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. 42

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. IDEDIOATIO
  2. quatio ad regulam primam; Eproprer quadratum Cemistis cer-
  3. mini absoluri, majus C’ubo coefticiencis termini medii, nempe
  4. 72X72 = 5184∞ 729 in D x 9x9., Hujus ancem aequa-
  5. cionis, est radix unica possibilis affirmarira; nempe 7 = 8
  6. deorlum (uclupea octensum eAt;) reliquae dux impossibiles.
  7. Ouod argumento est rectam. c B non nili in uno puncto expo-
  8. liEx curra Occurrere. Ouamris enim verum sic quod recta co B
  9. occurrae etiam in B, curra AB, non camen illud ad praelens
  10. negorium omnino spectar: quipec haec a quario non spectat cur-
  11. ram aAB, sed curram aAa, uc lupra dictum eAt. Aeque idem in-
  12. celligendum eric de puncto h, iilque omnibus quibus incerleca
  13. tur BA cciam, ulera vercicem ex alcera parce Turlum continuaea.
  14. Pari modo, E potira elet aequatio r3 27 r = L 154. nise
  15. quod illic radix qua unica cst possibilis, eec negacira, 2de09:
  16. Turlum lomenda: De conreniret haec aequacio rectae per R ductas
  17. AnEmPC AK, Eire A C Curlum, DOnacur 5 =3.
  18. acque hoc continsit quoties h, vel AC (tive lurtum sive deo
  19. Orlum) major est quam 2 AF. HOC eA, quocies e vel cA
  20. minus quam o, vel plus quam 4d: Ouippehillud, cric C, lu-
  21. Pra F; Ehoc, eric intra e.
  22. Denique; E Donacurxquatio ro = 27r = L 54. (ade093
  23. B = = 2.) perinde cst ad veramris eegulam exisatur; (quia
  24. quadracum semissis cermini absoluci, equarur cubo criencis
  25. Coetticiencis, 27 X27 =-9 F 9X9 = 729.) Si ad certiam exj.
  26. Bacur; Ccripeo circulo cujus radius 3 (= V 23 = V9,) inscri
  27. bacur recta quae (Ic 6 (= 2+;) haec aurem cum (c diameter,
  28. quippe 6 = 3 + 3) dirimet cicculum in duos Cemicir-
  29. culos; utriulvis aurem Cemiperipherix crienei subcendic re-
  30. cta radio aequalis; adeoque cum A = 3, cum F = 3; icem
  31. L (n A + B) 6. HOC eAt, B r2 = 27r = FG4, (pOlICO
  32. C, in _,) radix affirmacira t6 deorlum lumenda; de negatira
  33. in 3, n 3. (lumendae Curlum,) quae propcer aequalicacem
  34. Cuam coincidune, adeoquepro duabus currae incerlectionibus
  35. indicane unum contactum, nempe a. Si vero (C 1 2 = 27r L
  36. 543 (POCItonempe Gin, P,) radicum maxima 6 eric ne-
  37. eacira, Cursum Cumenda; _ dux minores 33 3, aftirmacirae, lu-
  38. mendx deorlum, ec (propcer aequalitarem, adeoque coinci-
  39. denciam) indicabune puncum concactus, a.
  40. Cinventis aurem omnibus radicibus r; (i illis sxillarim aua
  41. Feratur

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. 42. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0488?run=74