. incrementa dependeont a natura medii magirmisve reitentis
  21. ut in radio. sideitiahatur a medio et atialio causi accele–
  22. ratio eadem tanen lege generari intelligatur, cil en geaviri cum
  23. c
  24. cutroque et ca cutva breviscimo terpore percurii supponatur, quid
  25. velut scominus altera in alterims locua subilitur posiit
  26. Sic generaliter solvere licet probema aditrum, quancunqe ita
  27. tuamus accelerationis lerem. Ed enim redurtum est ut quaeratur curva
  28. fura radii in medio secundum raritates prout libuerit variante. Eto
  29. ergo medium FG2 (Fig. l.) terminatum ab horcontale FG in qua
  30. punclum radians A, verticalis AD apis curvae data AHE cujus appli–
  31. cata Hc determinantrartates medinin altiludinibus AC, vel velo,
  32. cilatet radio sela globulo imprnclis M. radius incurvatus ipse qui qua
  33. ritur AMB. Vocentur AC, X, Ctt, CM, Y: differentialis Cc, ax;
  34. diff.nm, dy; diff. Mm, d2. condans quade ad arbierium asumta, ai
  35. Erit acceptâ Nm pro radio, masiaur auqule refractionit seu inclina
  36. Lienis curvae ad verticalem, et proinde per eu qua modo diximus ma ent
  37. ad Hc in ratione constante, id eit dy. t:: de. a, quod hanc suygerit
  38. aequationem actus taz seuaadus a
  39. eus
  40. res
  41. e
  42. el
  43. aay, qua reduita
  44. generatem dabit aguationem differentialem de tat
  45. vaan pro curva AMB
  46. s
  47. si

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 150r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0301?run=74