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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 141

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: 0.83.

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

The machine reads it as

  1. eriam
  2. Maa
  3. ei
  4. Peree
  5. qu
  6. Quod
  7. onin
  8. A6
  9. naC
  10. R
  11. ian
  12. ecta
  13. A
  14. C F OMELLLC
  15. Demonstratio.
  16. Blinearum AF, BC. CHI aequidistantiam, angulus F AB, angulo GBC,
  17. XCF A, angulo HIGB, e BCF, ansulo CHIC, e ABC, angulo BCFB
  18. usclaceoe decei ltle cle ccllla etcan l
  19. eD dl BC, a e BC adCD, DE AR ad BK. Cum igicul enam A (IC 24 = l haus
  20. CB, HEAk ad BR, CrIC L A ad CB, ve AB ad B C, e permurando L A ad A B,
  21. De CiB ad BC: limilicer cum AB scad BC bVE AK ad BK, hoc es extiypochC- bIbi.
  22. IL, DEBK ad CR, hoc eA ve B C ad HC, CM PCTMIMCAHCO ALB au BO, VE BC
  23. ad CTI: non alicer eriam ostendemus B C essc ad GF, ve CHl ad H, L F
  24. 2d F A, VE FIC ad CFB. quare cum trapeziorum F B, CC ec anguli omnes sInC X
  25. quales, ee latera circa aequales angulos proportionalia, Prapezia c F B, C C d omnia cD,f. 1. Sox-
  26. reliqua, erunc similia. Ouoderar demonstrandum.
  27. PROPOSITIO
  28. Ata sic quadratorum series, Habens BalES IAITCCFIMI, d TermInuM
  29. longicudinis IE, inscripta criangulo AGIE; ac primi quadrari la-
  30. cerc L. MI bilecto in F, per F ducatur recta FK, occurrens ipsi A C in I.
  31. Dicorriangulum AIK seriei quadratorum; criansulum vero LOK,
  32. Ccricicriangulorum L. G M, TM N, Xc. Xquale esse.
  33. sF, _ S. NI, LL Cx ly.
  34. Pocheli sinc parallela, Pacet
  35. criangula IF L, SFM a
  36. qualiaese, ac proinde ad-
  37. dito communi ALF SB,
  38. crapezium AISB quadra-
  39. 20 AM aequale. Doinde cu
  40. Percorollarium propolicio.
  41. nis12s huius, proorestionis A
  42. basium AB, BC cerminus
  43. AIE R, CEUINEd AR, BK, _C.
  44. continux: quare cum etiam AI, BS, CZ, Qc. Sinc parallele, crunc per lemma, era-
  45. Peria IB, SC, X D, Xc. similia incer sc. vnde _c erapezia IB, SC, XD, _C. Tunc c20. Soxst.
  46. in duplicata racione lacerum homologorum AB, BC, CD, _c. acqui ee quadrata
  47. AM, BN, C O, ec. sune in dictorum lacerum duplicacaratione, ergo trapezia sunc
  48. quadratis proporcionalia, ee reprimum Ecrapexium TB, ad primum quadearum, ita FI2. sexri.
  49. coca crapeziorum series, ad quadracorum seriem. Acqui primum crapezium, oltendi-
  50. musprimo quadrato aqualceste, erso craperiorum eriam e quadratorum leries
  51. equalessunc. Deinde Seriestrapeziorum s G B, M C, ND, consticuic criangulum 5138. hu-
  52. GK, ergo e series crapeziorum IB, SC, criangulo ATK aequalis crit; GuarC
  53. ansulum AIK, quadracorum serieix quabicur: Quod erac primum; ex quo eriam
  54. Daceclecundum. qua erant demonstranda.
  55. LCdstati
  56. Vm L M bucca M
  57. PROPOSITIO CZLII
  58. etum, ee cerminum lonsirudinispunctum l; licque leriei racionis
  59. D Plua. aelertiam C. D, ae qualis linca V I. linea vero Y Ccricirarionis
  60. AB Pa, da CF Guucam sic xqualisi
  61. Aca Cic planorum limilium series savens vales Homorosas iume
  62. 82. hroins.
  63. Dico

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 141. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0198?run=74