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Machine transcription of the Leibniz Nachlass

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Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 57

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: 0.87.

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The machine reads it as

  1. PR OP. 24.
  2. De Sectionibus Conicis.
  3. applicacae puncto D; adcogs recta DO ipsi ordinacim epplicacae
  4. aequalis. Sed de puncto D ordinacim- vonitur recta DO (ex
  5. constructione) ergo ordinacim applicata cAt: punctag; O
  6. propcerea Cune in ipla Parabola cuere, adeoq; O rectâ PZr2
  7. bola inscripta. Sed _ cam C acq; codem rarione iph parallelas
  8. inscripeas omnes) bilecat recta ar. F. R igitur (per det.) ax
  9. diamerer, eiq; ordlinacim. applicara r O, C ordinatim. in (CriDEX
  10. Cemissis.) Ouod erar demonstrandum.
  11. Monendum autem hic eA, quod cum (eam in AnalyEiguam
  12. in Synches) dicimus duarum rectarum DC, alceram quidem
  13. aequalem cHepC vPD, hoc ett, differencia rectarum PG, PD,
  14. fieri quidem pocest ne quandoq; De (nempe quoties rectaOO
  15. diameerum AP nOn EraN(IC) quandoq; DD (nempe ubi OO
  16. Eran(IEAP) major esse: Adlcoq; DC ~PD, nUINC Per PC PD,
  17. nune per pPdL PC, incerprecanduerit. Verimhoc calculum non
  18. omnino perturbar; quonis ca quancitas in operacionis progrelsu
  19. uadranda occurrit: quo calu, aerumris concineat, cadem qua
  20. 2d.4
  21. draca prodibune. Nempe cum sc in Analyli 24
  22. De exDOnatUE
  23. Eire-
  24. +2
  25. 2d
  26. Iu + G
  27. P = DO, (.
  28. Q p = DO (vEubI OO nOn Eran(IC AP,)
  29. 2d
  30. p = DO (nE ubi Exan(iE, ) ucrorio modo erie
  31. =+ ada p = DO9. Ex paricer concinsie in Demon-
  32. Aratione Synthecica. Quod monvisse sufticie.
  33. Possene hic alia Theoremaca mulra Cigillarim oftendi, Purn.
  34. Duodlibet Curvae Parabolicae punctum alienius Diemerri verricem
  35. esse.
  36. adeoq; In qualibet Parabola infeniios esse Verrices, aiqe Diame
  37. eros infinitas.
  38. IECM; Parabola Diametros omnes esse invicem Paralletas.
  39. EE; Duamlibet rectam (in eodem plano) cuilibet Parabolae Diame-
  40. ero parallolam, ejusdem Parabola Diametrum eriem esse; eique in uno ali-
  41. quo, e quidem unico, puncto occurrere.
  42. Tcem; Duamlibet in eodem plano rectam, per aliquod intra Parabo-
  43. lam punctum transeuntem, Dramerro non parallelami, in binis punsis Pa
  44. rabola occurrere; es alicui Dimmetre Ordinarim. Posiram esse.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 57. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0141?run=74