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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 221

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: 0.77.

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

The machine reads it as

  1. averbu
  2. ut Eit 3UG 1MIIBS A
  3. S.TEII LCE dEAS:
  4. DCeraque cheoremara, quxe in hisce prolesomenis adteremus, proponi criami ac
  5. demonstraria Sereno Antinsen i Philosophoac Creomerra, Mololecundo de le-
  6. ctione cogi. Omminomihi memoria exciderae cractaram à Screno candem ontema-
  7. ceriam: jam enim agnilunc riginci ee amplius quod auchorem on seerim.
  8. Velimicaque, qui hac leger plasii reum niene faciac; sedcogicet, l demccps tor-
  9. caste quaedam mihi cum serenus communia occurrene, mihicadem, pa DerenO
  10. olim, pouisteincidet
  11. TR orerbacp A3 eb
  12. OPIOSITXYO PF
  13. Ncono scaleno st a vercicesinea ad perpendiculum aetmutatur, a pet
  14. dverricem, cencrumbalis; ac punctum a perpendiculo denoracu pla-
  15. num adacuE, p ilcop il e oyHstan AB EHI
  16. Dicocriangulum per hanc sectionem Factum concinere maximam de
  17. minirmam linearum quae in Cuperkicie conica exhiberi postunt.
  18. Demonstratio.
  19. Riplex est hic catus: vel punctum perpendicu.
  20. lo denocacum incra peripheriam baleos ex-
  21. iltic, rel in ipsa peripheria, vel denique exrra iplum
  22. circulE. Pro primoioicaE Ca(U BONAEUECONUS AB C
  23. e baleosceneruim Fi: vertexaucem B: a quo demis-
  24. la perpendicularis, occurrac balinera peripheriam
  25. in puncto D, perquod ec per centrum, agatur Pla-
  26. num quod pertingac rique ad B coniverticem; ex-
  27. hibebichaec sectio criangulum A B C: nam ex COn-
  28. Aructione coni BA, BC sunc redtxe lincae; octenden-
  29. dum est icaque AB esse minimam omnium linca-
  30. rum, BC rero maximam quae in luperticie conica
  31. existunE.
  32. Ducta quanis B G siponatIE ex G re- l15
  33. eta GDF; quoniam ADC per centrum B
  34. EPANSIE, exIE A D minoc a quam C D rHCII
  35. e quadearum AD, minus quadeato CD: MC
  36. addiroque communi quadrato DB. 5 quar 1b∞,
  37. deaca AD, DB, minora Cunecquadeacis A.
  38. ED, DB. angulus aurem GDB D rectus RAMC
  39. est, quemadmodum e angulus ADB: igi-
  40. cux quadratum AB, aquacur ciquadraris in
  41. AD, DB, quadracum vero GB aqua-
  42. cur quadratis CD, DB. ergo quadeatum
  43. AB; minus est quadraro CB. ergolinca
  44. A B minor recta BC.
  45. Lodem pacto oltenderur recta BC om-
  46. nium maxima: ex puncto quippe quovis F,
  47. S duCacur quaevis FB: _E PeF D PONAEuE
  48. 5
  49. FD, quia AD C peF CenErUM EranSE, sD C maior est quam F F. vnde quadraca d7. terrii.
  50. CD, DB maiora lunc quadracis ED, DB, sed cum rurlum anguli CDB, FDB
  51. Eincrecti, quadrarum CB quadraris C D. DB, ex quadrarum F B quadrais FD.
  52. ADASE CIZEOM ES CIONY
  53. eA
  54. b oup ni Eitris exuxili Si
  55. anlu he zygeresoib
  56. er odito sid A.) OuL
  57. D_PMM
  58. ED EisC ZL SIB
  59. 5i
  60. 2. criu.
  61. e L dblia
  62. 13
  63. 15
  64. 22e2
  65. 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 221. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0278?run=74