Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 303

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.

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

The machine reads it as

  1. rOD. V
  2. ON ICI
  3. PRO P. VII.
  4. De Coni-Sectione.
  5. Ea Buucio guoris, ut a, in Prianguli VB LCCom in-
  6. intelligatur Plarum Pae al ICa MMMILCTC, i aiqum CX P2-
  7. sulo VBS exsittenti) perpendicularis, (adeoque d reliquos quos se-
  8. cat circulos isti parallelos secet secundum rectas iplorum diamerris in
  9. eodem criansulo exsistentibus perpendiculares, qua propterea et ipl
  10. OO parallela crune; ut Ratim demonstrabitur:) communis Sectio
  11. superticierum Coni, planique secantis (puta O AO,) Sectio. Conica vel
  12. ConiSectio, dici sOlet; Ft quidem vel Parabola, vel FIlipsis, ret IIY-
  13. verbola: Nempe Parabola, S recta sic ducta sit reliquo cruri paral-
  14. lela, (adeoque nusquam ipsi, quantumris utrinquo produCatuE, OCCUF-
  15. TenS,) uE AP: Fllipsis vero, M recta sic ducta ad erus oppositum ver-
  16. Satu (adeoque ipsi, saltem producto, sic intra verticem occurtura,) ut
  17. AF a: Fsyperbola denique E recta sic ducta ab opposito crure rece
  18. datus ut AFE (quae ipitur ex concraria parte producta opposito cru-
  19. In supra rerticem concinuato, occurret, puta in a.)
  20. cedentis, e circa quod supponitur Conus formari) utroris Crure,
  21. recta ducatur Friangulum sCCanS (DUtA AP, AF, AFI;) super quam
  22. dum rectam OO, Jua sc illius circuli diametro puta BS, (in trian-
  23. Punccum autem A Cont ecno re etut; a quidem A, an
  24. (in Flliph ex TTyperbola) Vertices oppositi. Rectaeque AP, AF, AFI,
  25. conisectionum Diametri, (nempe A P ParabOlR, AP EILIPSS, A FL
  26. EIrperbola:) ip(aque A2 (FIlip sCos rel Frperbolarum) Diameter trans-
  27. versa: (idem nempc planum quod Hrperbolam in uno aliquo cono
  28. eHicit,

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 303. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0323?run=74