Leibniz Legible

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. 44

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: 0.85.

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The machine reads it as

  1. DEDICATIO.
  2. perducemus. Nempe AP = d. A a = d Fe 9 (nam a CU
  3. Perins inquirimus;) adeoque - A a = - d - B + g. PaC=
  4. erzo, proprer analogiam indicatam, d. md = B + g:: p.
  5. nd B+ 4.
  6. P2 = ABC.
  7. Sed eR etIAnI FP. Pa: : B A: AB. hoc eA, (ut ibidem
  8. 3d un a
  9. Ostendicur,) 3d. p: : 3 d 9. 3d P = AB. (abi AB cA
  10. quancitas negacira, sicucipta 3d = 4, quippe q major eAt,
  11. hoc calu, quam 3 d. D ejulqi cubus
  12. ap2 = ABC -
  13. d = B+ 9
  14. 27d = 27d 9+ 9d9 q
  15. 27 d2
  16. Adeoque (Eacta reductione) 27d 27 d29 +9dg2
  17. = 27d 27 d = 8F 27 d= g. HOC cA, 9 9dq= +
  18. 54d = 9 = + 27 d 8+ 54d. Oux, lubsticuendor + 3 d = 4o
  19. reducicur ad aequarionem HanC r. + 27 d2 5 = 27 d2 8
  20. 5+d2. Nam
  21. r2 +9dr = + 27 d27 + 27 d
  22. 9dr = 54 d=Y 81 d = - 9 dq2
  23. +54 d= r + 162 d = + 54 d 9.
  24. 3 + 27 d =r + 108d = 27 d 8+ 54d
  25. Et r3 + 27 d = 1 = 27 a 6 34l.
  26. AB continuatione Tursum alera verticem A, (naM, UIE nUNC
  27. ordinacim. applicata negacira, nom pe sinittrorlum, applicacur
  28. diameero astirmatirae, puca deorlum: ica, calu ilto, ordinatim-
  29. applicata affirmatira, hoc est dexerorlum, applicabitur diame-
  30. cronesacira, puca Curlum, applicabicur enim supra verricem
  31. A: adeoque utrobique mucanda crune diameeri Aa Ggna
  32. uc analosia rice insticuacur:) cum hoc unico dicerimine, quod
  33. Chmillic h =8 = 2d = AC sic quancitas aftirmacira (de-
  34. orlum lumenda:) adeoque aequationis quancicas abloluta, aF-
  35. trmacira
  36. Acquo idem plane creniet, s panctum B fueric in CurVX

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. 44. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0490?run=74