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[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 92

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: 0.90.

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The machine reads it as

  1. 2
  2. ius
  3. ersqualesecta FO, IH; cumque hoc semperhnr in om-
  4. nibus punctis curux ellipricx MCR, manitepum cA ex huius
  5. 3 Teomencum hrpertiolicum AC IdR M esse xquale FuPerR.
  6. cieierunci super curua elsiprica M CR lcAx plonoper recta
  7. Mcronscunte, se in ansulo semirecto cum hase erunci in-
  8. clinante; ec igitur cum quadracum rectae X sic duplum super-
  9. hcicierunci, eric X radius circuli aequalis superticiei sphaeroi
  10. dis lacx genitx exrocatione curux cllipeica MC R CIrCA aXE
  11. BR, quod demonstranduM CTAE.
  12. PROP. 49. PROBLEMA:
  13. Invenire circulum aequalem suverficiei conoidis byperbolica.
  14. Tcconoishyperbolica geniea ex reuolurione lemihyper-
  15. a bola FST circaaxem LS, cuius superticiei oporret inve-
  16. nirc aequalem circulum. In vertice Fhyperbolam rangac re.
  17. eta FFI aequalis semisi lacerisrecti. Deinde describaturhy-
  18. perbola crantions punctum HI, idem habens cenerum nempe
  19. Idec eundem semiaxem coiugatum nempe DF cum hyper-
  20. bolapropolca LST; Erque hyperbola descripes BHIR ordi-
  21. nacim applicatom ST productam secans in R; de Pcomento
  22. hyperbolico FHRS Aacaequale quadrarum, cuius diameter
  23. Ridico X esse radium circulia qualis superticiei conoidis hy.
  24. perbolicae propolica. Sic hyperbola propolicae a(ymptoca
  25. DV, rectom FH productam secans in R, licque hyperbolae
  26. invencae a(yMpEOcA D Y, F H eriam productam secans in C3
  27. e producacurrecta D HI. Ex quoliber hyperbolae propolira
  28. puncto Laxi applicetur ordinacim recta JC, quae produc
  29. rectas DF, DV, D Y, incerlecet in punctis 2, O, L, de hyper.
  30. bolam invencam in puncto P; licque e A aequalis rectae CZ)
  31. manifectum est (ex Fran. a Schoccen commeneariis in Cor-
  32. celium pa8. 216.) iunctam rectam OA tangentem hyperbo.
  33. dam in puncto AnormaliEer (CCALC. Guoniam reca F.K hyPEx=
  34. Bola

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 92. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0108?run=74