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Machine transcription of the Leibniz Nachlass

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 98

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: 0.87.

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The machine reads it as

  1. de
  2. MilicudinEM ErIAASUIOTUM FIMI, LOM, CAVEHM ad MI ita
  3. OL. 3d OM, seu C:A ad FIB; cumque hoc semperhac in omni.
  4. buspunccis curux parabolicae CN; cric extruius 2 rectansu.
  5. lum AFKC 3d segmencum hyperbolicum AC. K G, VE recEa
  6. Ck ad curuam parabolicam C N; Crat aucem re rectangulu
  7. AEKC ad segmentum hyperboticum AC R C, itA ReCEA G R
  8. ad reccam X; e proinde recca Xae qualis est curue C N, quod
  9. demontrare oportuie.
  10. Fodem modo demonstratur recean gulum PP K H eNe ad
  11. Fegmencum hyperbolicum BHIKC vE recCA HIK ad curuam M
  12. N; se proinde legmencum trperbolicum ACKC elt magni-
  13. cudine d ernicace analogum cum curua Cx N, quod eciam
  14. ex truius 2 est perspicnum; cumque decur Facile eruneus in-
  15. Ferior cylindricirecci suPer AC KC ex huIuS 2F, 35 e 37 d2.
  16. bicur cenerum gravicacis scgmentihrperbolici A C. K CY; de
  17. ideoinnocescieeenerum ae guilibrii CUrVA (E N IN RCCEA CFR:
  18. hine quoque nocatu digna cs analogia in magnicudine dt
  19. BC. VItare, quae concingit incer curuam parabolicam. Cuper.
  20. Aiciem Sphaerordis laex ee superhciem genicam a FOFATIONC
  21. curux hyperbolicae cirea axem luum coniugatum, quae cui
  22. dens els ex lola Aigurarum huius 48, 50, SE In(pCCTIOnE.
  23. lALOP, S2. PROBLEMA.
  24. Si curua parabolica vertatur circa rectam, eam in verrice tangei
  25. tem invenire cirenlum aequalem (upersiciei ex tali con-
  26. versione genita.
  27. IEcurum paraboliea IE D, cuius rerrex D, rocata circa
  28. D rectam BD cam in vereice consencem, ve gisnae luper.
  29. hciem rocundam: oporcec huic superhcieiinvenire circulit
  30. aqualem. Sic curux p. rabolicae lacus recrum quadruplum
  31. RCCTA DR, _E CIMS AXISDK. PX PUNCIOIIN AXCM LK BETECTA
  32. verpendicularis l_, de axc rruntuerso AD ( cui eliam aqua
  33. UIS

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 98. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0114?run=74