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. 32

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: 0.83.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. BX
  2. VR
  3. XAP
  4. De Sectionibus Conicis.
  5. SAAD
  6. VS
  7. PROP. 12.
  8. concinue proportionales. FrgO=O9-
  9. VB, V5 _BS9. hoc elt. Xcoq-
  10. B59
  11. VBRV 20co4
  12. BL VS RVAnar.
  13. =VA. Ideoq; proporcionales BSg. VB,VS::
  14. BoGne
  15. 2a9
  16. ar. VA. Ha.
  17. betur ergo recta VA, adeog; ParaBOIX VerFex A, in CrUTC VB,
  18. unde ducta AP cruri VS Parallela, eA diamecex Parabolae quae
  19. TIEX.
  20. HOc es. Si Conus ProPOsitus secetur Plano per AXem. quod Basi C. 0-
  21. ni rectum si, trianculum facienieVB5: 5 frat, ut B59 quadrarum b . sit
  22. drianculi, ad V B a V S rectaneulum subceruribus; sic
  23. 209.
  24. ra Cquadratum
  25. ordinarim applicarae in Parabola propolira, per Axem divilum.
  26. Hoc eK) Lootus rectum Perabolae propositae Axi conveniens; ad V A di-
  27. stantiam verricis Parabola a verrice Prioneui, in urovis ipsius crure
  28. mensurandam; Et denique a verrice A recta ducatur AP opposeto cruri pa-
  29. rallelas eique Planum erigatur plano trianeuli VBS rectum: Planum Boc
  30. in superficie Coni facier Parabolam. CHi P arabOla PrOPASETA CVHCRHBI.
  31. Demonstracio, per repetica Analyleos restigia tacile incti-
  32. euecur.
  33. Pari fere methodo demonstrari pocerie, Datam E lipsin vet
  34. Typerbolam (de quibus postea dicendum exit ) non quidem Cono
  35. cuiliber, sed salrem Conis quorlibet specie differentibus, oprari posse. Cu-
  36. jus Provolicionis _e Demonstracionem _e Dererminationem lu-
  37. bens praecereo, partim ne caediolim, nec velim erronibus inge-
  38. nium luum exercendi caulam praeripere, parcim criam quuniam
  39. illud intticuco nottro non eA necestarium.
  40. er. atit
  41. De Flips, sectione Coni facta.
  42. N elixu Ouadrata ordinatim opplicatarum
  43. qualia Cunr differentiis binorum rectargulorum s
  44. quorum quidem illa (majora) lunt interCeptis-
  45. IdmetrI

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 32. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0116?run=74