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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 25

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. POTEN TIF.
  2. P ROPOSITIO XZZ.
  3. Acoangulo ABC, e D puncto extra li-
  4. neas datas: rectam D F ponere quae rectas
  5. EB BF auterac, in daca ratione C ad FI.
  6. Constructio ex demonstratio.
  7. TTac vEG2d FT, ica B A ad B C. iunctae que AC duCaTK
  8. DF aequidistans: pacet ex elementis factum esse quod
  9. DCCIEUT.
  10. P R OPOSITTO ZXXI.
  11. SEo ABC trianouli BaIIS AC; qua diuisa in D, vED E recta aequi-
  12. distans lateri BC, media quoque SIC, inFeF A D, D C: duCaEuF quX
  13. vis GF, parallela basi A C, occurrens F D linexe in FT.
  14. Dico GHIF rectangulum, aquari rectansulo DF II.
  15. Demonstratio.
  16. Sc enim ve A D ad DB, SiC GTTadFTF;
  17. Lquia AD, CFT linex requidistane; sed ve
  18. AD adt DE, sIC D F es ad DC, ex hy-
  19. Dochel; ergo eciam veOTI ad FTF, ACDF
  20. ad DC: est aucem FI F ips D C a aqualis,
  21. igitur ve GFT ad HIE, sC D F ad FTF: e
  22. OFTF rectanoulum, b aequale rectanoulo
  23. DE FI. Ouod fuic demonstrandum.
  24. PROPOSITIOZZXII
  25. Sto ABC crianguli balIS AC, Bifariam aIMIIa IM D; act àque per
  26. sD linca F F, occurrente crianguli AB C laceribus, in F _ F, du-
  27. cacur quadam HIC varallela recta F. F, ve IIL illius dimidia, media
  28. quoque SIEInECF F. D _DF;
  29. Dico CBHI criangulum, aequale csc triangulo ABC.
  30. Demonstratio.
  31. Cti perD ex Y, linea KE, eri-
  32. LLoantur ex Ie D linCOTML, DN:
  33. ec IMTquidem laceri C Bi D N verO
  34. AB laceri paraIlela. VCFD ad ∞ 1,
  35. sc GT est ad D F per hypochesim,
  36. scd ve FD ad GF, sic DK est 2d
  37. TK, _ VETFI adDF, SCTF ad
  38. DL, IgIEUT DE DR ad TR, siC TL
  39. ad D L, e diuidendo veD Tad TR,
  40. sC DP ad DL: Quare IK, DI. li-
  41. nex Cunc incer sc aequales. dc
  42. proinde cum (ve ex constructione
  43. DACCE,) criaNSULA RMT, DNTP, Cin-
  44. gula criangulo RBL Similia AINE,
  45. crune e incer se Cimilia, adcoque
  46. (CuM TK, D I reCtR AQUeNEUT) crunE
  47. de inter se aequalia; Lacusque RM L
  48. +.Lrimia
  49. B17 Sexii
  50. lacexi
  51. ruimi.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 25. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0082?run=74