Leibniz Legible

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. 130

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: 0.81.

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

The machine reads it as

  1. F3C
  2. 05, 04, O3, Ex intecedentes arque recta 92 luperat rectam
  3. FP CxCCRU AO, e recta 05 superat rectam FN exccNu OF,
  4. de recta OZ. superac rectam FSexcessu C O; igitur rectae O2
  5. OSuf OZ. sUperanEreCtAS FP FN afLS CxCCNU AO uta OF.
  6. DC: recta quoque FY superat rectum OZ exceHuOD, de
  7. recto FV superac rectam O4 excettu OB; _ ideoFY LFV lui
  8. Perat 13,O4 excessu OD,OB; cumque in serie quancita-
  9. tum C2.O5O2 F.P a.FN.FS, PY sa FV, 03.FO4, Tum.
  10. a extremorum 021F, 65,,OZ f O3,F. 04 sic aequalis Cum
  11. mae mediorum FP, F.FN. F. FS.FFY of. FV; eric differentia in-
  12. ter primam ee lecundam nempeOA,, OF.FDC aequalis dit.
  13. terenciae incer cereiam de quartam nimirum OB f. OB, quod
  14. alemonctrandum erAE.
  15. P R O P. 70. Y H E O R F M A.
  16. Si circulus parabolam in pluribus punctis secuerit, e quibus in axei
  17. eectua
  18. ex vtraque parte rectae perpendiculares demittantur; erit ea ab
  19. vna parte axis aequalis illis ab altera parte: quod si ab utraque
  20. parte in duobus punctisillam secet: erunt similiter duae ab Vna
  21. parce simul aequales duabus ab altera parre simul.
  22. IEpara bola P ABC C quam secet circulus in punctisP,
  23. A.b,C: quorum nullum cst parabolx vertex. a puin-
  24. AisP, A, B, C. demittantur in axem eidem ordinacim appli
  25. CATX AFI, BX, MC, PH: dico ordinacim applicacas exrna
  26. parce axisnempe AHI, PH, aequales ene ordinacim applica.
  27. Eis ex alcera parte axis nimirum rectis BX, CM. Producan-
  28. cur rectae PA, BC, donec concurrant in D; ericque rectansu-
  29. lum BDC ae quale rectangulo ADP, e isitur rectae parabo-
  30. lam PABCCtansenteS pATAIICla rectISDC, DP, aequales
  31. erune, quae igitur se mutuo incersecent in parabolae axc, ta.
  32. ciences cum cidem ordinacim applicaris triangula io(celia:
  33. igitur DP, DC, illis parallelae Faciune cum eisdem ordi.
  34. natim
  35. sint puncta earum contactur E, T, Ergo guncta QY socabitur
  36. a
  37. ob ano parabala bitaria et ad augu. nietos. Et e erit
  38. aqualat dimidio duuu AH, XN. EA TC aeque dimidio duam
  39. 3X, CM.
  40. Ergo aissanet AH N, aquar PX, CM.
  41. est
  42. t. 1. e
  43. ob circo
  44. 17. l.3. (on
  45. A
  46. EP
  47. 1

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 130. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0146?run=74