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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. 50

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: 0.91.

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The machine reads it as

  1. Arithmetica Insinitorum.
  2. Prop
  3. proporcionalium sive ut radices cubiex secundanorum; quibus
  4. in Tabella convenic rario 3 ad 5.
  5. Echujus complemencum ordinarim applicatas habebit in di-
  6. ameerorum suarum racione lubduplicarx criplicaca (quod cals
  7. aesumeneo probabicur, quo ulus Cum ad PeoD. 23.) d propie.
  8. rea planum illud erit series radicum quadracicarum cuborum
  9. sive Tercianorum; quibus assignarur in Tabella catio 2ad 50
  10. Ec paricer de aliis judicandum.
  11. SCHOLEVM.
  12. Acque hoc pacto alix adhuc Reurx curvilinex (prxecer cas
  13. quas imnuimus ad Prop. 45, d 57.) ad a quales rectilineas redu.
  14. cuncuc. Nempe omnia cujulcunque generis Paraboloidea, e eo
  15. rum complementa.
  16. PROP. LZII.. Corollarium.
  17. Tgi exinde etiam patet methodus ad aequalia Cy-
  18. lindros e prismatareducendi conoidea Pgra
  19. midoidea omnia parabolica ex Paraboloidica
  20. (non modo qualia memorantur prop. 60, ubi planorum or-
  21. dinatim- applicate procedunt juxtarationem semplicis a-
  22. licujus potestatis. Sed es) etiam quae aptantur ejusmodi
  23. Paraholoidibus (qualia memorantur prop. 6T.) quorum
  24. ordinatime. applicatae procedunt juxta rationem serrei ali-
  25. eujus porestatis composita.
  26. Exlempli seacia. Si paraboloidis ordinatim applica.
  27. ex sine in diamerrorum ratione suberiplicacx. duplicata
  28. vel Saberipliceca duplicaca) eric iAtius planum rectarum
  29. teries infinica in racione radicum cubicarum secundano-
  30. rum: e propterea Conoides rel Ppramidoides erie leries co.
  31. tidem planorum in carundem rectarum racione duplicata,
  32. ideoque radicum cubicarum OLArEaNOrUMM; _L PrOPEerea (IUXCa
  33. cabellam ProP. 59.) ad Cylindrum vel Prilma circum scripium.
  34. NC 3 ad7.
  35. Icem, Ei Paraboloidis ordinatim applicacae sine in diameero.
  36. um ratione Eulquadeuplicaca criplicata; erun plana Conoi-
  37. C
  38. C

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 50. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0262?run=74