Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 25

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: 0.87.

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

The machine reads it as

  1. PROP. XI. THEOREMA.
  2. Dico sectorem circuli, ellip seos vel hyperbolae ABIP,
  3. non esse compositum analytice à triansulo A B P
  4. e TrapeZIOABFP.
  5. Donatur eriangulum AB P2 SerraperIUM ABFP b: mani
  6. fectum eA ex predictistraperium ABIP eAC rgab e pO
  7. IYGOnUM ABDEP 2ab icemlectorem ABIP esse huius
  8. 2 1f rgab
  9. Teriei concersentisterminationem. vr ex Perici terminis au
  10. Feratur signa radicis e fractionis, pro a ec b primis scricicex
  11. minis convergentibus, hoc est pro eriangulo ABP e trape
  12. ZIO ABEP BONANTUE a3 F a2b eC ab2 F B3; crunque le
  13. cundi serici cermini conuergentes, hoc est craperium ABIP,
  14. _Doligonum ABDLP, ba2IF b2a X 2b22. dico seriei cono
  15. ersenris (cuius primitermini conuergences lune ai t ab
  16. ab 2 F b3 _ secundi sunEBaZHF Ba, 2 b24) terminationem
  17. non esse compolic analyrice 2 rerminis a3F a2b, ab2 F b3: (
  18. enim coniponatur praedicca terminacio analyrice a cerminis
  19. conversentibus 43iF 42b, ab2 f b3; componerur criam ca-
  20. dem terminatio analycice e codemi ommino modo a termi-
  21. nis conversencibus ba2 b2a, 2624; e proinde eadem qua
  22. ticas nempe praedicta rerminario eodem modo componitur
  23. analyrice ex terminis a3 F ab, ab2 F b3, quo componieur
  24. exterminis bar F b2a, 2b2 a.
  25. led nulta quancicas porese
  26. eode modo analrrice co-
  27. poniexcerminis a 3 F a 2 b,
  28. ab2 B3, guO COMPONIEUE
  29. 23 F a -0
  30. ba 2 = b24
  31. exterminis b42. = h2 a, 2b2 a, quod sic demonstro. A analy
  32. erce coponeretur quantitas exrerminis a3 F a 2b, ab 2 1F b38
  33. eodem modo, quo anatyrice componitur eadem quaneitas
  34. exterminis ba 2F b2a, 262a; 2ddendo, subrratiendo; mul-
  35. ciplicando et dividendo terminos 83=. a2b, ab 2 X b3 de X2
  36. dices
  37. d2Hi B3
  38. a 2

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 25. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0033?run=74