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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 77

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. d
  2. 2
  3. E
  4. 3
  5. GF O N E TRIC A.
  6. Construmo e atmonstratio.
  7. Aex sinc duc linex AB ec B C, quarum
  8. alceram lcilicet AB, oporreat diuide-
  9. e In D puncto, DE AD, DB, BC sinc in
  10. corinua analogia. pro constructione, (upCF
  11. BC diamerro describatur circulus, icem
  12. super linea AC, compolica ex duabus da-
  13. eis AB _ BC. qui linE BF. C _ AF C,
  14. ex ex puncto B crigatur perpendicularis
  15. BF, ad rectam AC; duCAEUEqUO EX F
  16. puncto, linea FI. Per cencrum minoris
  17. circuli C; hac denique rectae CF, X qualis
  18. CD. Dicotactum esse quod imperacum fiic: quonsam quadrato F B tam aequLaTUE
  19. rectangulum AB C. quam = F FI, hoc eA BD C, crunt BBC, ABC LCCHOI erc.
  20. aequalia incer se: Ced AB C rectangulo aequantur rectant a ADBC BC; a
  21. BDC rectangulo aequarur rectangulum DB C, vna cum quadraco DB: dempio
  22. isicur communi rectangulo DBC, manec DB quadrato, aequale rectangulum
  23. ADBC. isicuc AD; DB, BC Canc concinua.
  24. EX linc AB, CD
  25. quarum vna CV
  26. Iea Cecanda sIE in F,, VE
  27. AB, CB, P. D sinc in
  28. analogIA COMFIHUA.
  29. Constructio s a
  30. monstr alo.
  31. SIUIPEA LEr MIICd
  32. LLmaiori quam AB.
  33. hac super FGeanquam
  34. diamerro circulusLiICr
  35. deinde (quod ex cle-
  36. mentis Facile perHCI
  37. cur) rectangulu GHIF
  38. aequale Aat rectanenlo
  39. ABCD; _ expucto FI
  40. ica duCAEUE FIRL, vE
  41. Aliter.
  42. RI aequalIS SE A B (quod ab aliis Factum, et nos libro nostro de circulis alia aeque
  43. alia methodo praestabimus) denique ex R crecta normali RL, aequali iph CD,
  44. praescindaTUF ex K L. (ostendam enim cNemaiorem) linca KN, aequalis ipAI HIR.
  45. Dieotactum quod pecebatur.
  46. Nam rectangulum b IF R aequacur rectangulo CHIF, Id est ex constructione rC. B 36. Sentio
  47. ctangulo AB C D, id eAt rurlum ex constructione PRL, ergo ve III ad KI, ica eAt
  48. reciproce RI ad R II: acqui IEI maior cA quam IR, ergO e I. R, quam K HIma-
  49. ior erie, quoda umpcum fuerat in constructione: perticiancur iam rectangula ITIR,
  50. TK L. ductis per N _ L parallelis ad H I, ee normalibus HIME, IO P. Ouoniamisitur
  51. rectansula TN, TE aequalia lune, ablaro communi KO, roliqua OL, KMt xqualia
  52. CEUNE. DUaFC CUM KMI (VE Cx ConStruCtIOHC PATCE) NICGLadFAEUI, CFUINENO, RN.
  53. EN cres concinue. Acqui N O est K I, hoc est AB; _ N P. eA C D. Factura igicur est
  54. quod petebatuE.
  55. deno.
  56. 11
  57. h
  58. 111
  59. LIIIII

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 77. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0134?run=74