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Machine transcription of the Leibniz Nachlass

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Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica, fol. 82

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: 0.93.

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The machine reads it as

  1. 82
  2. ARCHIMEPRTEA DICTAMNA
  3. ncibus finitis lisillaim inter se xqualium, re-
  4. linquitur e ad tantuplicandum datur; illani
  5. hilominus non meram Capie lineam vel super-
  6. ficiem: Sed ubi dacur linea; hib. ejus specteibi-
  7. dem datur superticies, qua ese Rectangulum.
  8. quod tanta consicudinis est, quanex linea; de
  9. quod est tantae lacicudinis, quantam quaevismi-
  10. nima parcicnla in mundo hiabet consitudinem.
  11. EC ubi superticies, inceltise rectangula, obfon-
  12. 3a, aut eo reducta, datur ita producenda; ibe
  13. ducur nobis Polidum Rectansulum, quod tanta
  14. Consicudirris se latiendinis habetur, quantae da-
  15. ea superticies; protunditacis autem tanta, quan
  16. ed quavis corporalis minima particula in murr-
  17. do obtine protunditarem
  18. 5. 10. IIa, nempe daca perpendticularis li
  19. nea, eAt series toc minimarum superticiecularum
  20. quadratarum, quoc ejusdem lonsicudo mon
  21. Atrac; quae cancuplicando super balr data cocies
  22. ctacuitur continuo, quot vices ipta basis mon-
  23. Arac luis minimis particulis, quonsque perpen-
  24. diculum ducendum est. Similiter e producen-
  25. ea superticies est series oblonga tot corpusculis
  26. seu cubulis, continue secundum eam superti
  27. eiem dispolris, ut eam eocam repleant: qua
  28. series tantuplicando toties concinve, ut stratum
  29. super Aratum, collocatur, quoad usque reltx
  30. coefticientis terminus percingit. IIo calu, lI.
  31. neari nempe, prior linea, ut Numerus, pro per
  32. pendiculo Cacuicur; et altera pro bali perpen.
  33. dicu

Cite

Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica, fol. 82. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/79876922X:0568?run=74