Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 56 · Bernoulli, Jac., fol. 18r

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. 17v); this page is its right half.

The machine reads it as

  1. Jam sit anguli CNd vel FPG sinus 5. Sinui compl. t sumto AH = a pro radio:
  2. OG. AG:: DG. EG
  3. Vraa -xx. x:: Vaa -xx. xsaa - 1t. S:: (PG. GF):: Vaanxx. Vaa-xx.
  4. raa - xx t. a:: (PG. DF):: Vaa -xX. saa - xx.
  5. EF = EG- GF = X saa - XX - 3 VaaxX AE = AG - EG = X - X saa-Xx
  6. AE
  7. 2aa -xx
  8. EF
  9. :
  10. AP.
  11. PF
  12. raa-xx
  13. X - x saa - xX. X saa -xX -3 saa-xx:: a. = Vaa -xX; un de habet:
  14. 2aa -xx
  15. 2aa -Xx
  16. 5+X Vraa -XX - X Vaa -xX = tx, quadratisque membra, poritoque aa pro ss +, et facta
  17. divisione per s+X, ont aas + aax - x = XV2at - 3aa XX + Xt. Unde porro
  18. X4 - 25X7 - auxX + 2 aa5X + aass = 0: Quare si fiat curva AZaH huijus naturae
  19. ut si AG = X, _ Ga = s, sit X4 - 25X - aaxX + 2aas X + aass =0, ac deinde ducati
  20. quaevis za parallela ipsi AH, in ut D2 = Ga = 5, erit spatium dGr5 quadrabile,
  21. nempe = trapezio XOPN - A MXW. B. sumpta Ab = avz, erit 6y -ar
  22. =3 A6. maxima applicatarum.
  23. Solutio Problematis de Minimo Crepusculo.
  24. sit BLZ horicon; MER ejus parallatus 18.
  25. gradibus infra illum depresus; PdM aequator.
  26. EE, aR, ejus paralleli versie polum Au
  27. Itralem W; Wa. WE: _ WR. WE. circuli
  28. declinationum: Z P vel EV arcu declinatio-
  29. nis paralleli ZE: Jam si sol describens pa
  30. rallalum ZE efficiat crepusculum minimum
  31. erit mora solis in ZE bravissima, hoc e, bravior
  32. mora in dM vel CA, adeoque differentia mone
  33. tolis in parallelis contiguis ZF, aR, nulla,
  34. cumque et mora in 25 d TR differentia nulla sit, eodem quoqutem pusculo SEeaY
  35. pertransibunt, ac propterea ipri arculi SE, aF, erunt ut celentates; quibus per-
  36. curruntu, hoc e, ut raclu parallelorum 2E, aR, hoce, pp infinite parvam
  37. distantiam parallalorum, dicti arculi erunt aequales, et quia sR, ZT, qqrunt
  38. aequales, et anguli ESR, Q recti, erunt et ang. SER, FaZ = G_C = HZ C aequales, proinde
  39. (ob VES, DZH rector) ipsi GEV, dZP 4q aequales (porito =GB ee quadrantem circuli
  40. maximi, tangentem parallelum Honzonti MEA in E) quare cu de GVE, deZ sint
  41. recti

Cite

LBr. 56 · Bernoulli, Jac., fol. 18r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 148). https://leibnizlegible.com/page/DE-611-HS-958800:0035?run=148