Leibniz Legible

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. 97

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: 0.88.

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

The machine reads it as

  1. FF HNaNOuOS.
  2. Hloc incerim addamus: Fadem opera haberi eriam convexam Supersicies
  3. Conoidis superticiem, convertione currx A e P. circa axim tuum Comtdis
  4. A a delcripeam. Cum enim rectae dc, db, iplis Fe rectarum
  5. diftereneiis, _ ec subrensis, hoc elt, (procellu in infinicum
  6. concinuato, currae parriculis, proportionales; acque in iildem
  7. sb A a diltantiie: L rie ut Polidum ex AcD parabola, ad foli-
  8. dum ex AED crunco, circa b A a converso Fietum: lic luperti-
  9. cies ex onnibus Fc in suis distantiis (quae est uc series a V a) sive
  10. (cres quinex) superticiei Cplindricae quae delcribitur recta DF.
  11. Choc est, ornibus fc in maximâ distancia, guxe ieique elt ur series
  12. Va:) ad Superkcien COnrexaM qux ab A CF curvisic converta
  13. describieur. LIt aurem solidorum eorum ratio (ex nostrx Rrich-
  14. meticae Infirirorum principiis) noca: (coenicis enim cum maeni-
  15. Fudinibus, rum monentis, adeoque e ceneris gravicatis, parabola-
  16. TUM ADC, V AB, VDB, adeoque ex trunci A b D, Tolido-
  17. rum conrertione Factorum magnicudo paricer innorelcet:) Lrgo
  18. ec harum superticierum.
  19. De iplius crilinei A C d moenicudine, aUC CeHEIO graVITaTIS,
  20. aut Colidis iltius convertione Factis, nihil adijicio: noca ucique sune
  21. ea omnia; ec ex principiis in noltra Intinicorum Arichmerica e
  22. alibi cradiris Facile deduCuneur.
  23. Sed ad Parabolam reverto; quam (uc dictum est) in memorato Curva Pa-
  24. Echolio prop. 38. Prich. Intin. Speciatim consideraviimus. Re- rabola.
  25. sumpra izitur guax ibidem est hsuras octendimus, proprer d d vel
  26. 05 (rectarum oc in parabolx complemento ordinatim opplicata
  27. rum differencias) uc 2, 3, 5, ec. Tubcen(as 0 0 ese uc V: A2 + 1:
  28. V: A. Y9. V: A + 25. Gc. hoc elt, ut ordin cim applicaras ad
  29. Arperbolae conjusium axim: ip(as aurem Os vel dd, uc oidi-
  30. nacim applicacas in Friansulo eAe, socius elt quam uE dictu OpuS
  31. SIC.
  32. Sin quaeratur adtuc, quaenum cuique parabole conveniane Tri
  33. angulum _ typerbolo: guarriqurm ea nullius difficuleatis res (IT;
  34. paucis cum expedigri. Incelligancur _L, L m, ad ansulos rectis
  35. constiturae; omnesque LM, LM, 19C. UC L. 3, 5, 7, c. difte-
  36. renciis d d vel os aequales, vel salcem proporcionale:s uc d l L.
  37. ip( EC vel A: Krun omnes R m, Subcentis 00limiliter aequales
  38. vel proporcionales; illis nempe lingulae quae cum ordinicim aD-
  39. plicatis do angulos Faciune respectiris m L L. anzulis aqualess
  40. Hoc
  41. 119. 25.
  42. L18, 26.
  43. F19. 27.

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 97. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0113?run=74