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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 121

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: 0.82.

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

The machine reads it as

  1. _ EDMEFRLC AS
  2. GHT BC REMD E NOPF C
  3. DROpOSIEX SnEeres, auc plures magnicudines AB, CD, E F, et rario O
  4. ad R guacumque, minoris ina qualicaris: Auferantur a lingulis A 6,
  5. CR, E. N ita ve ablaTa AG, CR, L N, Sinc ad lua eoca, inratione O ad
  6. R X incadem ratione ad R inter se continue proportionalia;
  7. Dicolihoc lemver heri postic, propolicas magnicudines AB, CD, L. F
  8. esse in continua analogia.
  9. Demonstrat.
  10. Via ex hypochesi AG es ad AB, vE GFF ad GB, etic eriam reliquum G B a 29. uin-
  11. Lad reliquum EIB, vecoca AB ad coram EB, CuncisituIE AB, CB, HIB et co-
  12. dem discurlu eciam IB reliquae que in infinicum continux proportionaless onde ce-
  13. iam b ablaca AC CFI, HIT Xc. Cunc in concinua analogin, de ccerminus huius pro- Br. Huius.
  14. BrecionIS AC, GFI, _C. eA B. Similiter oltendam abIATA CK, RL, L. M, _C, esse C73. huins
  15. in concinua analogia, culus cerminus sIc D. ex quoniam ex hypocheli AC est ad AB,
  16. VE O adR; _ CK ad CD, VE ad R, CrIC A G ad ABVE CK ad CD; e in-
  17. verrendo ac per convertionem racionis AB ad G B, VE CD ad RD. ACqui AC,,
  18. OF, FII, 8C. Cunc d concinux proporrionales in racione AB, ad GB; hoc est d 6. hminti
  19. reiam ostendi C. D ad RD, e per eandem CK, R L, dec. sunc eriam concinux in
  20. racione CD ad R D: IBIEUE A G, GFI, _C. CR, X L. 80. limilium racionum (0.
  21. riessunE. Ouare AB est ad CC D, vE RC ad C R. Similiprorlus discurtu octendam c8+. huimo.
  22. CD, CNC ad P F vE CK ad F NV. sunc aurem ex datis AO, CR, RNF, eres concinux
  23. proportionales; ergo et A B, CD, P P in concinua sune analogia. Quod cracde.
  24. monstrandum. csic
  25. P R OPOSITIO CXVIII.
  26. det
  27. erati
  28. eROPOSITIO ORIK
  29. 1111
  30. 11.0e
  31. pe
  32. ldata qualiberprooato a Gaca al B, CoMuetur
  33. perperuo; deuenictur aeea inorem.
  34. Demonstratio.
  35. b: .t. C 22 3e diti Sd E+ BeCBEIEEFFSE E
  36. dOnatur enim magnieudo quaenis F; _ HAE F ad aliam J. ve B ad As continue-
  37. curquerario I ad C donec por lepllasena lopeimam hurusiabeaut K Ma
  38. llat t llallaniled.de Del colldem cetmnos concinucine raclo L da
  39. e el quatu. el onum vi A ad B, lic C5ad. ti; ecveBadC. Hc
  40. AL ad. Cr, C. ergo exaequo in proportione perturbacas veA ad B, he K ad F, sed A
  41. minor est quam R, ergo _ F. E quam P. Ouod exac demonstranduti LI: 1ICI4. Ruin-
  42. Scholion.
  43. rC etiam pertineret propositio septuaa u otes=
  44. sionis inveniendum esset necessaria, coacti essemus citeriori loco collocare.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 121. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0178?run=74