Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 188

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. 288
  2. E L F H. C U R Y A R U H
  3. puncta, uE B _ D, aequalicer ab Asymprotis distent: quandoqui.
  4. dem, (BF, DF aequales sunE, ad dita verinque BD, vel in oD.
  5. politis Hyperbolis ipsa F F, _ B P ipsi D F, ideoque de rectangi
  6. lum EBF rectangulo FD P aequale erit.
  7. Corollarium 5.
  8. Apparet quoque, cam, quae ex centro quamlibet rectam, vel
  9. in una eademque, vel in oppoliris FIyperbolis ductam, bitariam
  10. diridie, omnes quoque ipsi aequidistantes bitariam dividere. IIE
  11. Si ex Centro A ducta A NO diridat bitariam rectam C P, cuia-
  12. quidistans sIEBD; cum, aequalibus N P, NC additis dempritre
  13. per 2 Cor. xqualibus = PHI, CC, aequales quoque sint NH, NC, ideo-
  14. S hujus.
  15. per a quin. GuC de OF, OF 2: erune smilicer, dempris rurtum addicilve
  16. ii e 4 sca- X qualibus 3 BF, DF, ip(x OBeEO D quoque aequales.
  17. 3 per 2Cor. Fjulmodi autem rectae a centro per Flypeibolam
  18. Shujus.
  19. aut AOs- ducta a, intercepex diametri, seu diametri simplici-
  20. milesque in FeF; at qua a centro inter oppolitas LIy perbolas du
  21. Etigura.
  22. BuEAOF. Cuntur , secundae diametri; parallelae vero per cal-
  23. milesque in dem bitariam sectaec, ordinatim ad diamctros appli-
  24. TI AGUTa.
  25. UEPC, DB CatX rocantuI; de si applicata 2d angulOs rectOs a dia-
  26. in veraque
  27. ietris lecentur, caedem diametri LIyperbola axes ap.
  28. Pellantur. Ouando autem lecunda diameter ordina-
  29. tim ad incerceptam diametrum applicatis parallela est,
  30. altera alceri Conjueata diciEHr.
  31. Corollarium 6.
  32. Ex praemissis colligitur, non posse alias rectas, quam dictus
  33. parallelas seu ordinarim applicaeas, a diametro bitariam seca
  34. ri. Si enim Aeri pOssic, secetur a diametro AO bitariam prae-
  35. cex applicacas alia recta, uE O R, AEympeotis occurrens in S
  36. _ T; _ sic per O. ordinatim applicata BOD, AsymptotiS OC-
  37. L. Den 2, eS CUEFOAS II F _ F. AqualES CTOO CrUNE FaM F. O, FO +, quait
  38. Cor. 5. bujus. I 03. 5. 5. Duoniam vero, ducta L V ipli S F parallela
  39. ISUFa.
  40. 5. ex Bypoth.
  41. juncto C Or. 5
  42. hujus. 6 per. 25 es 29 Primi:
  43. deu

Cite

Ps. 2, fol. 188. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0212?run=74