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Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 109

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. EF HINarVOuOS.
  2. E, ad V: L + 4 p: auF ZZ ad V: = L2 + p2. Adeoque UE OM-
  3. neS V: = L2 + p: ad toridem = L; lIC OmNeS OE FANSCHTCS, HOC
  4. cA, (in Pa:tibus exiguis) 00 curre, hoc est AO curva, ad om-
  5. nes EF, hoc est rectam A T vel D O. HO-CH, Si H9, 26. P0-
  6. nIEuE A R = Z L. semilacus cum rectum cum cransvertum hy-
  7. Deibola R n; _ A T uc in parabOli: FFIE, UE Y A KK reSTan-
  8. oulum, ad T A K n quadrilineum: sIC A T cangenS, vel basis
  9. DO, ad A O curram parabola. Fc parres pircibus respectire
  10. proportioniles. Duod quidem supra inveneis convenie, ubi axem
  11. AD ad AO currom esse ostendius, uE T A n criangulum, ad
  12. idem T AR quadrilineum. NaI AE TriaDSaIUM T A X =
  13. d C, ad rectangulum Y A K = Z L V d L; hOc elt, uL d ad vdL:
  14. LiC A D dd A I.
  15. Sed e hinc limili modo acque supra, inveniemus superticiem Conoidis
  16. conrexum conoidis pacabolici. Nempe (ob easdem varcicularum Parabolici
  17. LF _ n X distonias ab A IE,) FrIEuE Cylindrus ex convertione superfeies.
  18. TX poralleloorami, ad Cylindrum ex lmili conversi one paril-
  19. leloorammi Ts minus conoide hrperbolico ex convertione R SK
  20. hyperbolae, (circa eandem A s reCTAM;) SiC circutuS radio A Y
  21. delcripeus. ad conoidis superticiem conrertione AO curra de-
  22. Fcripeam. Quod e supra craoitis eriam conrenit. Nam eadem
  23. est racio circuli radio A T descripei, ad duas tertius superticiei
  24. cplindrica recta TO descripexe, quxe est Eolidi ex convertione
  25. PAK rectanguli, ad solidum ex convertione crianeuli Y A n,
  26. circa eandem AH. Ouare e eadem superticies Conoidis veroris
  27. modo proveniet.
  28. Sed incelligamuS jnm (nON A F, Sed) A D in punctis d Xqua- CurVA PA-
  29. licer dirilam: adeooue d a = d arichmecice proportionales, e rabola.
  30. dd= aequales, e d0 = V d L, _ (propcer dF duplam FIg. 36.
  31. rectae d A) cangentes OF = N: 4 d2 Y d L. Trem (concinuatis do
  32. AOneC PFOxIMX GUXGUC LANGeNEI O F OCCurFAEin I) VE dF = 2d,
  33. 2d FO: sic d d A, ad 0i
  34. N: 4d + dL. AJ: d + 2 dF.
  35. Adeoque (I ad eunde AD AXCM CONAEUAEUE CUM A D a cri-
  36. angulum isosceles restangulum, cum ADH hrperbole (cujus cum
  37. lacus reCtum Cum eraNIVersUM sIE = L,) aEque AD L rectanou-
  38. lum cujuscunque lacicudinis, (adeoque sinsulas e d singulis
  39. F19. 28.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 109. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0129?run=74