Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 140

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: 0.91.

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

The machine reads it as

  1. 240
  2. Per speculi vel Teneis TOKH extremitacems Ex CenErO A AaC
  3. SpheraIONKIliirem per punctum D ex eodem centro AAE
  4. Sphera ERDSC, cuius supersicici porcio a coni AIOKN su-
  5. pertcie comprehen(a3 AFRF. SD. Cuoniam sol ex omni parre
  6. aequalicerradior, Facile ese deducere ex 6 dehnitione s ele-
  7. mentoru omnes radiossclares esse ad radios in specului vel
  8. lentem TorW incidentes, uc inceera superficies spherica ad
  9. eius portionem TOKH: Se d ex archime de de sphera e cylin-
  10. deo, inccora luperticies sphaerica cl ad eius portionem 10
  11. RN vequadracum diamerri ad quodrarum chordae Pemissis
  12. arcus IK; e proinde omnes radii lolares sune ed radios in
  13. sxeculum rel lencem LOkNincidences, hoc escradios in cir.
  14. culum MPL Q congresatos, uc quadrarum dismetri ad qua
  15. dracum chordae lemissis arcus jK. Bodem modoprobatur
  16. omnesradios solaresese ad radios in circulum DRES inci
  17. dences, ut quodrerum dimerri ad quodracum chordae le-
  18. misis arcuS D F. SCd quonism arcUS IR, DE, lunc similes
  19. quedrarum diameeri circuli IKII condem habent ratione ad
  20. quadracum chorda Cemisis arcus Hl. quam habet quadracum
  21. diamerri circuli ED C ad quadracum chordae semilis arcus
  22. F:D; _ ideo omnes radii solares eandem haber racionem ad
  23. radios congregaros in circulo L PM G. quam habenciidem
  24. omnesradii solares ad radios congregatos in circulo RESD;
  25. unc igicur radii congregaci in circulo LPM Qaequales radiis
  26. congregaris in circuloDSER. Deinde ex construaione Rl
  27. eAt ad LM UFK A ad D A; _ ob similicudinem crianoulorum
  28. EAB DAE; HA eA ad DA VE RI adDF; _ ideOLM, DE, funE
  29. aequales; e igitur circuliLPMC, DSER, sunc aequales: acque
  30. xquales radiiin aequalibus spaciis eundem producune ette-
  31. ctum; e proinde combultio in circulo DR ES aequalis elt
  32. combuctioni in circulo L. PMO quod demonstrandum erat.

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 140. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0224?run=74