Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 43r

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: 0.90.

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. 44v); this page is its right half.

The machine reads it as

  1. ess
  2. Tentamead dimers. arcus particularis
  3. e
  4. sileda senta
  5. soleda F
  6. bi
  7. a
  8. ejusque resumantur literae
  9. 10 Martis
  10. 1659
  11. u
  12. ADR quadrantis cujus centrum Q. AD arcus
  13. quadranteminor ZB sinus complementi. AT tangens arcuD.
  14. e2 secans ejusdem. Sit curva coco erc. ehibens
  15. euius ordinatie Bco exhibeant rationes secantium
  16. ad arcus seu ipsarum QT ad arcus AD, patet
  17. primum arcum (incipiendo ab A seu ponendo
  18. incidereni A. sine AD esse infinite parvam,
  19. secans vero ei respondens erit ZA. est ergo ratio
  20. sicantis ad arcum hoc casu infinita repraesentanda
  21. per Asymptoton ATW. similiter ultimus prcus
  22. ADR est quantitus finita, at secans ultimus
  23. est quantitas infinita. Ergo ratio secantis ad
  24. prcum in hoc ultimo casu etiam infinita est, quare
  25. re praesentabitur per asumptoton aliam ghL.
  26. Curva autem coco inter has duas asymplitos
  27. describitur, unde patet ab utraque parte verticis
  28. 2 jub quam patet primum accedere a partibus
  29. W, versus re ac ubi s AG, et ubi satis accessit
  30. seu ad minimum ab ea distantiam pervenit, quod
  31. ponamus fieri in vertice 2c, eersus ab ea
  32. discedere. Quaeritur punctum seu vertex 2c0,
  33. vel potius quaeritur
  34. punctum ei in axe
  35. respondens 2b. e
  36. omnium Beo minima rit
  37. tangens per tam ducta per 2eo ipsi axi AQ.
  38. a
  39. Si 2 Beco est urvae
  40. parallela. Primum ergo quaeratur
  41. curvae Wo co tangens, ad
  42. sit

Cite

Leibniz-Handschriften zur Mathematik LH 35, 7, 1, fol. 43r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068073:0085?run=73