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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 90

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: 0.89.

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

The machine reads it as

  1. quad LCCC_ X AE duplum suxerheiei crunci exie Xra
  2. dius circuli aequalis superticiei sphaeroidis genita aroratio
  3. RE CUrHEFFT circa axem FY, quod demonstrare oportuic.
  4. Ilinc ceiam paret quod superticies sphaeroidis sc magni.
  5. cudine se craricace analoga cum leomeneo elliprico F D Fo
  6. RP, idem enim quod demonaratur de inceoris, non dictimile
  7. mechodo demonttratur de parcibus carum proportiomalibus
  8. v.9. eodem modo demonstratur superticies genita exroca-
  9. tione curuae FN aequalis circulo cuius ractii quadracum dun
  10. Dlum est Pcemenci clliprici FkPO, quo demonstrata est prae;
  11. lens propotirio; quod criam in cribus lequencibus est incel-
  12. ligendum, cum eadem sic racio huius ee illarum, me enim
  13. ex dec cadem (eMperrepeTerE.
  14. PROP. 48. PROBLEMA.
  15. inmenire circulum aequalem (aperficiei spharoidis latae
  16. Ic sphaeroislaea genica ex rocarione FemiellipleosM C
  17. Rcirca axem breniorem M R cuius superticiei oportee
  18. ainvenire aequalem circulum. In verricibus M, R, elliplem
  19. eangane recta MA, RD, aequales lemith laceris recti. Dein-
  20. de centro P, verrice C, per puncta A, Cd, ducarur hyperbola
  21. ACD, de Seomenco hyperbolico ACDRM AAC ae quale qua-
  22. dracum cuius diamerer recta X. dicoz esse radium circuli
  23. aequalis superticiei sphaeroidislaca propolice. Sic hyperbolae
  24. alymptota PF rectam DR sccans in F, Scque hyperbolam
  25. cangens in verrice recta B C C, Q iVBSANCUF RCCAX FD, PC70
  26. ex quoliberellipseos puncto l in onem MR sic perpendicula
  27. ris IO rectasC C PD, PF, PC interlecans in punctis FB Kd
  28. OLicem hyperbolam incerlecans in E. Sic recta CN aequa
  29. lisrectae DIE; manifecstum est (ex commentarius Firancilc. a
  30. Scorten in Carrelium p28. 224) rectam NI ellipsem cangen.
  31. tem in punctol normaliter (CCorC. Quoniam PF eAhyPerbO
  32. 1∞

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 90. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0174?run=74