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. 31

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: 0.81.

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

The machine reads it as

  1. u
  2. PrOD. 30, 39.
  3. rithmetica infinitorum.
  4. Ec inCcriptarum aggresacum: Quod tamen vera Epirali per.
  5. pecuo minus erit.
  6. Si aurem harum inseripearum prima omiecatur, ec illius vice
  7. Post alcimam subjunsatur quxe proximé erat inlccutura, (quod
  8. cantundem cAacq: pro tisura ex lectoribus inscripea, circum
  9. Peripeam (ubRicuere,) acgi tandem addatur a; habebieur exe
  10. omnibus agresata recta quae vera spirali major erit; led quae
  11. ad justam eo proxius accedet quo plures supponantur Sectores
  12. adCcribi.
  13. Ec imili Forma procedendum eric (mutacis murandis) in
  14. aliis spiralium gencribus in Scholio ProP. 45. memoratis.
  15. PROP. ZXXIR. Lemma
  16. I proxonatur series quancitarum in Triplicata
  17. ratione Arichmetice proportionalium, Esive
  18. juxta Ceriem numerorum Cubieorum,) continué
  19. crelcentium, a puncto vel oinehoatarum, (puta Vc0,
  20. 5,8, 27, 64, eC.) propolicum sit inquirere quam ha-
  21. beat illa rationem ad seriem coridem maxime aequa-
  22. Dium.
  23. Fiac invellixacio per modum inductionis (ur in proP. 1. &
  24. I
  25. 29.) Exicg; 7 + 1 = 3= +
  26. x2.
  27. 2
  28. 0+ 1 + 8 + 27 = 3C
  29. 27 + 27 + 27 Y27 = 10E
  30. 0t r + 8 + 27 +64 =- 100
  31. 6+ +64+6+ F 64 + 64 = 320
  32. 0 + 1 + 8 - 9
  33. 6+ 8t. 8 -24
  34. 0 + 1 + 8 + 27 F 6, Y 125 = 225
  35. 125 +, 25Y 125 F125 + 1-5 = 125 = 1750
  36. 0+ 1 + 8 + 27 + 6+ t 125 + 21b = 4a1
  37. 2167210+ 216t 2161216+ 216+216 = 1512
  38. t IC deinccps.
  39. 2a 2t 2
  40. Racio proveniens ekubiq: major quam subguodrux la, (eu 3.
  41. Excel
  42. a + 2

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 31. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0243?run=74