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. 16

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: 0.87.

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

The machine reads it as

  1. AC
  2. Arithmetica Tnfinitorum.
  3. 0F 1 + a F 9+ 16+ 25, + 36 = 91
  4. PrOP. 20.
  5. 36F36F, 6t36t36+ 36 +56 = 252 = 16 = 5 + 50. Ec sic deo
  6. InCCpS.
  7. Rario proveniens est ubiqs major quam suberipla, Ceu 2.
  8. RXCCIOS ANCCI PErDEEUO dECTELCIE PFOUE HEMerUS terminO
  9. TUM AISCCUE; DUCa 3, 223283 243 30, 3 dc aucto nimi-
  10. rum Fractionis denominacore, sire consequence racionis, in lin
  11. eulis locis mumero lenario, (VEDATCE,) uE sic racionis prore
  12. alieneis excessus supra Cubrriplum, ea quam habecunicas ad lex.
  13. suptum numeri cerminorum polto, adc0q;...
  14. PROP. XX.
  15. Theorema.
  16. I provonatur series quantitatum in duplicata
  17. racione Arichimetice. proportionalium (Cve jux
  18. ca Ceriem numerorum quadraticorum) conti
  19. nue crelcentium, a puncto vel o. inchoatarum; ratio
  20. quam habet illa ad seriem cocidem maxime, aequali-
  21. um, suberiplam superabit; eritui exceltus, ea ratio
  22. quam habet unitas ad sexcuplum numeri cerminorum
  23. post on sive, quam habet radix quadratica cermint
  24. primi post 0, ad sexcuplum radieis quadraticae cermini
  25. Maxuri.
  26. Pura (Ecerminus post 0 primus ponatur n, de ulcimi lacus 1)
  27. SI l.. Vel (polico numero terminorum a, d
  28. ulcimilatereB) 12 +
  29. 64
  30. PaTCE ex PrOD. PraCCd.
  31. Com autem crescence numero terminorum, excessus ille lu
  32. praracione Cuberiplum ica continuo minuacus, uc candem quon
  33. libet altienabili minoreractac, (uE PateC;) si in intinicum pro
  34. cedatur, prorlus cranicurus eAt. AC09; .. -

Cite

Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio, fol. 16. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/824573315:0228?run=74