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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1003

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: 0.84.

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

The machine reads it as

  1. NOVLA CZLLHDRICA.
  2. Demonsratio.
  3. Dpunctum A in quo B A concingic peripherian
  4. LbalIS K AF, ducacet Centro recta L. A.. Suo
  5. niam exhypochenrectus elterlindrus, LA cxlindri la-
  6. tus ae balim R A R rectum cric. CFgO L A ad F A, nOr
  7. malis est. Est vero P R 2 eciam normalis ad B A. ErgO
  8. T A ad planum cansens BGF A recta b cst. ergo
  9. temidiamerer baseos est alcicudo prramidis BCF AI
  10. Fodem modo demonstrabicur lemidiamerrum baleos co-
  11. munem esse alcicudinem omnium prramidum, quarum
  12. bales lunc plana rngulam tangencia, ap ex verO Centrum
  13. L. cum erso pyramides xeque aleae, sinc rebales, crunt
  14. omnes illae prramides jua solidum ongulam includens
  15. componur ad prramidem cuius basis est quadracum R F.
  16. alcicudo Cemidiamerer LK Cinc P A, ve omnia plans
  17. ambiencia rrigulam, ad guadracum R F. led omnia pla-
  18. na ambiencia, dempris duobus criangulis laceralibus, a
  19. quancur c quadrato KF. Ergo omnes illx pyramides,
  20. dempris duabuslaceralibus, hoc estcocum corpus rngulam includens; mulctarum
  21. duabus laceralibus prramidibus, xquatur prramidi cuius balis est quadrarum, K I
  22. alcicudo semidiamerer L K. Ouod crac demonstrandum.
  23. PROPOSITIO LX
  24. lx sine binx ungula aquales ac similes 2 cylindris recris abscista.
  25. LGuarum alticudines Mucbalium diameeris pares. Circumlcribantur
  26. auccilrerilqi corpoluaca tenum propolitionis pracedenris, (IC ve co-
  27. rum lupelticiesau planorum cangencium numerum complecran-
  28. cur; vniuis, exempi salla, luperticies continear decem plana cangenria, al-
  29. reriusmille:
  30. Dicoraque illa corpora visulas includentia, mulerata pyramidi-
  31. buslaceralibus semver ese xqualia.
  32. Ldco
  33. i
  34. Xprecedeni eltmanitesta, lingula enim aqualitur Pramia curs vaus cu qua
  35. dratum diamerri balcosrngulx, alcirudo autem lemidiam eret eiuldem bale05. c. 17
  36. 13. 31. 2)C OEC) AE 2) E
  37. Semonstrar
  38. c 43. huius.
  39. St 11
  40. PROP OSITIO LXIV
  41. Aexe sinebina vrigule à cylindris receisrelecrx, quarum alcirudines
  42. nc diametris balium agates, vales autemme qualeicunque, ldc
  43. aequales nimirum sive inaequales. I.
  44. ab ae
  45. SICoCorporarngulaS CETA LIHICLLALALELALBUS pyFaMIAIOUS cri-
  46. plicaram incer le habere racionem diameerorum balium ungularium.
  47. edatt onslat
  48. DEmonstearumenim el, a corpora illa aequari pyramicibus que bales habene asc tuiui-
  49. Quales quadracis diamerrorum scracu valum, de alelcuames Cemidiameeris
  50. pares. lsicur quam racionem habebune prramides illa, candem quoque habebune
  51. corporai

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1003. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1060?run=74