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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 311

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. ett
  2. cedt
  3. irct
  4. Et
  5. E L L IP SIS.
  6. 3II
  7. guli aequales: sed an gulus C C F. per demonstrata in 121. huius aequalis est angulo
  8. E A. igicur e angulo CTIF aequacur angulus ATIE; addico ergo communian-
  9. b a e A C tecto agualis angulus AEIC, quare ex iple rectus
  10. l. CllodeFaC demontrandum.
  11. PROPOSITI
  12. CXXVITI.
  13. Elipsim ABC cuius aris A C conrineane in A, C, B, Ma I B
  14. cempolit, e cenerum El ductasueea Lielca fB ad punctum con-
  15. aCLUS aucatur ex FI linea HII parallela rectae FB OCCUErENS F D linex
  16. AI.
  17. Dico Hllineam aequalem linex ITC, d (I FIL OcCurrCNS E: D recta,
  18. C aqualis HlC. dico HI lincam ae quidictare F B.
  19. CE, DE, ac D E quidem occurrat AD, C F lineis in D d F: Cinc
  20. Demonstratio.
  21. tat BI aequalis IR: iungantUrque BG, GK, de rectae dueaneur AF TC: Ouo-
  22. niam TB, LR sunExquales, erir BI ad TR, vE FFI ad FTC: adeoque BF, K C
  23. lince parallela, et angulus BR C xqualis angulo DBF, hoc est a IBCr: Quare ausc huins.
  24. B C, CR linex aequales: sune aurem e duo reliqua lacera BL, IC aequalia
  25. duobuslaceribus RI, TC. Angulus ergo BTC, aequalis angulo RIO: adcoque C I
  26. lineanormalis canrenti DF, e angulus ATC rectus. quare circulus cenerO HI in-
  27. ceruallo TIC descripcus cransibic per Y, crieque FI I linea a qualis linex FIC. Quod
  28. cracprimum.
  29. Reliquis manenribus, sEiam FY Z linCR quX OCCUEEAE tang enti F. D in T, aequalis
  30. linex HC. Dico FII rectam aequidistare linee BF: sin vero; ducacur ex FI linca
  31. ETL, Parallela rectae FB OCCUErCNS F, D tangenti in L;ericigieur FTL linca aqua-
  32. lislinex FT C, hoc es FTT. quare circulus cenero FI interuallo FTC. descriptus eran-
  33. Elic per Id P puncta. Ouod impossibile: isicur HIL non csparallela iphi FB: nCC
  34. Juxenis alia: precer HII lincam. Ouod erat demonstrandum.
  35. PRoedo111 BaatL.
  36. IE ABC ellipleos axis AC, poli aurem
  37. et D _ L rectae inAectaneurDB.
  38. convemences in puncto quodam peri
  39. pheric B.
  40. Dico DB, E. B lincas limul Cumpras
  41. quatdat AC.
  42. Demon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 311. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0368?run=74