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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 962

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.

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The machine reads it as

  1. 962
  2. TNGYLA, CYLIND R 1O A
  3. quaenis FI in cylindri superticie extii
  4. bons commutes mtellectiones cum
  5. planis poncis puncta 6, l1, 1.
  6. cotC aqualem elle line lL l.
  7. Demonstratio.
  8. Atam TF adC Pracium paralleru pla
  9. CBM, Faciens cum plano CDB sC.
  10. ctionem lK, cum plano CDL Mcctonen
  11. RL, cum plano C LCB lectionem LV.
  12. Duoniam isitur planUM CDP, CCCaC du0
  13. plana parallela KFL, CBM, crunca lectio-
  14. RCS RF, C B parallelae. Kurlum quia pla-
  15. num C F C Blccac duo plana parallela R si l.
  16. CBM, crunt sectiones IG, CB eriam pa-
  17. rallela. Para llelae igitUr BSUINERF, I. C. DC-
  18. inde quia plana parallela RF L, CBM sCCAE
  19. planum LD C, crunt sectiones communes,
  20. nimirum RP, ee axis cxlindei, aequidictan-
  21. Ees. Fed eriam lacus F C axi eouidistat. ergo
  22. RL, F C aeguidistanr. erg0 C+ FR L Paralle
  23. logrammum elt. ergo FC X qUatUFK L. Iun-
  24. sancur deinde CMI, RTI. Duoniam plana
  25. Barallela IRHI; CBMI lecac planum
  26. CL F LM. crunc commun ectiones T. I, C MIparallolX. Rursum quoniam plana
  27. parallela RFFL, CBML lCCAEplAnUM CKD HIM, crun sectiOnCS RFL, CM p2-
  28. rallele. ergo etiam L. I, R EI Cuncparallelae: lune aucem d FII. K I. supra oAtenlx pa-
  29. xallelae ergORFTIL Paralleloorammum est. ergo HII aequalis cst, R L. sed eciam
  30. octendi supra PC equari K C; Equarur igicur PC; HT J. Ouod erar demonstrandum.
  31. Corollarium.
  32. TOcahac propostionem prorsus esse viiuertalem; vera estenim, siue A B, diame.
  33. cer sccirculi AD BC, sine quae daiti eixquidistatis, vepacec demonstrationem
  34. consideranti.
  35. PROPOS
  36. 191
  37. x1O. 1X
  38. Sro cylindeus cuius balim diuidac diamieter A B: ex CEHErOD erig a-
  39. scurnormalirer C. D ad diametrum AB: per C vero ponatur in lu-
  40. perticie cylindri C. F recta linca: deinde agaeur planum per AB, de pun-
  41. ctum quoddam E, in recta CF, extribens sectionem ABKF. polica
  42. denique in cylindri luperticie recta BHI, ducacur planum per C D, 8
  43. quodlibet punctum HI in recta B II, tandem per D F. rectam e idem
  44. punctum HI sectio RatD F. GII.
  45. Dicorngulam exlindricam D BFCE K B aqualem esse Colida ma-
  46. snicudini DHICE GFI.
  47. Demon

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 962. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1019?run=74