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Leibniz-Handschriften zur Mathematik LH 35, 5, 28, fol. 7v

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: 0.84.

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

The machine reads it as

  1. Du D. T. proponit in actis Martii 1685
  2. curram quandum Tramscendentem, quae tota pauter
  3. ac omnes ejus partes sit absoluta quadrabilis, quod
  4. non est injucundum problema povum pec injucundum,
  5. ejus ut in quo mothodum meum expersri volui sed quia
  6. solationem non adsit methodum unam experiri vola
  7. osenB.
  8. N FGH: GH:: HAA HB AH: AB. E
  9. 1D quadrans aequalis recta BG, quaeritur
  10. dimensio spatii ABC. FGH = 1. GH = a. Ad-c
  11. Gd = ser AH = r. AD in esercc
  12. et ED DC E s BC E i. Sir cex
  13. et Ed sou BC: N:: C: s et BH = et
  14. fet BH = ar: B. Sed inde jum video lineam
  15. AC S esse revera lineam sinuum con aliquam, nempe
  16. HB existente arcu smultiplicato per rationem diametri
  17. ad semiperipheriam circuli, erit BC sinus complementi
  18. multiplicatus per rationem semiperiphoriae circuli ad
  19. Talissautem lineae sinuum quadratura jam
  20. ab aliis fuit assignata quae ex nostris principiis ita
  21. vorpe
  22. diametrum,
  23. ax
  24. derivatur: d B H = Y+ Yda. jam a =
  25. ergu fit BC et da = _r ax. Ergo fiet ABH =
  26. sirx
  27. BC LBH = (rXdx jum _
  28. VrrX
  29. =_
  30. rrXI
  31. Frxd yr
  32. exdu
  33. ax
  34. sir -XX
  35. posita y = fir-xx. fia
  36. F SirX
  37. adeoque semper erit A H in G D aequ rectangulum
  38. ex AA in GD aequale trilineo ABCA
  39. A
  40. Haec cicet deleta
  41. tamen bona
  42. de
  43. GL. GW: LR: LB
  44. seu GL = AXY: I

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 28, fol. 7v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068046:0014?run=73