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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 52

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: 0.93.

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

The machine reads it as

  1. circa dLCH Tocacionis PK, ese quancieaces magnicudine
  2. prouicare analogas, quoniam eadem proxortio qua demo
  3. Aratur esse incer eocas, eodem modo demonstracur ese ins
  4. cerparces carum proporrionales.
  5. P R O P. 25. EH F O A E M A.
  6. Fisdem positis, supponendo anculum inclinationis, Plani secantis
  7. cum base cylindrici (Riopus est) producta, esse semirectum: Dico
  8. quadratum semidiametri circuli aequalis superticiei (olidi rotun
  9. di duplum esse suxerficiei rrunci.
  10. Sc enim ex praecedente, re alcicudo cxlindrici ad circu
  11. La Ferenciam circuli cuius lemidiamerer est radius Focan
  12. cionis, ita superticies crunci ad superticiem Colidirorundi.
  13. in hoc aucem calu, quando angulus inclinacionis e lemire.
  14. etus, alticudo cxlindrici est ae qualis radio rocationis; e ideo
  15. in nostro casu, ve semidiamecer ad Cui circumferenciam, ica
  16. superticies crunci ad superticiem Colidi rocundi; re aucem
  17. Temidiamerer ad circumterenciam ica Pemissis quadrari le-
  18. midiametri ad circulum; de ideo re lemissis quodraci Pemi-
  19. diamerri ad circulum, ita superticies rrunei ad superticiem
  20. Folidi rocundi; de conuercendo d permutando, circulus est
  21. ad superticiem Colidi rocundi ve lemissis quadraci lemidii
  22. metri ad superticiem erunci; se d circulus lupponitur xqua-
  23. lis superticici solidi rocundi; ec igicur Pemiltis quadeaci lemi.
  24. diamerri illius circuli aequalis ett superticieierunci; de ideo
  25. quadracum Cemidiamerri elt duplum superticiei eruei, quod
  26. demonstranaum erac.
  27. Duxe praecedences proposiciones eodem prorsus modo
  28. demonstrantur de superticiebus rorundis genieis Cxroca
  29. tione rnius vel plurium linearum quarumcunque sive recta-
  30. rum curuarum vel mixtarum, Rsuram non claudencium 5
  31. semper enim ad supexkicies ey lindrisi recti super linca vel li.
  32. neis

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 52. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0136?run=74