Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

De Locis Solidis Secunda Divinatio Geometrica, fol. 87

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: 0.86.

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

The machine reads it as

  1. BRDIHATIONrM COILC. LIMITIBVS LIB. L.
  2. a L conticulus rectus ete, alque AO Bal CsL. Ct Perpenaiculalis, CTiF
  3. guadracum AO aequale rectanguio sub CO in OF, vel sub dimidio ipsius
  4. C:O, hoc est sub HO in duplum OE, vel, ex constructione, in roctum.
  5. latus Parabolae PFIL: Sed quadraum eriam semiordinatae ex O in Para.
  6. bola cidem rectansulo elt a xequale, ergo eadem AO est ipla semiordi- 2 rr. primi
  7. nata: quare Parabola PFIL. neceslario eran(ir per A, ac similiter per C.
  8. Ouumque GHI, IIO sine aequales, rectae C A, C C Parabolam contin
  9. gene in A, C, sed in ipsis quoque punctis contingune de Circulum, er-
  10. Conic.
  11. 30 in jildem tamum A, C; Parabola Circulum cansic b ee in reliquis 10. b 61. prim
  12. ta cadic extra, adeoque ipsi Circulo est circumscripta.
  13. Amplius, ex diamerri rerminis B, D.
  14. 2ganur cangentes verricales, quae PaLa-
  15. bolam secent altera in V, altera in L, L.
  16. ee SC quicunque alius FaUS OF, Se per
  17. I Ordinata, quae Parabola OcCurFat in R,
  18. dliametro vero in T.
  19. Ft quoniam ab origine O, cermino in
  20. ceriori axis criansuli circum seriptis ad C ij-
  21. culi peripheriam ducti lune rami OD.
  22. OF, OA, OB _c. atque ab hOrUM FCF.
  23. minis D, F, A, B super B D demistae
  24. sunc perpendiculares D D,. F T, A
  25. BB dC. atque axis B O. sectus est bita-
  26. ria in FP, quadrata iplOrUM OD, OD.
  27. OA, O. B eec. crunc inier se ve sunt c li
  28. de MaX. 8
  29. REx HD, HITs HIO sHIB ac. vel in ParabOla L A H C L, re tan a 20 primi
  30. quadrata semiordinatarum DI, TR, O A, BV _c. dC Guac d. MMH La- Conic.
  31. mi OA 2d Circulum aequatur quadeato lemiordinatae O A in ParabOla,
  32. quum iplorum latera eadem sinE aC recta OA, ve supra octendimus, et-
  33. S0 _e reliquorum quadrata quadratis reliquarum singula singulis aequalia
  34. crune; hoc est ipsi rami OD, OF, OA, OB ad Circulum ipsis Cemior-
  35. dinatis DI, TR, OA, BV, in Parabola singuli singulis sune aequales.
  36. Concauum ergo huiulmodi Parabolx eA Limes propolux Ordinationis.
  37. Duod erat _C.
  38. Min.
  39. n
  40. aius.
  41. luneatur ractius A E; de quat a s Tansente C A, de radio
  42. Ine consta eandem habererationem distanciam incer verrices Limitis,
  43. 3esi CAI
  44. ee Circuli ad distantiam inter originem, de verticem Limiris, quam
  45. AIa SeC CCa LauS Minimus ad maximum, est enim B EI ad HIO VE e C 10 huius
  46. BO ad ODi Suret eici e (t en s
  47. al
  48. int a

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 87. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0115?run=74