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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 601

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: 0.78.

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

The machine reads it as

  1. plie
  2. a dC
  3. ripsi
  4. H
  5. bi
  6. id
  7. SE
  8. Ext
  9. Et Y P E R B O Y
  10. 601
  11. in ratione quadrupla: quia vero F cerminus est prosressionis A B ad AC, _C. procC.
  12. denciuMMTacone GHAaBIICaLLC Wguogdecems e proseion pluton
  13. in ratione guadrupla, ex GF planum coriseriei aequale: vnde C: C planu, (I 1C pFI -
  14. musseriei cerminus ad religuum R F eA ve cera adrnu. Nam vel pacec ex construct. 2.
  15. propol. 80. de prooressionibus, primus cerminus seriei magnirudinum in ratione qua
  16. drupla, eAt ad reliquam seriem veprimi cermini qui est A, e lecundi qui cA I, a
  17. rencia, ad secundum terminum, hoc es ve z adr. eroo arario R C ad CFB criplica. 2 ENcon
  18. ca raciohis est NF an C, sa est AB ad. AC, criplicacam habcE LatlOI LC al huus.
  19. _. F. Duoderac demonstrandums
  20. Scholion.
  21. Qniene Lector, ex hac vltima propositione clare perspectum hades, Quo lendebant praeceden.
  22. res propositiones, scilicet ut aliquaratio posset inveniri etiam per stones ex hyper-
  23. bolas exhibendi anas medias proportionales inter duas a (signatas quantitates; quod profecto
  24. successisset, hanc alrimam propositione problematico more proponere soluere aeque feliciter
  25. licuisset atque priores resoluiae ac demonstrata sunt. Certe prima fronte remintuenti, facilior
  26. lonce videri posset ratio exhibendi terminum proeressionis quadruplicatae rationis, quam tri-
  27. plicatae vel saltem non minus facilis ac racionis duplicatae terminum eometu inuenimus.
  28. lonce tamen aliter rem curiosius incuenei apparet; interim viam aliquo uimusribii
  29. Et. scilubet, viteriore conatu eo pervenire studeas, quo nobis pondum licur.
  30. eR OBOSITLO
  31. 2=
  32. 11.
  33. Ociris alympeoris AB, BC, AY BCIDOI DL eibuluIs I E FC
  34. alympeoco paralens; Aac IlCMeatamer L, LC. DeindeIKme-
  35. dia incer HC, L C. Sennque L. M licaa Piopoenanst ; H1O:
  36. e NO media incer L. M, IlE ex lacPe al. alea ae protet.
  37. Sionis huius terminus ponatur P O. iuvvV
  38. 1101
  39. mDico PO Forername duabus mediisincer Destl.
  40. Demonstratio.
  41. ) Vomam DF, FG, FC cune
  42. Eut platioCCa qua 1+6, LR.
  43. C, eciam lunc in concinua, Plantunt
  44. HIC duplum est plani ILR. 1SICM
  45. planum D C duplum es plani HR.
  46. sed quia FIG, LMI, TR IOHCMACOI-
  47. cinua, planum FK duplum cst pla-
  48. ni HIM. ergo planum Des Guacu
  49. plum cA plani FTMI. Ergo proerento
  50. Planor DCHM. 80. Proceate in laciolie quadrupla quae cerminatur in l.
  51. SECIHO PTAHOTHI F K, LO, AC. LIIIIITEE PEOCEAIEI FaTIOIe GUAMMPTACCTMIatuE
  52. Plau LH. Ica, Verehabe umm nmmum proscessonum. cerm, plana, Heme
  53. DerLR. alenabem d cosetonestola, oc cplata .atCem eo ve
  54. Diatum Des duptum e pa LR. cist a plaum Des alpium plahit. f. (. C188 sression
  55. racio DF ad PO; duplicaca eA rarionis PO. ad. F C. c180. L CH Md. 6, 9114045
  56. medijsinter D e FC). Quod erac demonstrandum.
  57. 88E
  58. Lconinux, planum DG D aequa-
  59. 19. hit
  60. Deinde quoniain FTG, LR. F. C sunc in continua; plana FR, TC X. quantur: Ccd;
  61. GHIaHB.LMi LKluncin concinua, planum IC duplum cst plani IM. ergo pla-
  62. huM FK aopIu CMBIAM TMT. led quia P M. NO. TK Cunc in concinua, planum
  63. Lus adplum est plani l0. ergo planum FK quadruplum est plani I0. Frgo pro-
  64. uremn S. Lat veco Guoam (Deapia ocendimus) planum D C+ Zguaeur bld-
  65. HO ELC; d planum TIC duplum est plani fi K, eric quoqueplanim DC dupiaul
  66. oouoeotsMatoa1019

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 601. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0658?run=74