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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 112

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. E. SSTO N F S
  2. 289. tninc.
  3. Gressione BC, C E, F C, _c. e cundem cerminum habet: Acqus progressionis qua-
  4. druxix BC, CF, de c. terminos FI, Secaca C B in ratione rnius 2d duo, ergo CMaH
  5. cerminus propressionis AC, C B secaC C B, in racione rnius ad duo. Juare C’Hl di-
  6. midia est ipsius FIB, _ C B selquialcera ITB: ideogue A B cpIa IpluS HB; ac
  7. aenigue A FT dupla HIB; ergo cerminus propressionis AC, CP, el. UCat AB, in
  8. Lachonernius ad duo. vlcerius cum prooressiones AC, C B, dC. BD, 3 PB C.
  9. _c ad rocam seriem progressionis BD, D F, _c. b ve AC ad BD: QUarC CHM AC
  10. dupla Ac DB, cric quoque series propressionis AC, C B, ecc. id CH A HL. AdPIa
  11. seriei BD, DF, XC. Aequi AEI iam ostendimus criam duplam ese LLB, C18
  12. AFI, ad seriem prooressionis BD, D F, candem habecracionem quan a LIB. Vu
  13. de EIB aequalis estleriei B D, DF: vnde prooressionis BD, DF. setres l
  14. cur eriam in puncto TI. Juare per eadem procedens puncta, cum alcerna illa bile-
  15. etio Constiruar veramque proxressionem, illius quoque cerminus erir punouu ll.
  16. qsuius. eiuldem sincrationis, nempe quadruplae, exie tora series prosressionis AC, C E, E C.
  17. quo dividicur AB in racionernius ad duo: quod erac demonstrandum.
  18. Corollarium.
  19. X hoc Theorematereperietur areuscxilectio, s independencer L rrilectione, al
  20. Lcernx illius propressionis cerminus inveniarur. Cum enim Theoremarniuersale
  21. SIC, ex in quavis magnicudine demonstracio allaca valeac, s in arcu daco A B, Similis
  22. ctio repCrICEUT.
  23. alcerna Aac bilectin cerminus quoque progressionis alcernae FI, abseindet cerciam ar-
  24. cus parrem BFI: proincese lepelto alla ba alclorermino, arcus eriam dari crile.
  25. Aca sic magnicudo AC vrcunque secta in B: Deinde HaE ve A C ac
  26. BC, siC BC ad BD, d BD ad E D, _ E D ad L F, _ L. F ad HIF;
  27. Dico verim que consticucum iri duas progreltiones limiles, magnirudi-
  28. num AB, BL, LLL aC. _CO, DF, FC, ac. continue proporrionalium
  29. in ratione duplicata proporrionis AC ad BC.
  30. Demonstratio
  31. Voniam ex dacis A CB C, BD, ED, E F. XC. III Cmnux proporrionales.
  32. er CMeCHCACAB, CD, BF, DF, FH, FC. XC. CCaMIMCOMMMUA
  33. Thalogin, et quidem eo ordine reprima, cercia, quinca, seprima, e sic deinceps (in-
  34. cermisso semper numero medio) constimant seriem A; Secundo vero, quarta, (exta
  35. Octaua, _ Sic deinceps (semper omisto numero medio) seriem C, conticione. igiturve
  36. AB ad BF. prima adcerciam, (c. CD est ad D F, secunda ad quarram; d sic dein-
  37. ceps; adeoquerationes AB ad BE, _ BB 2d E FL, exc. limiles erunc racionibus
  38. CD 24
  39. atque sc alterna divilio semper Har;
  40. Vi i . 1 u ue s n e e n id

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 112. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0169?run=74