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. 22

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: 0.92.

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

The machine reads it as

  1. De SectIonibus Conicis.
  2. B, cranelcene rectae DB, adeog: 8 DO; 8 pro TriaCLU
  3. Lovel etiam yperbola OVO vel O AO, prodibic linea re-
  4. eta, ex una quidem parce terminata, ex reliqua vero intinica.
  5. PROP. VITI
  6. De Parabolâ, Dectione Coni factâ.
  7. Parabola, Ouadrata Ordinacim- applicata
  8. rum Cunt incercepeis Diametris proportionalia.
  9. Vuadrata nempe ordinatim- applicatarum PO
  10. DO, _EC. Tunt rectis PB, DB, _C. (in triangulo APB
  11. Parallelis) proportionalia, (ad c0q; eC interceptis Dia-
  12. metris, hoc elt, diametro.
  13. rum Termentis inter iplas
  14. ordinacim applicatase ver
  15. ticeM INECTCCPEIS, PA,
  16. LA, Ec.) aequalia quippe
  17. rectangulis BP S, BVS, _ZC.
  18. quae propter aequales l5,
  19. DS, BC. (in Parallelogram-
  20. MO APS) CunE aeque
  21. alca, _ propterea Basibus
  22. (PB, D B, _C.) ProportIO
  23. nalia.
  24. Adeogi ipsae ordinacim-
  25. applicatae lunc in Cubdupli-
  26. cata ratione Diametrorum interceptarum; nempe in
  27. Cubduplicata ratione suorum quadratorum.
  28. Si isitur ordinatim- applicatae quorlibet aequalibus
  29. ab invicem distantiis sumantur; erunt earum quadra.
  30. ta in continua progrestione arithmetica, (ut PateE
  31. ex dictis adt PrOP. 2.)
  32. Constabicisitur (Per PrOp. C.) Cemiparabola planum
  33. adeog;e tocius Parabola) ex intiniris lateribus qua-
  34. dracorum Arichmetice proportionalium.
  35. DR OP. 8.

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 22. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0106?run=74