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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 252

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. L L IPSIS
  2. constructio es demonserculo.
  3. deaco xquale rectangulum luper F B, B D; isitur _ quadraco A F. (nimirum GuartX
  4. parri quadraci AC, cA enim AC bisecta in F) aqualC reCtanGUIUM SUPCF RP, F B,
  5. quarca parsrectansuli FBD: quale, vein praecedenti ostendimus, ica criam hie
  6. b23 sexri. ostendemus FT C quacato Guase eHe rectangulum TFTFTB. acqui RhombusBTHI
  7. ad rectangulum TFTB, (rationes ent Llomei ad Rhomboidem de quadrari ad
  8. rectangulum exiisdem rarionibus componuntur nempe ex TFT; 2d IFI ex THI ad
  9. HIB, )etgocum quadracum THL deale sic rectangulo TFIB, etiam RhombusIFB
  10. ordinacim applicacx LFFB. Qu(quod demonstratu cst Facile) à Rhomboide F BHI
  11. in codemansulo, deticie khomboide limili ei qui in eodem ansulo sc à diametro
  12. hntc. 7. DB d recta bP. BIMI FB est lacus, c redum. Quod perebarur.
  13. Mnis recta (BF,) quae perterminum diamerri (BD) ducitur ordina-
  14. Ecquae caris enri ducirur parallela, eA ordinarim ad diametru applicata.
  15. Demonstratio.
  16. otnins. PD VCatuEpEF E cenrum diameTEF A C (2) coniugata ips BD, haneque conci.
  17. et ex
  18. huins.
  19. nux BD, AC, BF, ac B F quidem xquidistet diamCEO A C: ducacurque li-
  20. nea F D, qua AC rectum secer in K, ducancurque ordinarim linex C FT, quX FD
  21. linex occurrane in I: Ouoniam BD, A C, FB linex sune continux, erit A C qua-
  22. in angulo IFIB est ad Rhomboidem THI B in eodem angulo, ve quadratum IHI
  23. Rhomboidi TFTB aequalis crie; recta igitur PFT porest Rhomboidem in angulo
  24. erOPOSITIO XIII.
  25. tim applicatae (AC) r quidistans, elliplim contingit.
  26. enim recta BF non concingar ellipum, secer illam
  27. in C; diuisaque B C bitariam in FI, agacur per TI8
  28. E, K Loccurrens vemque peripherix in L _ R. Quo
  29. niam recta BC per Construccionem xquidistar AC
  30. recamque aurem bisactam seccerecra IK d cric lR d12
  31. meter e AC, BC lICa ordinacim ad illan poliex; leca
  32. detem perconstructtonem recca A C ordinacim quoque
  33. diameerum P D, igiettevna cademque reCTA A C ordi-
  34. naC LCCat duaS diaMeCtOS BD, TR. Ouod Aerinon po-
  35. cellidlias enim que ipli AC daceretur parallela, criam al
  36. veraque tameero BD, K I ac proinde in duobus pun-
  37. ccis bisecaretur; igirur patet FB lineam, sectionem
  38. con-
  39. ue u t ot a t t . u u que t pt t te e t e e u pu et e t t p t 1 e t i l 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 252. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0309?run=74