Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 7

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. ordinde maior est differentia incer haec rectangulas qua incer
  2. superlciem cylindricam ee mixtilincum; ledreaangulorum
  3. differencia est rectangulum X in differencium rectarum 7 A.
  4. grielaucem differencia rectarum 7 A, 7V, minor rect A B CK
  5. suppolitione; e ideo differentia inter rectangula X in FC,
  6. BO, A7, AmuI, _X in FC3 B9, V7, Simul, minor est quancica-
  7. ce an nempe Facco ab Z in B, hoc est ex policiones differentia
  8. incer superticiem cxlindricam de mixcilineum, quod est ab-
  9. Curdum, octensa enim estmaiors superkciesigitur cylindrica
  10. _ mixcilineum lune aequalia, quod demonstrandum erac.
  11. Duodh curua 7 D non tueric Cimplex Ced hinuolasdiriden-
  12. da elt in plures simplicess e demonstratio in rnaquaque
  13. Tcorum insticuenda.
  14. Sirero tansens7 A Fuerie perpendicularis ad recram 7 8,
  15. mixcilineum PNLESZ excendetur in infinicum ad parECS P.
  16. hoccamen non obstance: dico adhue mixcilinCUM PNL FISZ
  17. aequale ese superticiei cxlindrici recti super curra 79 C. D.
  18. cuius alcirudo X. Si non lune aequalias sic (si Reri poce(e)
  19. mixcilincum maius Cuperticie, de recta N3 recrae Hd paral-
  20. lella abscindarur mixtilineum NLFIS3 aequale superticiei
  21. Cuper curus 7gCD, hoc enim absque dubio heripotelt: co-
  22. demque modo, quo unces demonscrarur mixcilineu NL. HdS
  23. aequale esse superticiei super gCD; sunc ergo aequales, su-
  24. pertcies crlindricirecei cuius alcicudo X, luper curris gCD,
  25. 7gCD, quod esc absurdum; mixrilineum ergo PNLFS2nOn
  26. elcmaius dicea superticie cylindrica: lic (si Aeri POrelc) mi-
  27. nuS; de ab scindatur gD curvo, ica ue superticies cylindrici
  28. recci super oD exiscens, aequolis Eac mixrilineo PHL HdZ,
  29. _ duCaTUT 3 9NreCEX HI SparAIIeILA: dCMON(ETAEUEUEANEC
  30. superticiem exlindrici recci super gD exiscencem, aequalem
  31. este mixtilinco NLHSS; Sed ex suppositione eadem lupecti
  32. cies cylindrici recri ae qualis ele mixcilineo PNLHAZ; mixcin
  33. lInCAErSOPHLHSZ, NLHS3, luncincer se aqualia, quod cse
  34. absurdum; ee ideo mixcilineum non ele minus superticies
  35. sC

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 7. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0091?run=74