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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 208

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: 0.87.

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The machine reads it as

  1. 1 m p.1 1 . 11
  2. 208
  3. LA C. V. L V3.
  4. Demonstratio.
  5. Vn enim anguli ad F recti AInE, etunequa
  6. deata AD, CB, Xqualia quadracis A P
  7. P D, CF P. B. Ced iiidem aqualia quoque sune
  8. quadrata AC, D B. igicur quadraris AC, BD,
  9. aequalia sunc AD, C B quadeata.
  10. 1. Oli nt eo
  11. PROPOSITIO LXXVI
  12. Dictutat Suta ADCB, ACDB simul sum pca, dupla este heu-
  13. ea acatera ACBD A.
  14. Demonstratio.
  15. Eatanoula duo ADC B, AC DB aqualia sunE 2 rect anoulo AB CD, sed e
  16. ABCD rectangulo Gualia suncrectangula AP. C, AED, BF. C, BF D, qua
  17. Cmul sumpea b dupla lintt Agura AC BD A, igicur e rectangula ADCB, ACDB
  18. equalia sune rectaS S AF. C, AF. D, BFC, BF:D adeoque ex dupla AguEK
  19. ACBDA. Abulum demonctrandum.
  20. eROPOSITIO LXXVII.
  21. Fceriticerum sele ad rectos in circulo linex AD, BF in C
  22. Dico quaruos quadrara partium AC, C D, C B, C F, simul Cum-
  23. oeaus Guacat amerri esse aequalia.
  24. Demonstratio
  25. Ranseac primo alcera linearum, puta A Da Celcu
  26. circuli, iunganturque AB, BD. cum igicur anguli,
  27. ACB, DC B recti(inE, erunc quadraca AB, BD, Xqu2-
  28. lia quadraris AC, C en de CB, CD sinc CF, CD, (quia
  29. BF. in C ab A D diamecrodiuita est bitariam) scd qua-
  30. dracum AD, quadratis AB, B D quoque aquale est,
  31. cum AB D Cc anoulus Temicirculi adeoque rectus, ioituE
  32. etiam quadracum AD, equale eAequatuor quadearis
  33. AC, CB, _ C B, hoc cA CF, CD: quod tuic primo
  34. demonstrandum.
  35. Ouod Sincurra lincarum AD, BE Cran(CAE pEF Cen-
  36. erum, iuncta AB, delcribatur semicirculus AC B. qui
  37. per C punctum cransibic, cum angulus AC B rectus
  38. POnAEUT ex A, veri diamerer duCaTUF A C OCCurrenS
  39. circulo ACB in F, per quod collocetur BFIT: iun-
  40. sancurque HI C, PD, cruncisituE HC, FD linex a-
  41. deoque quadrara incer c sc aequalia: quia vero qua
  42. draca AB, HI C, Cunc aequalia quadeacis HIF, FC, AF,
  43. FB, id est quadraro diametri A C ve prius ostentum
  44. esti igitur de quadrata F. D, AB, quadraro diamerri AC
  45. aequalia lunes sed quadrata B. D, AB, aequalia sunc qua-
  46. deacis F C, CD, ec AC, CB, igitur _ quadrata RC,
  47. C. D, AC, C B, quadraco diamerri sune aqualia. Quod
  48. Fuic demonstrandum
  49. PR
  50. IIdem policis.
  51. l. a
  52. DPatet es
  53. temensis.
  54. t t tete pe te et s at pet e e ate qe t et e it A a t e te t ite t a t l

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 208. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0265?run=74