Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 4

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.

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The machine reads it as

  1. CUrVARSTV ATCuISK2, Y S. sescomprehentum. Deinde
  2. Aac uc 93 ad5] ita Z alcicudo cylindrici ad 3 N; idem RerI
  3. supponimus in omnibus aliis rectis spatiiRV S2 recte 28 per
  4. pendicularibus, uc compleatur spnrium PHI SE comprehen
  5. Cum a curra PII _ rectis HS, P 23 28: hoc est inrelligo duo
  6. mixcilinea esse delcripea quorum primihaec es proprietos,
  7. ue ex eius currae puncto quocunque Sin rectam 26 demilla
  8. perpendicularis 53 sic aequalis perpendiculari ad curvam 79
  9. CD in puncto cransitus g nempe 96. secundi vero haec HE
  10. Propriecas, ve ex eius curree puncto quocunque Nin rectam
  11. 26 demissa perpedicularis NZ sc ad alcicudinem cxlindrici
  12. X. re eius pars incercepca in primo mixtilineos; ad eius
  13. partem incercepeam a curra daca 93. dico mixcilincum se-
  14. cundum PFISE esse aequale superficiei cylindricirecti, cuius
  15. Basis CA curra daca7oCD, e alticudo recta X. Si mixcili-
  16. neum PH SE non est aequale superhiciei cylindrici praedictis
  17. inter illas erie aliqua differentias quae sic a planum: applice-
  18. cur a planum ad rectam X, sicque lacicudo inde oriens B. du.
  19. CaCuE ex punCtO7 recta7 A curram 7 D eangens in puato7:
  20. e Cx puncto D ducatur recta D_ curram cansens in pun-
  21. eto D. Acque recteD parallella7 v, e ex punctis 7. D, in
  22. rectam 26 demitrantur perpendiculare5 7 23 SD; dividatur-
  23. que recta 2 din EOT ParTES ae QualeSS UEAb CXETCMIEATE CA-
  24. rum primae crecta perpendiculari 3 A, excessus tangentis
  25. abicissae A supra parallellam ablcisam 7 r sic minor recta
  26. Bhoc enim lemper heri posse manifectum CA, s FanSenS
  27. Anon scperpendicularis recte 2s, nec curra daca sinuota.
  28. a dinitionum punctis 2, 3, 4, 8 exciceneur perpendiculares
  29. 2P, 3N, 4L3 SII, curram datam secantes in punctis 7, 97
  30. C. D; Curram prima invencam secontes in punctis R, S, T, V.
  31. e secundam in punctis P, H. LHI; deinde curram daEam CAN=
  32. Sences in punctis 7. 9, C, D ducantur rectae 7A, 9B, C F, D3
  33. aproximis perpendicularibuscerminoca, (ncque recta 783
  34. 90, CF, D5, YV, HIK, L. C, HII, LM, NO ipsis parcibus aequali.
  35. b

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 4. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0020?run=74