Leibniz Legible

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. 52

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: 0.85.

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The machine reads it as

  1. PROP. 23
  2. Bctoenim Cob commanorem calculum) Pa = P, PA -d
  3. hoc cA, 2d, 2d =a::
  4. ad =ada + a2
  5. 4u
  6. aa
  7. (idc09; PF-- 2d,) PD--a3
  8. (ideoq: DA- d = a, DF = 2d
  9. a variatis nempe honist,
  10. Dronc supponieur pon-
  11. ccum D intra vel Capra pun-
  12. etum P astumi.)
  13. BPIEIZIEUE (DEODCeE PArA-
  14. Bolam)PA. Da:: Pag. DO9.
  15. hoc ett, d. d = a: : p2 4 a
  16. DOg.
  17. Ec C propter limilia exi-
  18. angula) PF. DF: : Pa DY.
  19. 2d P =DF. hujusqi quadratum
  20. EH isicur differentia guadearorum DF9 - DO9 =
  21. a
  22. . Ad 4da +, 2
  23. +u
  24. 4dP. Oux quidem vel aliqua
  25. ettus si puncta P, D, distent, (licq. Propcerea a quancitas rea-
  26. lis;) vel ommino nulla, E coincidane puncta P, D; Cevanel
  27. cence quippe quancitare a, adcog; et ixsius mulciplicibus om
  28. nibus.) Hoc cA, Onadraca DPq, DOg. _ propcerea corum la.
  29. cera DT, DO, vel aequalia lunc. si lumatur punctum D idem
  30. aEq; P; vel illud majus est. E alibi lumatur D. EC Proptorca,
  31. cum rectae at (quancumvis verinq: productae) singula puncta
  32. iploa excepto, lime exera parabolam; ea Parabolam in unico
  33. punctoa contineir. OuoderacDemonstrandum.
  34. F.Hg; haec nostra demonstrario mulco expedicior, quam quae
  35. ab Apollonio aliisgi, (adhibico Cono, variilq; lemmaris pex-
  36. MmisIS) adducunEuT.
  37. Si vero propolicio haec non fuisset ancehac excositata, sed a
  38. nobis jam quaerenda: Iud Analytice sie fieri possit.
  39. Supponamusrem quasi jam Factam; continsentem at, dia
  40. mecro produeca occurrere in f: _ quaerenda sic lonsitudo recta
  41. 12
  42. Recineatur eadem quae prius hgura; cademqi symbola, niti
  43. quod.
  44. De Sectionibus Conicis.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 52. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0136?run=74