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[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 109

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. 256let; _ proinde eritineum GO L. L C( 10241c3 F. F28I54 of
  2. 6256+-
  3. 187562, 62563
  4. 236le5, de ideo recta AF cM ad curuam AF veba (Cu rect an
  5. 3T2564
  6. Gulum ACNF ad bd F cd - 20241C3 - 1281c4 = 2561c5 (CU
  7. 1875b2 62563 312564
  8. mixcilincum ACL C, dacur isicur recta xequalis curvae AF, quae
  9. invenienda erae. Quomodoinveniatur luperticies Facta ex
  10. FOEACIONE CUrVX A F. circa rectam AC. Cuidens eAt ex huius
  11. 45. Quoniam ex huius 57 Facile est invenire centrum grari-
  12. cacismixeilinei ACTF. quod sin aequacione reductu, ex vna
  13. parce invenea fuissee non 2 (cd 22 (quod semper accidit, I
  14. racio FF ad C.D sicmulciplicara racionis AE ad AC in racio
  15. ne numeri paris ad numerum proxime minorem) invener
  16. fuisset eancum superticies genica ex roratione currae AF
  17. circarectam AC, VEpaTCE CX hUIUS 23 _ 43.
  18. P R O P. 59. Y E F O R E M A.
  19. IE paralleloorammum ABF E, AEque CuErS F CII calis
  20. nacurx, vi(ductarecta quacunque C Pacallela recta
  21. A B CUrrAM FFI sCCanCE in C e rectam BF in D) racio AB
  22. ad CC sic mulciplicata rationis B D ad BF in rarione Pad.
  23. dicoparallelogrammum AB F F. esc ad figuram longicudi-
  24. nC InANIEAM ITAEFCIT VE(=Pad G. producatur recta BF
  25. In M _ dUICACUE CUEDA MKHIcalIS nacura, re (duccta recta CL
  26. EANSEnEC Curram FC II in quolibet puncto C e ductis par
  27. rallelisC Cg KI) recta CK lic ae qualis _ parallela recta C P.
  28. manifestum cA ex huiuS7 rectam AC ad CI vel L C ad GK
  29. esse re P ad , cumque hoc semper Aacs euidens est fguram
  30. TTEBH CNC 3a AGUTAM HI FMFI uE P ad C, acque ex huius
  31. ZF AGUTA EY FM EI CH ae qualIS AGUrA H AE PH, de idco
  32. AgUTA EIA F FH CIE ad AOUraM EY F BH VE C adt P) 8 per
  33. convertionem rationis, HL A F HL Clt act PAFallelOGFAM.
  34. mium

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 109. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0193?run=74