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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 300

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: 0.86.

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

The machine reads it as

  1. 9. DC
  2. islo
  3. b77. Mottis.
  4. L. LIPS
  5. 30
  6. Constructio es demonstrario.
  7. Inc ABC cllipis axeS AB, C D: Cenerum F: racio
  8. vero daca maiOrIS A minus E ad C, quam non ma-
  9. iorem esse oporcecratione axium AF, P C. C rario da-
  10. ta aqualis est axlum racioni; res pacec: sminor, luman-
  11. TUE HLT, TK lincx, tectis AE, F C equales, ponan
  12. curquead ansasum rectum HIIK: ductaque HK, e
  13. divila bitariam in L, cenero P inceruallo L. HI circulus
  14. deseribacur FTIK qui cransibic per puncta Lex K, in
  15. Segmento dein HTIR inclinentura dux linex HIFK ha
  16. bences datam rarionem F ad C. Ouoniam igiturFIM
  17. eAtiad MR vEF ad G7, eAtque rario F ad C, minor
  18. ratione axium, hoc est ex constr. rarione TIL ad TK,
  19. pacet punctum MI cadere incer L _ FI, adeoque re-
  20. etam FTms minorem quam FTI, hoc est quam R A, rC.
  21. etaM VeTO MI K maioreni quam IK hoc eA quam P C
  22. centroisieur F inceruallo FIMI, descriptus circulusle-
  23. cac elliplim in puncto aliquo NT inCeF A _ C, duCATIF
  24. igitur diamecer NF, eiq; coniugaca R O. dico NL,
  25. OF diamecros sacistacere pericioni. Juoniam quadra-
  26. tA NF, O F b sunexgualia quadraris AF, F. C hoc est
  27. FTI, TK hoc est quadraTIS FTM, MIR S SICAUECM ANF
  28. lincaxqualis recta FTM. Crit _ OF linea xqualis li-
  29. REx MK. IsIEUT VE AIM ad MR; id cA ve F ad 6, IC
  30. Demonstratio.
  31. PROPOSITIO CVIII.
  32. N daca ellipli diamerros exhibere coniugatas in darararione.
  33. NF ad OF. exhibuimus ergo, eec. Ouod cracFaciendum.
  34. P R OP OSITIO OIZ.
  35. LECCE A C D elliplim guauis diametrorum coniusario AB, BC. a(-
  36. aCumproque inperipheria puncto quonis D inFeF A _ C, aGAEUF PCF
  37. D contingens EF, quae cum AB, B C lineis COnCUETAEIN F. _ F, cud
  38. percentrum utut aa 2.
  39. Dico DF, BC, D E. lirtedsete Ia conrinua analo 8la.
  40. Corol. 60.
  41. : 102. hs -
  42. crune similia, ac proinde DF cs ad BC, ve DH 20
  43. niam ex hypothes DF, BC Tune paralleIX.
  44. riangula DF LL, BFTC, re ex elementis paret
  45. FIC: hoc est verriangulum D HB ad crianguluBL1C
  46. Deinde, quoniam B C percencrum es eangenti DP
  47. Parallelas liquer cam coniugacam ese diametrum ipli
  48. DB: Cunc vero extiypocheli etram AB, BF conivga
  49. tx. Ergocsectores BDCC, BADC, adcoque d es
  50. criangula BDG, BA C aequantur: Ouorum bales
  51. DO, AC, cum cproporcionalicer sinc diuila in II d I,
  52. sc xquulla. eCum priusoctenderim DF esc ad BC
  53. DE D FT sic ad FTG, Sicur C T est ad IA, ConstAE Ex
  54. elemenris triangula BFTD, BTC _ BFIO, BIA el

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 300. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0357?run=74