Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 173v

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.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 176r); this page is its left half.

The machine reads it as

  1. excoritanda crat, quamque ex principiis tam generalibus deduxi,
  2. uc nitillam respuat cranscendentis speciem, vel maxime composicam.
  3. Acque hujus ope Circuli ex Hyperbolae Ouadracura Franscenden.
  4. tes, Dari Facilitate, qua aliarum Pisurarum Quadracurae Alsebraicx
  5. inreniuntur. In eo camen praelertim nitet non contemmenda Mo.
  6. chodi nostrae praestancia, quod uno calculo infinitarum Figurarum
  7. Ouadracuras absolvac: F.E quia inFNIEX sUNE FISUITX, QuarM ArCK
  8. cum simplicioribus comparari pollunt, oltendam quo pacto com-
  9. paranda sic quaeliber Fisura daca cum simplicistima ejuidem gene.
  10. ris Fisura: Inde Theoremata sereralia deduco, quibus Ouadra.
  11. curae particulares absque omni computationis molestra inremuneur.
  12. L. P M ML
  13. Fis. F. Sint dua CurVa FOTI, ACS ita inter se relatae, ut ducta PC per-
  14. pendiculari ad quodvis Curvae punctum C, sit intercepta PM aegna-
  15. lis lineae MC, quae est ordinatim applicata alterius Curva ACS ad
  16. axem communem AD; erit dimidium duadrati ordinatae GM in
  17. Curva FOTI, aequalis Areae Curvilineae AMC, rectis AMI, HC
  18. ex curva altera RC comprebensae, id est ZGNIg- ANC. Demon.
  19. stratur hoc Theorema in Lectionibus Geomerricis D. D. BaEFON.
  20. Corol. THrenire Ouadraturam Arex cujutris Currilinex AMC.
  21. L idem est, acque aliam Ccurram PCHI invenire, cujus in-
  22. terCePCA PMI sc aequalis ordinatim applicacx MIC in Figura Mua-
  23. dranda AMIC. Cujus pulcherrimi Problematis solurionem dabo
  24. facilem et generalem, quoniam ex hoc cora nostra Merhodus de
  25. Dendet.
  26. 1.
  27. e RO+
  28. Data expressione Analytica interceptae PM, aequationem invenire, quae
  29. Curvae istius FCI naturam definiai.
  30. TT communis veriulquo Currae abscissa ANI y, ordinacim
  31. applicaca OMI= N, C MC 1∞, _ (a) quancicas daca ex de.
  32. terminata, Oniearis Locum supplens, ad efficiendos (E opus Fue-
  33. ric) omnes terminos aequalium dimentionum. Solutio: Reducatur
  34. expressio AnalVICA INECFCCDEK PMI (sOu MIC) ad Formam simpli-
  35. cilsimam, liborando terminum r, quancum heri porest, à bonis
  36. Radicalibus.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 3, fol. 173v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068200:0348?run=74