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De Locis Solidis Secunda Divinatio Geometrica, fol. 101

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

The machine reads it as

  1. VARIAR DISPOSITIONOM LIMIT. L. IB. III.
  2. 101
  3. sam quacratum ordinatae L. I in quadeante AB FD aequatur dif-
  4. ferencia inter quodrarum dacx A B, dc quadratum segmenti AI.
  5. A Per PEOP
  6. 30. lib. 2. hu-
  7. Ouadratum vero ordinata lO in semiparabola F. OC, cujus Foeus jus.
  8. est B aequatur differentiae incer quadrata AI, IB segmentorum da-
  9. Ex AB: sed cum lic (ob hanc diasonalem harmonicam BOD) FTY B DEF PrOP.
  10. 33. lib. 2. lV-
  11. ad IL, DE MI ad IO. _ permutando HI I 3a IMI, WEL l ad IO, erie jus.
  12. quoque quadratum FII, ad quadeatum lM, sire quadeatum AD ad
  13. IM, sive quadracum torius darae AB, ad quadrarum lui legmeneimi-
  14. noris BI, uc quadracum L lad quadratum (O; Hoc est uc differen-
  15. eia incer quadrara datxe AB, ee lui legmenei majoris AI, ad differen-
  16. eiam incer quadrata suorum legmeneorum inequalium AI, IB.
  17. OuaprOpter data A B secta est in I in duo sesmenta inaequalia
  18. AI majuS, de lB minus, sic, ue quadearum majoris AI sic medium
  19. harmonicum, inter quadrara rorius dacx AB, ee legmenei minoris BI.
  20. 1d quod est idem ac dicere datam A B sectam ese in P, sCCUH.
  21. duni mediam, e exrremam rationem harmionieam quadratorum.
  22. Ouod crae Faciendum.
  23. FE haec pro incerim de cribus his Medieratibus dicta Fusticiane.
  24. Exererum (quum Cuaristimo Sornemr Doner jussui, receptohae
  25. die vigelima quarra Novembris currentis Anni, 1674. parere de-
  26. beam, ee ue lape accidie, lonse ab Uebe per plures Forrasse an-
  27. nos immorari, adeoque impressioni praelentis Operis Coniei hoc
  28. Libro Tercio Anem ponere cogar) ne lequentes Pagine vacent,
  29. has dumscaxat liceae mihi peculiares Arres adjicere ad Secliones
  30. Conieas (quas ue plurimum in ipso depiximus mechanice per
  31. reculam, se circinum) expedire delignandas, luis tamen geon
  32. metricis demonstrationibus hoc in Volumine altariS, CONFIRMALAS:
  33. tic primo (’ex daco verrice, ec F0co) Sectionem parabolie, quam
  34. deseribere oporruit in praecedenti Problemaie decimotercio.
  35. l 2 ta 1.
  36. t. AL
  37. ata recta AB pro semirecto larere desoribendae Pa-
  38. rabolae; per verricem B, e circa. productum axem
  39. BC ipsam in plano ope circini, e regulae, per puncta
  40. concinuara describere.
  41. EOper BC exciletur per B perpendicularis B D cui aequidistan-
  42. D cec dueaneur quorcumque recte C F, intra iplam BD; e
  43. polito culxide cruris circini in a, incervallis lingulis AC, AC,
  44. AanE Eotidem aECUS CD, CD, primam normalem BD sCCANEeS
  45. in D. D: Porea vero. polico culpide in B, incervallis lineu.

Cite

De Locis Solidis Secunda Divinatio Geometrica, fol. 101. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/898203430:0293?run=74