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. 96

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: 0.87.

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The machine reads it as

  1. rAEIORE LALILCCLISLLL, CAM FK; eric eriam quadracum re a
  2. IP aequale quadratis rectarum IN, IO; _ idem quadracum L
  3. averinque addendo, erunt quadeaca rectarum lP; L a (hoc
  4. est quadracum rectxe Y() aequalia quadraris recearum IO, l
  5. H. Za hoc est quadraris receorum IO, IT Ccu TCrIT, hocelt
  6. QuadraEOreCTA TC; (uNE ergO XqUalES RCCEX OI, FC; Cum
  7. que hoc lemper cueniat in omnibus puncris curux hyperbo.
  8. licxe a FC, manifectum est ex huius3 segmencum hyperbo.
  9. licum F. d aZ. ae quale esse superticieierunci super curuahyper
  10. bolica a TC seceae a plano per rectam PL cranleunce et in an-
  11. oulo semirecto cum bale crunci inclinante; ec igitur, cum
  12. quadracum rectae Z sc duplum superticiei erunci, cric X ra-
  13. huius, dius circuliaequalis superticiei genice a rocacione curuehy
  14. perbone naxem coniugacum L. L, quod demon
  15. Arundum erat.
  16. PROSSST. PROBLEMA.
  17. inuenire rectam aequalem curuae Parabelicae.
  18. em erota lecurua parabolica CH, verricem habens C _ aXCm C
  19. O, cuioporcec rectam invenire equalem. ProducaEVE
  20. axis CO in A, veCA Aac equalis Pemissi lareris recti, (IEque
  21. CK recta parabolam tangens in verrice e NR axi parallella
  22. illi OcCurrenS in R: deinde sIC recta C. D angulum recrUM A
  23. CKbitariam dividens, Astque hyperbola AC verricem ha
  24. BenS A, CenErUMI G _ A(YMIBEOEON C D; PrOdUICAEUERCCFAN
  25. R donechrperbolam sccec in puncro C lIcque A F rCCLE
  26. X ParaLellai AaE Eandem VE recraBDUIUM AFKC ad leOMCN
  27. cum hyperbolicum ACKC, ita recta C Kad rectam X; dico
  28. rectam X Equalem else curue parabolice C: N. FX quolibet
  29. curue parabolicE PunCEO M demitrantur in recFAS G O, CK,
  30. perpendiculares ML, MHI, Ecque recra OTcuruam paraboli
  31. sam normalirer (ECanS In PUNSTOM, _ reCFIS GO, C R306;
  32. CUTTEM S
  33. a

Cite

[Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ, fol. 96. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1047377675:0112?run=74