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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 297v

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: 0.83.

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The machine reads it as

  1. problema:
  2. datos Basi, anguao ad basin et rectangulo sub lateribus invenne Vlumo:
  3. Data basi DE, et’ angulo CDE datur et tangens et seans
  4. DG. ergo et arca Tli GDE, ac proinde datu altitudine DG
  5. et basis HE. dato angulo CDF datur et angulus DeF
  6. Deml Data basi DE,
  7. A in Triangulum CDE, b in quo datur basis DE, et
  8. angulus CDE. Demittatur perpendiculoris CF, ob datum ergo
  9. angulum CDE, dotur et angulus CDF agatur alia perpendicula
  10. exangulo ad basin, ignoto, in latus oppositum. Patet
  11. CDHE esse = DE CF. Ergo DE = HE = HP EQ-. cD
  12. C)
  13. ergo si sit Tlum Rectanus DEq. et Eq= cd, item si aliud
  14. HER et EK = CF, erit anus HRE, = Anis DGE. et quia
  15. Et parallela Hd, erit ang. DHR angulo HR E vel 3gE agu
  16. ta Basi DE, et angulo CDE, datur tangens G2. et secans DG.
  17. et ob aream Ili GDE, cujus omnia latera dantur datam, dabitur
  18. et HE perpendicularis ergo et HD et GH: et CE DC. D
  19. seu plani DRava, posito CA= CE. Ergo patet
  20. etiam esse Triam. datum DEbis (seu Rhomloe) ad
  21. Ilum CDRbis seu planium datur ut HE, ad CEvel Ck
  22. ergo posito CD = X, erit RHE = HE se
  23. ar et jua CDHE- CF DE CK
  24. c
  25. D
  26. fiet: et
  27. (DE- HC sive epDE= HE a
  28. e
  29. Ergo CF + H5) an CF D CR = HE a
  30. DE.
  31. sive CFCC = HE a = b
  32. Sed bucipsius omtm lamts. DF ( et nx DE
  33. DE
  34. GE.
  35. E
  36. Ergo DE de Ergo CFCX = X = BGECDE.
  37. sive
  38. D
  39. = De= u h BE GC
  40. et
  41. Jam EE = DE. Ergo DF- X D (x C. et FE = DE- _CX.
  42. et sed et sic ita per FE et CF, habelia si et tentermus ide
  43. rro Ergo
  44. CE aliter habere X + X( = DC,, et Ergo
  45. CFCE.
  46. X
  47. JXFFC
  48. au a. Eux. ed Ergo id foret aegoste
  49. eo quaeratur pe FE, nempe FE = DE -DER + B X addatur X, fit CE
  50. multipliettur per X, fier DE x - 2BDEX + BX + X + = b = CFCC
  51. Uunde sequitur theorena esse planum cum secundus ejus terminus totet possit
  52. et posten X = X ese. possent redui ad _) + B ponendo X = y a,
  53. vetcys Hoc
  54. problema

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 297v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0594?run=74