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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 968

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. Onantur AB, B C aequales linee obcendentes arcus AHB, BGC, de
  2. ccCcu t a B, BC, quae axi linc parallela.
  3. Dicolesmentui rngula AR BF. O A
  4. ad legmentum rngula BSCDF, cam
  5. obcinere rationem quam haber linca
  6. FII ad lincam OIE, quae normalicer
  7. ducuncur ad diameerum AL. diuiden-
  8. res arcus AB, B C bitariam.
  9. Demonstratio.
  10. IEprimo BC paraIIela diRMCErO AL, &t
  11. planum ponatur Per R cencrum baseOS
  12. quod bisecet arcum AB in FI, ec rectam
  13. HIO producar in cylindri superticie; in pla-
  14. no aucem cMliprico ADL, rectam RO, de-
  15. nique in plano AB F rectam R MI: ex cuius
  16. cermino M polica MNV, quae aquidistceR FI
  17. sectio hacper lineam NM parallela AB, e
  18. planum candem duCaTF YOV PCFKO, d
  19. rectam VT parallelam ad AB, ostensum
  20. est scomencum vngulx AVOTB equari
  21. sCsmEntO AOEB; octensum quoque cA
  22. AVNOTB, scomencum ad legmencum
  23. BCD C cam racionem habere quam habee
  24. TTO linca ad lineam C D: est aurem HT ad
  25. GK. ve (TO ad GD, cum (B, _ K D sinc in eodem plano: sinci; criangula LH O.
  26. ROD Cmilia Lsicur manifectum est segmencum AOE B ongulare ad ongulare
  27. seomentum BCD C eam habere rationem quam linea HI ad CK. Ouod Fuie
  28. demonstrandum. Ouod A B C non sic parallela A P. Hac parallela quedam quae RC
  29. aequalis AB e concinuata constructione praecedenci comparetur verumque legme-
  30. cum AOFB, _ BE D F C cum seomenco illo quod haber rectam aequalem ipsi
  31. AB parallelae diamerro, acque ita veriusque rationem invenier ad illud segmentum
  32. cognicam, ac proinde eriam inter le.
  33. PROPOSITIO LLL.
  34. VEmiceu, Gurbalis estongula, inscribacur dimidium hexagOn
  35. regularis per cuius latera AB, BC, C D plana pONANEUF, quae Xqui-
  36. distenc axi cx lindri, Formancia segmenca vngularia AIB M, B HI HENC,
  37. C NGD.
  38. Dicolesea risaale abrenta pranoe eti ene ad rengua uo
  39. lesmenta limul sumpra, verecta F HI, que exmedio arcus C B puncto C,
  40. ducitur AD diamerro normalis, est ad duas limul lineas HII, GO, qua
  41. exmediisarcuum B A, C. D punctis lunenormales eidem diametro AD.
  42. TNGVLA CXLINDRICA.
  43. PROPOSITIO XVIII.
  44. a26. 1t 1 102
  45. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 968. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1025?run=74