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Machine transcription of the Leibniz Nachlass

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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 197

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: 0.86.

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

The machine reads it as

  1. OAP. 22.
  2. Divisionis exereirium.
  3. sum eric (propter A = 3) Singulis seriebus erectis eres De
  4. des quadraricos contineri, iplalq; leries (propier B - 4)
  5. numero quatuors adcoq; pedes quadraricos omnes esse qua-
  6. Terternos, hoc cM 22 =- 3x 4. Fc similicer in aliis quibuevis
  7. Parallelosrammis rectangulis menturandis (sire quadrara sine
  8. Ere oblonea) ex ductu lonsicudinis in lacicudinen, sive (quod
  9. rantundem ralec) batis in alcicudinem (vel hujus in illam, )
  10. habetur arca.
  11. Acq; hinc colligere licet, Pedem quadraticum unum continere
  12. Diciios sive Dncias, 244. Cum enim longicudo Pedis unius BC
  13. enciarum 12; Ec propterea Pedis quadrarici cam longicudo
  14. quam lacieudo (IE X2 unc. ex ductu hujus in illam emergie area
  15. 22X 12 = 144 unciarum quadraticarum. Adeogs, UEHE DeS
  16. dincalis concineae non nili 12 uncias lincales; pes camen qua-
  17. dracicus continet uneias quadraticas 144. Eodem modo cum
  18. apudnos communis Virea mensoria officinarum (a Tard dicta) con-
  19. dineat loncitudine pedestres; eadem mensura guadrotica continebit pedes
  20. QuadratiCos 9 =- 3X3.
  21. Hac h per Cymbola libeae explio
  22. care; pro lacicudine seu alcicudine
  23. ponatur A, Pro lonsicudine scu ba-
  24. HB; eric isitur Arca scu maxnitu.
  25. do AB, sVCA X B. Er∞OHA =3,
  26. _B - 4, eric A B = 3X 4 = +2. In gnadraris autem, ubE
  27. longiendo lacicudini est aequalis, eric AB = A A = A9. a-
  28. deog, cum lonsicudo pedisunius sc 12 unciarum; _ Propce.
  29. rea pedis quadracici cam balis quam alcitudo 12 unc: id eoq3
  30. A = P = +ZTI
  31. B = P = 1ZII
  32. AB =PP = P9 = + 4 4UI = 2 4 4 II9.
  33. AB = PP = P9 = 12HXL 2H = + 44 UIHI = 1 44II9.
  34. HOc eH, P9 = 144UI9, vel unus
  35. Pes quadracicus aequalis 144 TIn-
  36. ciis quadraticis. Lc eodem modo-
  37. in Virea quadratica, cum tam ba-
  38. so quam alciendo sic pedum 3, erie
  39. area V 9 -9 P9. EC similiter alibio
  40. 161)
  41. ed
  42. bul

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 197. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0243?run=74