Leibniz Legible

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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 64

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: 0.91.

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The machine reads it as

  1. 64
  2. Figure ABC ad superticiem solidi orti exrocarione figure HI
  3. IL. componitur ex rarione perimerri ABC ad perimerrum HI
  4. IL exratione recte D Fad radium rorarionis FisurE ABC,
  5. ex rarione radiiroracionis figure ABC ad radium rocario-
  6. nis Fioure FIIL, ee ex racione radiirocationisfigure HIIL ad
  7. rectam KN; Pederes postreme rationes componune ratione
  8. DF adK N; _ igicurracio superficiei solidi orri exrotatione
  9. Figure ABC circa F. C ad superficiem lolidi orri ex rocarione
  10. Fioure FTIL CirCAMO componitur ex rarione perimerri ABC
  11. ad perimerrum HIIL _ exracione incercePEE inter cenerum
  12. pravicaris perimeeri AB C d eius axem roracionis, nempe
  13. DF ad incerceptam incer cenerum granicaris perimeeri HITL
  14. ee eiusdem axem rocacionis nempe KH, quod demonstran.
  15. dum exaE.
  16. Hec quoque locum habene, eodemque modo demonstrz:
  17. cur in superticiebus rocundis geniris a rocacione linee vel
  18. linearum quarum cunque fisuram non comprehendencium
  19. e ad axem exiltencium.
  20. PROP. 33. YH EOR P M A.
  21. Si sint duae sieura quaecunque, quae rotentur circa axes quoscunque,
  22. ratio onius solidi orri extali rotatione ad (olidum alterum ex ea
  23. demcenirum, componetur ex directaratione ficurae ad Rcuram;
  24. es ex directaratione interceptae inter centrum eravitaris ex axem
  25. rotationis unius ficura ad similem interceptam alterius ficura.
  26. O TnC dux AGUITX QUIRCUNgUE ABC, NQ P, GUX FOTeNEUX
  27. circarectas F F, X4: lineque carum contra gravicacis
  28. D,R, C quibus in axesrocationis FF, Z4 demittantur rectae
  29. perpendiculares DC, RZ. dicorationem solidi orti ex houra
  30. ABC rocata circa rectam P. F ad lolidum orrum ex Aguri
  31. N AP rocacacirca rectam Y4 componi ex ratione AgUIFR
  32. ABC, ad Aguram NOP, e exratione DC adRL. ParaIIeIIX
  33. ec

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 64. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0080?run=74