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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 355

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: 0.87.

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

The machine reads it as

  1. ELL IPSTS.
  2. Constructio e demonstratio.
  3. invenire diamectum comgatam ipti A, quam
  4. cum daris axibus oportet in cadem collocare ellipa.
  5. AXCS ED, BC ad ansulum ponaneur rectum F CB,
  6. iunetaque BP, super ca lemicirculus delcribatur
  7. E CB, in quo daca, A aequalis apFeTUE P F, ducacuTGs
  8. FB: quoniam isituE F C, C. B axium quadrata aequa-
  9. lia sune quadearis cuiuluis coniusationis in ellip(, c2-
  10. demque axium quadeaca aegueneur quadratis R. F, F B,
  11. _ F F aequalis A una sic ex diamerris, recta FB di2-
  12. mecer est coniugata FP: exhibuimus isitur didmetro
  13. A, comuertum, quod primo taciendum fuic.
  14. CTE A diamerer data, _ aXCS daci BC, D E, OPOTFeE
  15. Tunganeus deinde arium exerema DB P. C qua parallelosrammum extribeane
  16. DBE C: cui aquale hat parallelogrammum = IHI R C, quod IK, OHI diamerrOS a Perele-
  17. habear rectis D F, F B aequales. daca isicur diamCerorum LR FI C coniusatione, menca.
  18. extribeantur positione aXeS B L M, NY O adeoque e cllipsiS L. MIN. cric illa ae qua- b ge huins
  19. lis ellipsi BF. C cujus axes daci sune BC, F. D; cum enim per extrema coniuracio-
  20. nis posirone darx, vnica raneum cellipliS Fran (CRE, _ LK, C FI coniugatio policio- c 1bid.
  21. ne sic in ellips L. MIN, cademq; pertineat ad cllipsin B R C, cllipleS L MNI, BF C
  22. ad eoque _ aXes aquales simE: ellipsS igitur L MN, illa est in qua coniugacaS R P,
  23. FB, id est IK, C H polirione cum dacis axibus BC, DB, id est L M, NO collo-
  24. care oporrebat.
  25. PROPOSTTIO CCVI
  26. cala ellipsi _ circulo IIIdM
  27. incerlecante puncta inter-
  28. Cectionis reomerrice exhribere.
  29. oporcet aurem circulum de ellip.
  30. lim idem habere cenerum.
  31. Constructio es demonstratio.
  32. ILlipum AB C cuIuS CenErANI D3
  33. incerlecet circulus AB, CF, 0-
  34. porcer incersectionis puncta exhibere.
  35. quoniam igitur circulus _ cllipss
  36. COIMUnO HABCRE CCHErUM D, ( CX
  37. illo ad incerlectionis aliquod punctum
  38. 323
  39. iatsii

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 355. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0412?run=74