Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 57, 1 · Bernoulli, Joh., fol. 168v

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. 169r); this page is its left half.

The machine reads it as

  1. Solutio.
  2. A dato puncto A ducatur recta infinita AP CZ hori-
  3. Zonti parallela et super eadem recta describatur tun Cyclois
  4. 5
  5. quaecunque A25 rectae AB (duitae et si opus est productae
  6. occurrens in puncto Q tum Cyclois alia ABC cujus basis et alti-
  7. fudo sit ad prioris basen et altitudinem respeltive ut AB ad
  8. AQ. Et haec Cyclois novissima transibit per punctum a et erit
  9. Curva illa linea in qua grave a puncto A ad punctum B vi gravi-
  10. tatis suae cilissime perveniet. QC3.
  11. Trobl. I.
  12. Lroblema alterum, si neclé intellexi, (nam quae in Actis Lips.
  13. ab Auclore citantur ad id spectantia nondum vidi sic proponi potest.
  14. Luaeritur Curva KJL ea lege ut si recta PK L a dato quodan
  15. puncto P, ceu solo utcunque ducatur, et eiden curvae in punctis
  16. duobus k et Loccurrat, potestates duorum ejus segmentorum Pk
  17. et AL a dato illo puncto
  18. ad occursus illos duitorum, si sint
  19. eque altre sid est vel quadrata
  20. vel cubi vel qua=drato qua-
  21. drata etc:) datam summam
  22. Rg.So
  23. S (cub.
  24. L9 vel Kcub. 1
  25. etc: (in omni rccla illius positione) conficiant.
  26. solutio
  27. Ter datum quodvis punctun A ducatur recta quaevis infinita po-
  28. sitione data ADB necla mobili KL occurrens in D, et nomi-
  29. pentur ADX et PK vel PLy. sintque L et R quantitates ex
  30. C
  31. quantitatibus quibuscunque datis et quantitate x quomedo cunque
  32. constantes et relatio inter x et y definiatur perhanc aequatio-
  33. nem VY 1
  34. EY + R = 0. Et si R sit quantitas data, rectan-
  35. gulum

Cite

LBr. 57, 1 · Bernoulli, Joh., fol. 168v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-958803:0338?run=74