Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 40r

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: 0.91.

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. 39v); this page is its right half.

The machine reads it as

  1. Brevitatis causa arcum Eiß appechemus a, et
  2. 11,β sinum complementi ejus appellemus R et
  3. 2 Sinum ejus appellemus BB
  4. fer
  5. et quadrantis arcum 9. fret: 101) ordinata spralis
  6. aequ.
  7. Xa
  8. similia est
  9. Ob eadem hiangula
  10. (10 aequ C ( a seu (16 aequ. Ba
  11. eut sit Radius Y, erit Aio aequ
  12. Y- Ba. Jum
  13. datis Aiv. et 1viV dabitur et A, V. nam
  14. AIV est aequ. VA10 ( + iv1Y (2.
  15. ergo A1V aequ. K a + r9 - 2YBa unde patet
  16. p
  17. posito A.V aequ. 0. vel a aequ. 0. firi evanescere g. seu
  18. fieri aequationem identicam. Quod praevideram
  19. Sed et jam video nisi esae. curvae determnatio
  20. ab initio tatem aequationem ferat, qualem
  21. posturamus omnem inquisitionem in an curva videri
  22. inutilem quod ita ostendo: ponantur verbi gratiae
  23. ex punctis curvae V verbigratia ex 5) demetti pergien
  24. diculares in aliaquam langentem curvae 1)a. et
  25. investrgari valorem perpendicuraris generalem, eumque
  26. cenique poni in ipso puncto 1s nihilo aequarem, quid
  27. C
  28. aline inde prodibit quam quod initio posuccamus nempe
  29. cura aequastio ad curvam vel quae ex illa pendet ad ejus
  30. tangentem seu aequatio curvae mutata in differentialem;
  31. alitus nihil inde novi habebitur qoq locabimur
  32. quicquam Cum ergo versimile sit carvas
  33. Co Trodoidum quadlatricum aliasque
  34. pocralium
  35. tractatas sionbu nihil tale vid
  36. suae aequationis. praebere alioqui statum in hiumod
  37. ad genus jam
  38. tissent qui has curvas tractavere.
  39. ideo superest sut videamus fabricare liceat
  40. curvas et adeas aequationes quae instituto nostro
  41. satisfaciant.
  42. in specimen aequationis
  43. denerallis supra positam
  44. samanies brevem

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 40r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0079?run=73