Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

De Locis Solidis Secunda Divinatio Geometrica, fol. 128

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: 0.89.

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

The machine reads it as

  1. VINCEHTM VIVIAMI DE LOCIS SOLIDIS
  2. 19. lib. 1.
  3. poctra Din
  4. X28
  5. minac. in ob id huic chcumseripea.
  6. B IT. 12. 13
  7. regulatrices vero in O.
  8. mucando HIB ad H C, ve BN al BL, led incecedences HB, HC sunt
  9. consequens BN consequenti OL aequalis erir; quadratum igitur BN equa-
  10. cur rectangulo luD BN, OL Lea etiam quadratum Cemiordinatae AN in Se
  11. primi Co. ctione data L aequar M bfectanslito sub B H in NO, ergo quadratum
  12. iica
  13. deol.
  14. reculatrix descripia scclons cac cona caa e esaracte cala, ab
  15. ea lemper magis recedie, etse sec a enca Caca AC,
  16. Sic mode ex verrice B in data Sectiene Melus uue Caus .
  17. e per A Cic ordinata axem secans in N, descriptam Sectionem in M.
  18. lam, quum (c HI B ad BN ve HIF ad FL, vel MHC ad OL, erit per.
  19. aequales, ob angulos lemirectos ad B, G, in triangulo BHC, crgo, de
  20. ibidem:
  21. nata NM in ipla MBC eidem rectangulo BNL. aequale eAtc ergo quadra-
  22. cum B A quadrato NM, hoc eA ramuS B A ad datam ABC aequatur le
  23. miordinaiae NM in deleripta MBO: de sic de singulis ramis de semiordinatis.
  24. In secunda demum, ee certia applicetur D P in delcripta Sectione
  25. 14. huius. MB2. Tam quadratum rami BA ad quadratum rami BD, ve d est rectaneu
  26. 21. primi lum FNNIB ad HID B, vel rec quadracum semiordinatae NM ad quadratum
  27. Temiordinatae DB, Ced permutando quadratum BA aequatur quadrato WM,
  28. ereo quadratum BD quadrato DP sive ramus BD ramo DP aequalis erito
  29. ee sic de lingulis eec. Duare concauum delcriptae Sectionis MB) eA Limes
  30. propolitus. Ouod pro singulis Coni- sectionibus demonstrandum erar.
  31. Nocandum eric in sequenti Coroll. id, quod pro sola Hyperbola collin
  32. situr, colligi quoque, ex superius octensis, pro reliquis etiam Coni-lectio
  33. nibus, adeo re loco. yperbolx-legendum sic ibi. Coni- sectionis.
  34. Sed reliquum huius Prop. in Hyperbola quareae fisurae ostendiur sic.
  35. Tandem
  36. Conic.
  37. BN cum quadrato NA, vel vnicum BA aequatur rectangulo sub BN in
  38. OT. vna cum rectangulo sub BN in NO, vel rnico sub BN in NL vique
  39. ad regulatricem descripta Sectionis MB, Led etiam quadratum semiordi

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 128. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0156?run=74