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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1017

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: 0.88.

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

The machine reads it as

  1. YNCVLA CLLLADKFOA.
  2. 1027
  3. Demonstratio.
  4. Vod IFatium parallels circulis AEC, ODO comprehentum aequale sic cit-
  5. Erculo cujus radius meciam proporcionem hiabeac incet lincas. A O _ OT, AF
  6. Simul sumpeas,non incendo demonstrare, cum id ab Archim ede libro primo de (phxe.
  7. ra e cylindro propolicione decima lexra sic demonstrarum. Superest igicur hocip-
  8. sum demonstremus de Agura MR S N, quod illa scilicec regualis sic quadraro medie
  9. proporrionalis incer lincaS MI R, e aggregacum ex duabUS M K, R V. hoc aurem AC
  10. Ostettab.
  11. Duoniam extyportieh exlindrus ex quo delumitur rngula, rectus est; erie lacus
  12. cxlindri rectum ad Basim OFTL, adeoque per definic. 3. vndec. angiilus NNTL rC
  13. etus est. Ouia aurem parallela plana ex hypoctieli NM R, S R V sccac planum
  14. NML, crunc communes lectiones NVM, S Ra ParallelX. cum igitur anguluS NM K a1S. Vudéc.
  15. rectus lic, criam S R V rectus etic; crapezium isitur MNS R rectangulum est ad
  16. balim suam MR. hac igicur in X secabitariam, ductaque Y Z. Parallela ad M N,
  17. NS, Cric rectangulum MR, YZ aequale crapezio MN SR, quodcacim pasec, si
  18. pet Z. ducacur parallela ad M R occurrens rectis MNI, R S. recta quoque Y Z crie
  19. dimidia summe rectarum MIV, RS, quod eddem constructione facta nullo eriam
  20. negocioliquer. lam vero quia LFI alcicudo ongula ponieur aqualis diametro ( L,
  21. crie hec dupla semidiameeris adeoque _c NM dupla b ipsUS M K. CumigiEUEN N, B Exde
  22. SR sincparallelaes eriam S R dupla eAt R V. Ergo Z Z dimidia summa rectarum monstr. 41.
  23. NVNI, SR, aequatui rectis MK, R V. Ergo rectangulum (Ub MR AE MKR V, hoc huius.
  24. est ouadracum medixe proporcionalis inter MI R _E MR, RV, aequatur rectangulo
  25. M RE, YZ, hoc est reance octendi, plano MNS R. Guod erac demonstrandum.
  26. Priu(quam hic manum collo decabula, ve sphaera acque rnsulae admira:
  27. bilis similicudo clarius incelligatur, communes veriusque proprietates
  28. praecivuas rnum Cub aspectum Lectori dabo.
  29. Symbolizationes oncula cylindrica cum sphara, primocirea
  30. Colidorum rationem.
  31. P R Y N A.
  32. Vemadmodum ingula a vngulam in criplicara est rarione lace
  33. um homolos otutu, lea quoque lphaera ad sphaeram.
  34. Seomenta ongularia ex sphxricaram ea guxe planis ad diamerrum rectis
  35. abscinduntur, quam ea qua ad cenera consistune eandem incer sehabene
  36. tatiotem.
  37. semihexagonilincas plana tanc axi xequidistantia, idem quoque preste-
  38. curin lemicireulo maximo (phaerx, ex hixec figura circulo inseripea in or-
  39. bemagatur producens conicas superlcies; in cadem rarione (ecte erune
  40. e vngula e (ptiera:
  41. Duemadmocum pracetomococcaara ae luam parcem inscri
  42. pram habecrationem octoad lex: ira quo que sphiara ad siguram in seripea
  43. habet proporcionem octo ad sex.
  44. Ouod sibali rngulari Semihexasonum inscribatur, et secundum huius
  45. Sieur
  46. e ss. A. A . e e . B H. 1 et ets. st 1 s . et u 1a e 11 . ur1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1017. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1074?run=74