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. 214

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: 0.90.

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The machine reads it as

  1. DeGeodaesia.
  2. terum dividenao. Nempe, li duplum arex (AB)
  3. per alcicudinem dividatur, habetur Bass; Fin
  4. ver basin, habecur alcitudo. PUTa A) AB (B.
  5. B) AB (A. Acg; de Triangulo Rectangulo
  6. laCTenUS.
  7. Trianguli Obliguanguli (sire Acucangulum (It. Ere Obli
  8. quansulum,) calculus a Trianguli Rectanguli calculo depen.
  9. dec Demilsa enim ab angulo quoris in lacus oppolicum per-
  10. Dendiculari emergunt duo Triangula Rectangulas ex quarum
  11. calculo cognoscitur area Trianguli expolici. Exsempli gracia,
  12. In eriangulo BBC, ab ansulo C demissa perpendiculari CA,
  13. (unde tune ad A anguli uerinq; recti)
  14. emergunc criangula rectangula C. AB,
  15. C AR. Stigitur C A dicatuR A, AB
  16. dicacur b, AB dicacur B, _ BB dica
  17. tur B = b F B: eric C per modo de-
  18. monserata) = A b area crianguli C: AB
  19. EAB area criansuli C AB. ide
  20. Oque = Ab F = AB = = AB arca 10.
  21. cius CBB = C AB + C AB. HOC CA,
  22. Si trianculi cuju(vis alindo (sive pera
  23. pendicularis a verrice ad ba(in) ducatur 3B.
  24. semissem Basis, Cvel Bas: s in semissem alticudinis, ) emereit area trian
  25. euli.
  26. B
  27. B
  28. + B-
  29. A) ABC
  30. B) AB(B
  31. Trianculi
  32. Oblrquae.
  33. Nocandum aurem est, quod in trianculo Obtusangulo, si ab uirovis
  34. acutorum anculorum deminatur perpendicularis (uE nempe anguluS
  35. ille acucus, puca B; habeatur pro vercice crianguli, et lacerum
  36. breviorum alcerum, C B, pro bale, )perpendicularis illa (puta P L.)
  37. cader extra exposirum trianculum in basin productam: (quod Ceo
  38. mecrice, E opus ett, Facile eR probacu:) inrariata camen pra
  39. cedentis regulx veritate; quae quidem hic Subductione collisi
  40. cur, sicur in praecedente exsemplo Addicione. Ouod Sic olten
  41. dicur.
  42. Trianguli BEB rectanguli (proprer angulum rectum ad F,
  43. demilsa perpendiculari Factum,) area habetur ex ductu alcicu
  44. dinis BF in ZFB. Cemissem Basio; Triansuli verO. BFC. (ParI
  45. de

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. 214. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0260?run=74